Details

analyze494.0ms (6%)

Algorithm

1×	search
2×	egg-herbie

Rules

20×	`+-commutative_binary64_7510`
12×	`associate-+l+_binary64_7513` `associate-+r+_binary64_7512`
4×	`*-commutative_binary64_7511`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_7843` `erf-erfc_binary64_7842` `erf-odd_binary64_7841` `if-if-and-not_binary64_7840` `if-if-and_binary64_7839` `if-if-or-not_binary64_7838` `if-if-or_binary64_7837` `if-not_binary64_7836` `if-same_binary64_7835` `if-false_binary64_7834` `if-true_binary64_7833` `not-gte_binary64_7832` `not-lte_binary64_7831` `not-gt_binary64_7830` `not-lt_binary64_7829` `gte-same_binary64_7828` `lte-same_binary64_7827` `gt-same_binary64_7826` `lt-same_binary64_7825` `sinh---cosh_binary64_7772` `sinh-+-cosh_binary64_7771` `sinh-cosh_binary64_7770` `tanh-def-c_binary64_7769` `tanh-def-b_binary64_7768` `tanh-def-a_binary64_7767` `cosh-def_binary64_7766` `sinh-def_binary64_7765` `tan-neg_binary64_7712` `cos-neg_binary64_7711` `sin-neg_binary64_7710` `tan-0_binary64_7709` `cos-0_binary64_7708` `sin-0_binary64_7707` `hang-m-tan_binary64_7706` `hang-p-tan_binary64_7705` `hang-m0-tan_binary64_7704` `hang-p0-tan_binary64_7703` `hang-0m-tan_binary64_7702` `hang-0p-tan_binary64_7701` `tan-+PI/2_binary64_7700` `tan-+PI_binary64_7699` `tan-PI_binary64_7698` `tan-PI/3_binary64_7697` `tan-PI/4_binary64_7696` `tan-PI/6_binary64_7695` `cos-+PI/2_binary64_7694` `cos-+PI_binary64_7693` `cos-PI_binary64_7692` `cos-PI/2_binary64_7691` `cos-PI/3_binary64_7690` `cos-PI/4_binary64_7689` `cos-PI/6_binary64_7688` `sin-+PI/2_binary64_7687` `sin-+PI_binary64_7686` `sin-PI_binary64_7685` `sin-PI/2_binary64_7684` `sin-PI/3_binary64_7683` `sin-PI/4_binary64_7682` `sin-PI/6_binary64_7681` `sub-1-sin_binary64_7680` `sub-1-cos_binary64_7679` `-1-add-sin_binary64_7678` `-1-add-cos_binary64_7677` `1-sub-sin_binary64_7676` `1-sub-cos_binary64_7675` `cos-sin-sum_binary64_7674` `log-E_binary64_7670` `log-pow_binary64_7669` `log-rec_binary64_7668` `log-div_binary64_7667` `log-prod_binary64_7666` `pow-base-0_binary64_7664` `unpow1/3_binary64_7647` `unpow3_binary64_7646` `unpow2_binary64_7645` `unpow1/2_binary64_7644` `pow-plus_binary64_7643` `exp-to-pow_binary64_7642` `pow-base-1_binary64_7640` `unpow0_binary64_7639` `unpow1_binary64_7638` `unpow-1_binary64_7637` `exp-lft-cube_binary64_7636` `exp-lft-sqr_binary64_7635` `exp-cbrt_binary64_7634` `exp-sqrt_binary64_7633` `exp-prod_binary64_7632` `div-exp_binary64_7631` `rec-exp_binary64_7630` `prod-exp_binary64_7629` `exp-diff_binary64_7628` `exp-neg_binary64_7627` `exp-sum_binary64_7626` `e-exp-1_binary64_7625` `1-exp_binary64_7624` `exp-1-e_binary64_7623` `exp-0_binary64_7622` `rem-log-exp_binary64_7621` `rem-exp-log_binary64_7620` `cube-unmult_binary64_7617` `cube-mult_binary64_7610` `cube-div_binary64_7609` `cube-prod_binary64_7608` `cube-neg_binary64_7607` `rem-3cbrt-rft_binary64_7606` `rem-3cbrt-lft_binary64_7605` `rem-cbrt-cube_binary64_7604` `rem-cube-cbrt_binary64_7603` `sqr-abs_binary64_7595` `sqr-neg_binary64_7594` `rem-sqrt-square_binary64_7593` `rem-square-sqrt_binary64_7592` `times-frac_binary64_7586` `div-sub_binary64_7585` `neg-mul-1_binary64_7576` `neg-sub0_binary64_7575` `unsub-neg_binary64_7574` `sub-neg_binary64_7573` `mul-1-neg_binary64_7572` `/-rgt-identity_binary64_7571` `-rgt-identity_binary64_7570` `-lft-identity_binary64_7569` `remove-double-neg_binary64_7568` `sub0-neg_binary64_7567` `--rgt-identity_binary64_7566` `+-rgt-identity_binary64_7565` `+-lft-identity_binary64_7564` `mul0-rgt_binary64_7563` `mul0-lft_binary64_7562` `div0_binary64_7561` `-inverses_binary64_7560` `+-inverses_binary64_7559` `lft-mult-inverse_binary64_7558` `rgt-mult-inverse_binary64_7557` `remove-double-div_binary64_7556` `pow-sqr_binary64_7553` `sqr-pow_binary64_7552` `difference-of-sqr--1_binary64_7551` `difference-of-sqr-1_binary64_7550` `difference-of-squares_binary64_7549` `unswap-sqr_binary64_7548` `swap-sqr_binary64_7547` `cancel-sign-sub-inv_binary64_7546` `cancel-sign-sub_binary64_7545` `distribute-neg-frac_binary64_7544` `distribute-frac-neg_binary64_7543` `distribute-neg-out_binary64_7542` `distribute-neg-in_binary64_7541` `distribute-rgt-neg-out_binary64_7540` `distribute-lft-neg-out_binary64_7539` `distribute-rgt-neg-in_binary64_7538` `distribute-lft-neg-in_binary64_7537` `distribute-rgt1-in_binary64_7536` `distribute-lft1-in_binary64_7535` `distribute-rgt-out--_binary64_7534` `distribute-rgt-out_binary64_7533` `distribute-lft-out--_binary64_7532` `distribute-lft-out_binary64_7531` `distribute-rgt-in_binary64_7530` `distribute-lft-in_binary64_7529` `count-2_binary64_7528` `associate-/l/_binary64_7527` `associate-/r/_binary64_7526` `associate-/l_binary64_7525` `associate-/r_binary64_7524` `associate-l/_binary64_7523` `associate-r/_binary64_7522` `associate-l_binary64_7521` `associate-r*_binary64_7520` `associate--r-_binary64_7519` `associate--l-_binary64_7518` `associate--l+_binary64_7517` `associate--r+_binary64_7516` `associate-+l-_binary64_7515` `associate-+r-_binary64_7514`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	42	56
2	66	56
3	66	56
4	66	56
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample40.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	47×	body	1024	valid
10.0ms	175×	body	128	valid
5.0ms	28×	body	512	valid
1.0ms	6×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64_7510`
3×	`associate-+l+_binary64_7513` `associate-+r+_binary64_7512`
1×	`*-commutative_binary64_7511`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_7843` `erf-erfc_binary64_7842` `erf-odd_binary64_7841` `if-if-and-not_binary64_7840` `if-if-and_binary64_7839` `if-if-or-not_binary64_7838` `if-if-or_binary64_7837` `if-not_binary64_7836` `if-same_binary64_7835` `if-false_binary64_7834` `if-true_binary64_7833` `not-gte_binary64_7832` `not-lte_binary64_7831` `not-gt_binary64_7830` `not-lt_binary64_7829` `gte-same_binary64_7828` `lte-same_binary64_7827` `gt-same_binary64_7826` `lt-same_binary64_7825` `sinh---cosh_binary64_7772` `sinh-+-cosh_binary64_7771` `sinh-cosh_binary64_7770` `tanh-def-c_binary64_7769` `tanh-def-b_binary64_7768` `tanh-def-a_binary64_7767` `cosh-def_binary64_7766` `sinh-def_binary64_7765` `tan-neg_binary64_7712` `cos-neg_binary64_7711` `sin-neg_binary64_7710` `tan-0_binary64_7709` `cos-0_binary64_7708` `sin-0_binary64_7707` `hang-m-tan_binary64_7706` `hang-p-tan_binary64_7705` `hang-m0-tan_binary64_7704` `hang-p0-tan_binary64_7703` `hang-0m-tan_binary64_7702` `hang-0p-tan_binary64_7701` `tan-+PI/2_binary64_7700` `tan-+PI_binary64_7699` `tan-PI_binary64_7698` `tan-PI/3_binary64_7697` `tan-PI/4_binary64_7696` `tan-PI/6_binary64_7695` `cos-+PI/2_binary64_7694` `cos-+PI_binary64_7693` `cos-PI_binary64_7692` `cos-PI/2_binary64_7691` `cos-PI/3_binary64_7690` `cos-PI/4_binary64_7689` `cos-PI/6_binary64_7688` `sin-+PI/2_binary64_7687` `sin-+PI_binary64_7686` `sin-PI_binary64_7685` `sin-PI/2_binary64_7684` `sin-PI/3_binary64_7683` `sin-PI/4_binary64_7682` `sin-PI/6_binary64_7681` `sub-1-sin_binary64_7680` `sub-1-cos_binary64_7679` `-1-add-sin_binary64_7678` `-1-add-cos_binary64_7677` `1-sub-sin_binary64_7676` `1-sub-cos_binary64_7675` `cos-sin-sum_binary64_7674` `log-E_binary64_7670` `log-pow_binary64_7669` `log-rec_binary64_7668` `log-div_binary64_7667` `log-prod_binary64_7666` `pow-base-0_binary64_7664` `unpow1/3_binary64_7647` `unpow3_binary64_7646` `unpow2_binary64_7645` `unpow1/2_binary64_7644` `pow-plus_binary64_7643` `exp-to-pow_binary64_7642` `pow-base-1_binary64_7640` `unpow0_binary64_7639` `unpow1_binary64_7638` `unpow-1_binary64_7637` `exp-lft-cube_binary64_7636` `exp-lft-sqr_binary64_7635` `exp-cbrt_binary64_7634` `exp-sqrt_binary64_7633` `exp-prod_binary64_7632` `div-exp_binary64_7631` `rec-exp_binary64_7630` `prod-exp_binary64_7629` `exp-diff_binary64_7628` `exp-neg_binary64_7627` `exp-sum_binary64_7626` `e-exp-1_binary64_7625` `1-exp_binary64_7624` `exp-1-e_binary64_7623` `exp-0_binary64_7622` `rem-log-exp_binary64_7621` `rem-exp-log_binary64_7620` `cube-unmult_binary64_7617` `cube-mult_binary64_7610` `cube-div_binary64_7609` `cube-prod_binary64_7608` `cube-neg_binary64_7607` `rem-3cbrt-rft_binary64_7606` `rem-3cbrt-lft_binary64_7605` `rem-cbrt-cube_binary64_7604` `rem-cube-cbrt_binary64_7603` `sqr-abs_binary64_7595` `sqr-neg_binary64_7594` `rem-sqrt-square_binary64_7593` `rem-square-sqrt_binary64_7592` `times-frac_binary64_7586` `div-sub_binary64_7585` `neg-mul-1_binary64_7576` `neg-sub0_binary64_7575` `unsub-neg_binary64_7574` `sub-neg_binary64_7573` `mul-1-neg_binary64_7572` `/-rgt-identity_binary64_7571` `-rgt-identity_binary64_7570` `-lft-identity_binary64_7569` `remove-double-neg_binary64_7568` `sub0-neg_binary64_7567` `--rgt-identity_binary64_7566` `+-rgt-identity_binary64_7565` `+-lft-identity_binary64_7564` `mul0-rgt_binary64_7563` `mul0-lft_binary64_7562` `div0_binary64_7561` `-inverses_binary64_7560` `+-inverses_binary64_7559` `lft-mult-inverse_binary64_7558` `rgt-mult-inverse_binary64_7557` `remove-double-div_binary64_7556` `pow-sqr_binary64_7553` `sqr-pow_binary64_7552` `difference-of-sqr--1_binary64_7551` `difference-of-sqr-1_binary64_7550` `difference-of-squares_binary64_7549` `unswap-sqr_binary64_7548` `swap-sqr_binary64_7547` `cancel-sign-sub-inv_binary64_7546` `cancel-sign-sub_binary64_7545` `distribute-neg-frac_binary64_7544` `distribute-frac-neg_binary64_7543` `distribute-neg-out_binary64_7542` `distribute-neg-in_binary64_7541` `distribute-rgt-neg-out_binary64_7540` `distribute-lft-neg-out_binary64_7539` `distribute-rgt-neg-in_binary64_7538` `distribute-lft-neg-in_binary64_7537` `distribute-rgt1-in_binary64_7536` `distribute-lft1-in_binary64_7535` `distribute-rgt-out--_binary64_7534` `distribute-rgt-out_binary64_7533` `distribute-lft-out--_binary64_7532` `distribute-lft-out_binary64_7531` `distribute-rgt-in_binary64_7530` `distribute-lft-in_binary64_7529` `count-2_binary64_7528` `associate-/l/_binary64_7527` `associate-/r/_binary64_7526` `associate-/l_binary64_7525` `associate-/r_binary64_7524` `associate-l/_binary64_7523` `associate-r/_binary64_7522` `associate-l_binary64_7521` `associate-r*_binary64_7520` `associate--r-_binary64_7519` `associate--l-_binary64_7518` `associate--l+_binary64_7517` `associate--r+_binary64_7516` `associate-+l-_binary64_7515` `associate-+r-_binary64_7514`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	14	14
2	20	14
3	20	14
4	20	14

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.1b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
0.1b	(*.f64 z (cos.f64 y))

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64_7619`
6×	`add-sqr-sqrt_binary64_7602`
4×	`pow1_binary64_7641` `add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616` `add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
3×	`associate-l_binary64_7521` `associate-r_binary64_7520` `sum-log_binary64_7671`
1×	`pow-prod-down_binary64_7651` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `unswap-sqr_binary64_7548` `*-commutative_binary64_7511` `flip3-+_binary64_7583` `flip-+_binary64_7554` `associate-+l+_binary64_7513` `+-commutative_binary64_7510`

Counts

2 → 31

Calls

2 calls:

7.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
4.0ms	(*.f64 z (cos.f64 y))

Compiler

Compiled 497 to 116 computations (76.7% saved)

series370.0ms (4.5%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

265.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
89.0ms	(*.f64 z (cos.f64 y))

Compiler

Compiled 516 to 335 computations (35.1% saved)

simplify122.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

486×	`associate--r+_binary64_7516`
364×	`associate--l+_binary64_7517`
343×	`sub-neg_binary64_7573`
308×	`associate-+l-_binary64_7515`
306×	`*-commutative_binary64_7511`
272×	`distribute-rgt-in_binary64_7530`
257×	`distribute-lft-in_binary64_7529`
244×	`associate-l_binary64_7521`
237×	`+-commutative_binary64_7510`
227×	`cancel-sign-sub-inv_binary64_7546`
199×	`unsub-neg_binary64_7574`
187×	`associate-r_binary64_7520`
178×	`distribute-rgt-neg-in_binary64_7538`
152×	`distribute-rgt-out_binary64_7533`
149×	`distribute-lft-neg-in_binary64_7537`
143×	`neg-mul-1_binary64_7576`
122×	`neg-sub0_binary64_7575`
117×	`associate--r-_binary64_7519`
110×	`associate-+l+_binary64_7513`
101×	`distribute-neg-in_binary64_7541`
85×	`distribute-rgt-out--_binary64_7534`
80×	`associate-+r+_binary64_7512`
64×	`unswap-sqr_binary64_7548`
63×	`distribute-lft-out_binary64_7531`
58×	`associate-+r-_binary64_7514`
56×	`sqr-pow_binary64_7552`
52×	`associate--l-_binary64_7518`
37×	`exp-prod_binary64_7632`
31×	`sub0-neg_binary64_7567`
30×	`distribute-lft-neg-out_binary64_7539`
29×	`exp-sum_binary64_7626` `*-lft-identity_binary64_7569`
27×	`*-rgt-identity_binary64_7570`
25×	`exp-diff_binary64_7628`
24×	`+-rgt-identity_binary64_7565`
17×	`distribute-rgt-neg-out_binary64_7540`
15×	`distribute-lft-out--_binary64_7532`
14×	`swap-sqr_binary64_7547`
12×	`cube-prod_binary64_7608`
11×	`log-prod_binary64_7666` `unpow3_binary64_7646`
10×	`cube-unmult_binary64_7617` `pow-sqr_binary64_7553`
9×	`rem-sqrt-square_binary64_7593` `associate-/l*_binary64_7525`
8×	`div-sub_binary64_7585` `distribute-neg-out_binary64_7542`
7×	`pow-plus_binary64_7643` `associate-/l/_binary64_7527`
6×	`difference-of-squares_binary64_7549`
5×	`unpow1/2_binary64_7644` `prod-exp_binary64_7629` `cancel-sign-sub_binary64_7545`
4×	`associate-*r/_binary64_7522`
3×	`distribute-rgt1-in_binary64_7536`
2×	`rec-exp_binary64_7630` `cube-mult_binary64_7610` `associate-/r/_binary64_7526` `associate-/r*_binary64_7524`
1×	`unpow2_binary64_7645` `unpow1_binary64_7638` `1-exp_binary64_7624` `exp-1-e_binary64_7623` `cube-neg_binary64_7607` `remove-double-neg_binary64_7568` `count-2_binary64_7528` `associate-*l/_binary64_7523`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_7843` `erf-erfc_binary64_7842` `erf-odd_binary64_7841` `if-if-and-not_binary64_7840` `if-if-and_binary64_7839` `if-if-or-not_binary64_7838` `if-if-or_binary64_7837` `if-not_binary64_7836` `if-same_binary64_7835` `if-false_binary64_7834` `if-true_binary64_7833` `not-gte_binary64_7832` `not-lte_binary64_7831` `not-gt_binary64_7830` `not-lt_binary64_7829` `gte-same_binary64_7828` `lte-same_binary64_7827` `gt-same_binary64_7826` `lt-same_binary64_7825` `sinh---cosh_binary64_7772` `sinh-+-cosh_binary64_7771` `sinh-cosh_binary64_7770` `tanh-def-c_binary64_7769` `tanh-def-b_binary64_7768` `tanh-def-a_binary64_7767` `cosh-def_binary64_7766` `sinh-def_binary64_7765` `tan-neg_binary64_7712` `cos-neg_binary64_7711` `sin-neg_binary64_7710` `tan-0_binary64_7709` `cos-0_binary64_7708` `sin-0_binary64_7707` `hang-m-tan_binary64_7706` `hang-p-tan_binary64_7705` `hang-m0-tan_binary64_7704` `hang-p0-tan_binary64_7703` `hang-0m-tan_binary64_7702` `hang-0p-tan_binary64_7701` `tan-+PI/2_binary64_7700` `tan-+PI_binary64_7699` `tan-PI_binary64_7698` `tan-PI/3_binary64_7697` `tan-PI/4_binary64_7696` `tan-PI/6_binary64_7695` `cos-+PI/2_binary64_7694` `cos-+PI_binary64_7693` `cos-PI_binary64_7692` `cos-PI/2_binary64_7691` `cos-PI/3_binary64_7690` `cos-PI/4_binary64_7689` `cos-PI/6_binary64_7688` `sin-+PI/2_binary64_7687` `sin-+PI_binary64_7686` `sin-PI_binary64_7685` `sin-PI/2_binary64_7684` `sin-PI/3_binary64_7683` `sin-PI/4_binary64_7682` `sin-PI/6_binary64_7681` `sub-1-sin_binary64_7680` `sub-1-cos_binary64_7679` `-1-add-sin_binary64_7678` `-1-add-cos_binary64_7677` `1-sub-sin_binary64_7676` `1-sub-cos_binary64_7675` `cos-sin-sum_binary64_7674` `log-E_binary64_7670` `log-pow_binary64_7669` `log-rec_binary64_7668` `log-div_binary64_7667` `pow-base-0_binary64_7664` `unpow1/3_binary64_7647` `exp-to-pow_binary64_7642` `pow-base-1_binary64_7640` `unpow0_binary64_7639` `unpow-1_binary64_7637` `exp-lft-cube_binary64_7636` `exp-lft-sqr_binary64_7635` `exp-cbrt_binary64_7634` `exp-sqrt_binary64_7633` `div-exp_binary64_7631` `exp-neg_binary64_7627` `e-exp-1_binary64_7625` `exp-0_binary64_7622` `rem-log-exp_binary64_7621` `rem-exp-log_binary64_7620` `cube-div_binary64_7609` `rem-3cbrt-rft_binary64_7606` `rem-3cbrt-lft_binary64_7605` `rem-cbrt-cube_binary64_7604` `rem-cube-cbrt_binary64_7603` `sqr-abs_binary64_7595` `sqr-neg_binary64_7594` `rem-square-sqrt_binary64_7592` `times-frac_binary64_7586` `mul-1-neg_binary64_7572` `/-rgt-identity_binary64_7571` `--rgt-identity_binary64_7566` `+-lft-identity_binary64_7564` `mul0-rgt_binary64_7563` `mul0-lft_binary64_7562` `div0_binary64_7561` `*-inverses_binary64_7560` `+-inverses_binary64_7559` `lft-mult-inverse_binary64_7558` `rgt-mult-inverse_binary64_7557` `remove-double-div_binary64_7556` `difference-of-sqr--1_binary64_7551` `difference-of-sqr-1_binary64_7550` `distribute-neg-frac_binary64_7544` `distribute-frac-neg_binary64_7543` `distribute-lft1-in_binary64_7535`

Counts

55 → 35

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	678
1	186	649
2	580	649
3	1883	649
4	2554	649
5	4716	649
6	4959	649
7	4998	649
8	4948	649

prune36.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Error

0.0b

Counts

36 → 5

Compiler

Compiled 526 to 129 computations (75.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite87.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_7611`
23×	`add-sqr-sqrt_binary64_7602`
15×	`add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
11×	`pow1_binary64_7641`
9×	`pow1/3_binary64_7662`
6×	`add-exp-log_binary64_7618` `swap-sqr_binary64_7547` `associate-l_binary64_7521` `associate-r_binary64_7520`
4×	`add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `unswap-sqr_binary64_7548`
2×	`pow-prod-down_binary64_7651` `pow-prod-up_binary64_7650` `pow-sqr_binary64_7553`
1×	`pow2_binary64_7661` `pow-plus_binary64_7643` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `*-commutative_binary64_7511`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1524 to 318 computations (79.1% saved)

series473.0ms (5.7%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

134.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
112.0ms	(cbrt.f64 z)
107.0ms	(cbrt.f64 z)
107.0ms	(cbrt.f64 z)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64_7666`
416×	`sqr-pow_binary64_7552`
335×	`associate-l_binary64_7521`
309×	`*-commutative_binary64_7511`
277×	`distribute-rgt-neg-in_binary64_7538`
257×	`distribute-lft-neg-in_binary64_7537`
227×	`associate-r_binary64_7520`
188×	`exp-prod_binary64_7632`
161×	`log-pow_binary64_7669`
149×	`cube-prod_binary64_7608`
128×	`pow-sqr_binary64_7553`
124×	`unswap-sqr_binary64_7548`
111×	`swap-sqr_binary64_7547`
104×	`associate-/l*_binary64_7525`
81×	`cancel-sign-sub-inv_binary64_7546`
75×	`associate-+l+_binary64_7513`
69×	`associate-+r+_binary64_7512`
61×	`distribute-rgt-in_binary64_7530`
60×	`distribute-lft-out_binary64_7531`
57×	`distribute-lft-in_binary64_7529`
54×	`neg-sub0_binary64_7575`
53×	`neg-mul-1_binary64_7576`
48×	`distribute-rgt-out_binary64_7533`
45×	`+-commutative_binary64_7510`
43×	`pow-plus_binary64_7643` `rem-sqrt-square_binary64_7593`
41×	`times-frac_binary64_7586` `sub-neg_binary64_7573`
37×	`associate-/r/_binary64_7526`
35×	`associate-*r/_binary64_7522`
32×	`unpow3_binary64_7646`
31×	`-rgt-identity_binary64_7570` `-lft-identity_binary64_7569` `associate-/l/_binary64_7527`
29×	`count-2_binary64_7528`
27×	`cube-mult_binary64_7610`
24×	`associate-/r*_binary64_7524`
17×	`log-div_binary64_7667` `cube-div_binary64_7609` `distribute-neg-frac_binary64_7544`
13×	`cube-unmult_binary64_7617` `distribute-rgt1-in_binary64_7536`
11×	`distribute-rgt-neg-out_binary64_7540`
10×	`unpow1/2_binary64_7644`
9×	`distribute-lft-neg-out_binary64_7539` `distribute-lft1-in_binary64_7535`
8×	`unpow2_binary64_7645` `associate-*l/_binary64_7523`
5×	`unpow1_binary64_7638`
3×	`unpow1/3_binary64_7647`
2×	`exp-sqrt_binary64_7633` `rem-3cbrt-lft_binary64_7605` `rem-cbrt-cube_binary64_7604` `mul-1-neg_binary64_7572`
1×	`exp-lft-sqr_binary64_7635` `1-exp_binary64_7624` `exp-1-e_binary64_7623` `rem-3cbrt-rft_binary64_7606` `rem-square-sqrt_binary64_7592` `sub0-neg_binary64_7567` `--rgt-identity_binary64_7566` `associate-+l-_binary64_7515`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_7843` `erf-erfc_binary64_7842` `erf-odd_binary64_7841` `if-if-and-not_binary64_7840` `if-if-and_binary64_7839` `if-if-or-not_binary64_7838` `if-if-or_binary64_7837` `if-not_binary64_7836` `if-same_binary64_7835` `if-false_binary64_7834` `if-true_binary64_7833` `not-gte_binary64_7832` `not-lte_binary64_7831` `not-gt_binary64_7830` `not-lt_binary64_7829` `gte-same_binary64_7828` `lte-same_binary64_7827` `gt-same_binary64_7826` `lt-same_binary64_7825` `sinh---cosh_binary64_7772` `sinh-+-cosh_binary64_7771` `sinh-cosh_binary64_7770` `tanh-def-c_binary64_7769` `tanh-def-b_binary64_7768` `tanh-def-a_binary64_7767` `cosh-def_binary64_7766` `sinh-def_binary64_7765` `tan-neg_binary64_7712` `cos-neg_binary64_7711` `sin-neg_binary64_7710` `tan-0_binary64_7709` `cos-0_binary64_7708` `sin-0_binary64_7707` `hang-m-tan_binary64_7706` `hang-p-tan_binary64_7705` `hang-m0-tan_binary64_7704` `hang-p0-tan_binary64_7703` `hang-0m-tan_binary64_7702` `hang-0p-tan_binary64_7701` `tan-+PI/2_binary64_7700` `tan-+PI_binary64_7699` `tan-PI_binary64_7698` `tan-PI/3_binary64_7697` `tan-PI/4_binary64_7696` `tan-PI/6_binary64_7695` `cos-+PI/2_binary64_7694` `cos-+PI_binary64_7693` `cos-PI_binary64_7692` `cos-PI/2_binary64_7691` `cos-PI/3_binary64_7690` `cos-PI/4_binary64_7689` `cos-PI/6_binary64_7688` `sin-+PI/2_binary64_7687` `sin-+PI_binary64_7686` `sin-PI_binary64_7685` `sin-PI/2_binary64_7684` `sin-PI/3_binary64_7683` `sin-PI/4_binary64_7682` `sin-PI/6_binary64_7681` `sub-1-sin_binary64_7680` `sub-1-cos_binary64_7679` `-1-add-sin_binary64_7678` `-1-add-cos_binary64_7677` `1-sub-sin_binary64_7676` `1-sub-cos_binary64_7675` `cos-sin-sum_binary64_7674` `log-E_binary64_7670` `log-rec_binary64_7668` `pow-base-0_binary64_7664` `exp-to-pow_binary64_7642` `pow-base-1_binary64_7640` `unpow0_binary64_7639` `unpow-1_binary64_7637` `exp-lft-cube_binary64_7636` `exp-cbrt_binary64_7634` `div-exp_binary64_7631` `rec-exp_binary64_7630` `prod-exp_binary64_7629` `exp-diff_binary64_7628` `exp-neg_binary64_7627` `exp-sum_binary64_7626` `e-exp-1_binary64_7625` `exp-0_binary64_7622` `rem-log-exp_binary64_7621` `rem-exp-log_binary64_7620` `cube-neg_binary64_7607` `rem-cube-cbrt_binary64_7603` `sqr-abs_binary64_7595` `sqr-neg_binary64_7594` `div-sub_binary64_7585` `unsub-neg_binary64_7574` `/-rgt-identity_binary64_7571` `remove-double-neg_binary64_7568` `+-rgt-identity_binary64_7565` `+-lft-identity_binary64_7564` `mul0-rgt_binary64_7563` `mul0-lft_binary64_7562` `div0_binary64_7561` `*-inverses_binary64_7560` `+-inverses_binary64_7559` `lft-mult-inverse_binary64_7558` `rgt-mult-inverse_binary64_7557` `remove-double-div_binary64_7556` `difference-of-sqr--1_binary64_7551` `difference-of-sqr-1_binary64_7550` `difference-of-squares_binary64_7549` `cancel-sign-sub_binary64_7545` `distribute-frac-neg_binary64_7543` `distribute-neg-out_binary64_7542` `distribute-neg-in_binary64_7541` `distribute-rgt-out--_binary64_7534` `distribute-lft-out--_binary64_7532` `associate--r-_binary64_7519` `associate--l-_binary64_7518` `associate--l+_binary64_7517` `associate--r+_binary64_7516` `associate-+r-_binary64_7514`

Counts

85 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	718
1	97	666
2	308	646
3	1135	632
4	2034	548
5	3257	548
6	4939	548
7	4873	548

prune59.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	48	7	55

Error

0.0b

Counts

55 → 7

Compiler

Compiled 1012 to 300 computations (70.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 5)

rewrite82.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`cbrt-prod_binary64_7611`
11×	`add-cube-cbrt_binary64_7615` `add-sqr-sqrt_binary64_7602` `*-un-lft-identity_binary64_7580`
9×	`unpow-prod-down_binary64_7659`
5×	`pow1_binary64_7641` `add-exp-log_binary64_7618`
4×	`pow1/3_binary64_7662` `add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616`
3×	`pow-unpow_binary64_7657`
2×	`pow-pow_binary64_7652`
1×	`pow-to-exp_binary64_7649` `pow-exp_binary64_7648` `sqr-pow_binary64_7552`

Counts

4 → 57

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 5)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1427 to 459 computations (67.8% saved)

series580.0ms (7%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

232.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 5)
116.0ms	(cbrt.f64 z)
116.0ms	(cbrt.f64 z)
102.0ms	(cbrt.f64 z)

Compiler

Compiled 819 to 570 computations (30.4% saved)

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

592×	`associate-l_binary64_7521`
402×	`associate-r_binary64_7520`
334×	`log-prod_binary64_7666`
291×	`distribute-rgt-in_binary64_7530`
287×	`distribute-lft-in_binary64_7529`
190×	`sqr-pow_binary64_7552`
162×	`unswap-sqr_binary64_7548`
142×	`cube-prod_binary64_7608`
138×	`exp-prod_binary64_7632`
137×	`associate-+l+_binary64_7513` `associate-+r+_binary64_7512`
98×	`distribute-rgt-neg-in_binary64_7538` `distribute-lft-neg-in_binary64_7537`
85×	`*-commutative_binary64_7511`
78×	`associate-/l*_binary64_7525`
73×	`log-pow_binary64_7669`
55×	`unpow3_binary64_7646`
50×	`cube-unmult_binary64_7617`
48×	`neg-sub0_binary64_7575`
47×	`neg-mul-1_binary64_7576`
46×	`pow-plus_binary64_7643`
40×	`associate-/l/_binary64_7527`
38×	`cancel-sign-sub-inv_binary64_7546`
35×	`pow-sqr_binary64_7553` `distribute-rgt-out_binary64_7533`
30×	`cube-mult_binary64_7610` `unsub-neg_binary64_7574`
27×	`times-frac_binary64_7586`
26×	`count-2_binary64_7528`
25×	`associate-*r/_binary64_7522`
22×	`swap-sqr_binary64_7547`
21×	`distribute-rgt-neg-out_binary64_7540` `distribute-lft-neg-out_binary64_7539` `associate-/r*_binary64_7524`
20×	`distribute-lft-out_binary64_7531`
16×	`associate-/r/_binary64_7526`
9×	`sub-neg_binary64_7573`
7×	`rem-sqrt-square_binary64_7593`
5×	`unpow2_binary64_7645` `-lft-identity_binary64_7569` `associate-l/_binary64_7523` `+-commutative_binary64_7510`
4×	`*-rgt-identity_binary64_7570` `distribute-rgt1-in_binary64_7536`
3×	`unpow1/3_binary64_7647`
2×	`mul-1-neg_binary64_7572` `/-rgt-identity_binary64_7571` `associate-+l-_binary64_7515`
1×	`unpow1/2_binary64_7644` `unpow1_binary64_7638` `1-exp_binary64_7624` `rem-3cbrt-lft_binary64_7605` `rem-cube-cbrt_binary64_7603`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_7843` `erf-erfc_binary64_7842` `erf-odd_binary64_7841` `if-if-and-not_binary64_7840` `if-if-and_binary64_7839` `if-if-or-not_binary64_7838` `if-if-or_binary64_7837` `if-not_binary64_7836` `if-same_binary64_7835` `if-false_binary64_7834` `if-true_binary64_7833` `not-gte_binary64_7832` `not-lte_binary64_7831` `not-gt_binary64_7830` `not-lt_binary64_7829` `gte-same_binary64_7828` `lte-same_binary64_7827` `gt-same_binary64_7826` `lt-same_binary64_7825` `sinh---cosh_binary64_7772` `sinh-+-cosh_binary64_7771` `sinh-cosh_binary64_7770` `tanh-def-c_binary64_7769` `tanh-def-b_binary64_7768` `tanh-def-a_binary64_7767` `cosh-def_binary64_7766` `sinh-def_binary64_7765` `tan-neg_binary64_7712` `cos-neg_binary64_7711` `sin-neg_binary64_7710` `tan-0_binary64_7709` `cos-0_binary64_7708` `sin-0_binary64_7707` `hang-m-tan_binary64_7706` `hang-p-tan_binary64_7705` `hang-m0-tan_binary64_7704` `hang-p0-tan_binary64_7703` `hang-0m-tan_binary64_7702` `hang-0p-tan_binary64_7701` `tan-+PI/2_binary64_7700` `tan-+PI_binary64_7699` `tan-PI_binary64_7698` `tan-PI/3_binary64_7697` `tan-PI/4_binary64_7696` `tan-PI/6_binary64_7695` `cos-+PI/2_binary64_7694` `cos-+PI_binary64_7693` `cos-PI_binary64_7692` `cos-PI/2_binary64_7691` `cos-PI/3_binary64_7690` `cos-PI/4_binary64_7689` `cos-PI/6_binary64_7688` `sin-+PI/2_binary64_7687` `sin-+PI_binary64_7686` `sin-PI_binary64_7685` `sin-PI/2_binary64_7684` `sin-PI/3_binary64_7683` `sin-PI/4_binary64_7682` `sin-PI/6_binary64_7681` `sub-1-sin_binary64_7680` `sub-1-cos_binary64_7679` `-1-add-sin_binary64_7678` `-1-add-cos_binary64_7677` `1-sub-sin_binary64_7676` `1-sub-cos_binary64_7675` `cos-sin-sum_binary64_7674` `log-E_binary64_7670` `log-rec_binary64_7668` `log-div_binary64_7667` `pow-base-0_binary64_7664` `exp-to-pow_binary64_7642` `pow-base-1_binary64_7640` `unpow0_binary64_7639` `unpow-1_binary64_7637` `exp-lft-cube_binary64_7636` `exp-lft-sqr_binary64_7635` `exp-cbrt_binary64_7634` `exp-sqrt_binary64_7633` `div-exp_binary64_7631` `rec-exp_binary64_7630` `prod-exp_binary64_7629` `exp-diff_binary64_7628` `exp-neg_binary64_7627` `exp-sum_binary64_7626` `e-exp-1_binary64_7625` `exp-1-e_binary64_7623` `exp-0_binary64_7622` `rem-log-exp_binary64_7621` `rem-exp-log_binary64_7620` `cube-div_binary64_7609` `cube-neg_binary64_7607` `rem-3cbrt-rft_binary64_7606` `rem-cbrt-cube_binary64_7604` `sqr-abs_binary64_7595` `sqr-neg_binary64_7594` `rem-square-sqrt_binary64_7592` `div-sub_binary64_7585` `remove-double-neg_binary64_7568` `sub0-neg_binary64_7567` `--rgt-identity_binary64_7566` `+-rgt-identity_binary64_7565` `+-lft-identity_binary64_7564` `mul0-rgt_binary64_7563` `mul0-lft_binary64_7562` `div0_binary64_7561` `*-inverses_binary64_7560` `+-inverses_binary64_7559` `lft-mult-inverse_binary64_7558` `rgt-mult-inverse_binary64_7557` `remove-double-div_binary64_7556` `difference-of-sqr--1_binary64_7551` `difference-of-sqr-1_binary64_7550` `difference-of-squares_binary64_7549` `cancel-sign-sub_binary64_7545` `distribute-neg-frac_binary64_7544` `distribute-frac-neg_binary64_7543` `distribute-neg-out_binary64_7542` `distribute-neg-in_binary64_7541` `distribute-lft1-in_binary64_7535` `distribute-rgt-out--_binary64_7534` `distribute-lft-out--_binary64_7532` `associate--r-_binary64_7519` `associate--l-_binary64_7518` `associate--l+_binary64_7517` `associate--r+_binary64_7516` `associate-+r-_binary64_7514`

Counts

69 → 31

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	72	630
1	139	591
2	293	591
3	702	591
4	2023	591
5	4495	583
6	4915	583
7	4896	583

prune41.0ms (0.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	31	7	38

Error

0.0b

Counts

38 → 7

Compiler

Compiled 804 to 291 computations (63.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z))
0.1b	(*.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) x))
3.0b	(-.f64 (.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) x)) (.f64 (.f64 (cos.f64 y) z) (.f64 (cos.f64 y) z)))
23.9b	(/.f64 (-.f64 (.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) x)) (.f64 (.f64 (cos.f64 y) z) (.f64 (cos.f64 y) z))) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))

rewrite237.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

50×	`pow1_binary64_7641`
31×	`*-un-lft-identity_binary64_7580`
20×	`add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616`
19×	`add-sqr-sqrt_binary64_7602`
18×	`pow-prod-down_binary64_7651`
17×	`add-cube-cbrt_binary64_7615`
12×	`times-frac_binary64_7586`
9×	`prod-exp_binary64_7629` `cbrt-unprod_binary64_7613`
7×	`swap-sqr_binary64_7547`
6×	`add-log-exp_binary64_7619` `flip3-+_binary64_7583` `flip-+_binary64_7554` `distribute-lft-out_binary64_7531`
5×	`difference-of-squares_binary64_7549` `pow-prod-up_binary64_7650` `pow-sqr_binary64_7553` `associate-l_binary64_7521` `associate-r_binary64_7520`
4×	`associate-/l*_binary64_7525` `frac-times_binary64_7590`
3×	`flip3--_binary64_7584` `flip--_binary64_7555` `associate-/r*_binary64_7524` `pow-plus_binary64_7643`
2×	`associate-/l/_binary64_7527` `associate-/r/_binary64_7526` `distribute-rgt-in_binary64_7530` `associate--l+_binary64_7517` `distribute-lft-in_binary64_7529` `pow2_binary64_7661` `associate-l/_binary64_7523` `associate-r/_binary64_7522` `*-commutative_binary64_7511`
1×	`div-exp_binary64_7631` `cbrt-undiv_binary64_7614` `frac-2neg_binary64_7591` `div-sub_binary64_7585` `clear-num_binary64_7579` `div-inv_binary64_7577` `diff-log_binary64_7672` `sub-neg_binary64_7573` `cancel-sign-sub-inv_binary64_7546` `unswap-sqr_binary64_7548`

Counts

4 → 125

Calls

4 calls:

21.0ms	(/.f64 (-.f64 (.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) x)) (.f64 (.f64 (cos.f64 y) z) (.f64 (cos.f64 y) z))) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
13.0ms	(-.f64 (.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) x)) (.f64 (.f64 (cos.f64 y) z) (.f64 (cos.f64 y) z)))
11.0ms	(*.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) x))
8.0ms	(.f64 (.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z))

Compiler

Compiled 5258 to 562 computations (89.3% saved)

series2.3s (27.8%)

Error

Counts

4 → 58

Calls

4 calls:

1.1s	(/.f64 (-.f64 (.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) x)) (.f64 (.f64 (cos.f64 y) z) (.f64 (cos.f64 y) z))) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
749.0ms	(-.f64 (.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) x)) (.f64 (.f64 (cos.f64 y) z) (.f64 (cos.f64 y) z)))
169.0ms	(*.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) x))
166.0ms	(.f64 (.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z))

Compiler

Compiled 4702 to 2543 computations (45.9% saved)

simplify175.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

381×	`cancel-sign-sub-inv_binary64_7546`
284×	`unswap-sqr_binary64_7548`
262×	`associate-l_binary64_7521`
245×	`associate-r_binary64_7520`
183×	`associate-/l*_binary64_7525`
159×	`div-sub_binary64_7585`
133×	`sub-neg_binary64_7573`
128×	`distribute-rgt-in_binary64_7530`
125×	`distribute-lft-in_binary64_7529`
122×	`*-commutative_binary64_7511`
106×	`+-commutative_binary64_7510`
104×	`times-frac_binary64_7586`
81×	`associate-+r+_binary64_7512`
74×	`sqr-pow_binary64_7552`
73×	`associate-/r*_binary64_7524`
72×	`exp-prod_binary64_7632`
69×	`associate-+l+_binary64_7513`
63×	`log-prod_binary64_7666`
62×	`swap-sqr_binary64_7547`
55×	`neg-sub0_binary64_7575`
54×	`neg-mul-1_binary64_7576`
46×	`associate--l+_binary64_7517`
32×	`associate-/r/_binary64_7526`
31×	`exp-sum_binary64_7626` `cube-prod_binary64_7608`
29×	`distribute-rgt-neg-in_binary64_7538`
28×	`difference-of-squares_binary64_7549`
24×	`associate-*l/_binary64_7523`
23×	`distribute-lft-neg-in_binary64_7537`
22×	`log-div_binary64_7667` `associate-*r/_binary64_7522`
21×	`unsub-neg_binary64_7574` `associate--r+_binary64_7516`
19×	`associate-/l/_binary64_7527`
18×	`/-rgt-identity_binary64_7571`
15×	`*-rgt-identity_binary64_7570`
13×	`unpow3_binary64_7646` `pow-sqr_binary64_7553`
12×	`log-pow_binary64_7669` `pow-plus_binary64_7643` `*-lft-identity_binary64_7569`
11×	`cube-div_binary64_7609` `distribute-neg-in_binary64_7541`
10×	`cube-mult_binary64_7610`
8×	`unpow2_binary64_7645` `unpow1/2_binary64_7644` `unpow1_binary64_7638` `cube-unmult_binary64_7617` `associate-+r-_binary64_7514`
7×	`log-rec_binary64_7668` `+-rgt-identity_binary64_7565` `distribute-lft-neg-out_binary64_7539`
6×	`distribute-rgt-out_binary64_7533`
5×	`*-inverses_binary64_7560`
4×	`exp-diff_binary64_7628`
3×	`rem-sqrt-square_binary64_7593` `count-2_binary64_7528`
2×	`remove-double-neg_binary64_7568` `associate--r-_binary64_7519`
1×	`div-exp_binary64_7631` `1-exp_binary64_7624` `exp-1-e_binary64_7623` `rem-3cbrt-rft_binary64_7606` `rem-3cbrt-lft_binary64_7605` `rem-square-sqrt_binary64_7592` `mul-1-neg_binary64_7572` `distribute-neg-frac_binary64_7544` `distribute-rgt-out--_binary64_7534` `associate-+l-_binary64_7515`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_7843` `erf-erfc_binary64_7842` `erf-odd_binary64_7841` `if-if-and-not_binary64_7840` `if-if-and_binary64_7839` `if-if-or-not_binary64_7838` `if-if-or_binary64_7837` `if-not_binary64_7836` `if-same_binary64_7835` `if-false_binary64_7834` `if-true_binary64_7833` `not-gte_binary64_7832` `not-lte_binary64_7831` `not-gt_binary64_7830` `not-lt_binary64_7829` `gte-same_binary64_7828` `lte-same_binary64_7827` `gt-same_binary64_7826` `lt-same_binary64_7825` `sinh---cosh_binary64_7772` `sinh-+-cosh_binary64_7771` `sinh-cosh_binary64_7770` `tanh-def-c_binary64_7769` `tanh-def-b_binary64_7768` `tanh-def-a_binary64_7767` `cosh-def_binary64_7766` `sinh-def_binary64_7765` `tan-neg_binary64_7712` `cos-neg_binary64_7711` `sin-neg_binary64_7710` `tan-0_binary64_7709` `cos-0_binary64_7708` `sin-0_binary64_7707` `hang-m-tan_binary64_7706` `hang-p-tan_binary64_7705` `hang-m0-tan_binary64_7704` `hang-p0-tan_binary64_7703` `hang-0m-tan_binary64_7702` `hang-0p-tan_binary64_7701` `tan-+PI/2_binary64_7700` `tan-+PI_binary64_7699` `tan-PI_binary64_7698` `tan-PI/3_binary64_7697` `tan-PI/4_binary64_7696` `tan-PI/6_binary64_7695` `cos-+PI/2_binary64_7694` `cos-+PI_binary64_7693` `cos-PI_binary64_7692` `cos-PI/2_binary64_7691` `cos-PI/3_binary64_7690` `cos-PI/4_binary64_7689` `cos-PI/6_binary64_7688` `sin-+PI/2_binary64_7687` `sin-+PI_binary64_7686` `sin-PI_binary64_7685` `sin-PI/2_binary64_7684` `sin-PI/3_binary64_7683` `sin-PI/4_binary64_7682` `sin-PI/6_binary64_7681` `sub-1-sin_binary64_7680` `sub-1-cos_binary64_7679` `-1-add-sin_binary64_7678` `-1-add-cos_binary64_7677` `1-sub-sin_binary64_7676` `1-sub-cos_binary64_7675` `cos-sin-sum_binary64_7674` `log-E_binary64_7670` `pow-base-0_binary64_7664` `unpow1/3_binary64_7647` `exp-to-pow_binary64_7642` `pow-base-1_binary64_7640` `unpow0_binary64_7639` `unpow-1_binary64_7637` `exp-lft-cube_binary64_7636` `exp-lft-sqr_binary64_7635` `exp-cbrt_binary64_7634` `exp-sqrt_binary64_7633` `rec-exp_binary64_7630` `prod-exp_binary64_7629` `exp-neg_binary64_7627` `e-exp-1_binary64_7625` `exp-0_binary64_7622` `rem-log-exp_binary64_7621` `rem-exp-log_binary64_7620` `cube-neg_binary64_7607` `rem-cbrt-cube_binary64_7604` `rem-cube-cbrt_binary64_7603` `sqr-abs_binary64_7595` `sqr-neg_binary64_7594` `sub0-neg_binary64_7567` `--rgt-identity_binary64_7566` `+-lft-identity_binary64_7564` `mul0-rgt_binary64_7563` `mul0-lft_binary64_7562` `div0_binary64_7561` `+-inverses_binary64_7559` `lft-mult-inverse_binary64_7558` `rgt-mult-inverse_binary64_7557` `remove-double-div_binary64_7556` `difference-of-sqr--1_binary64_7551` `difference-of-sqr-1_binary64_7550` `cancel-sign-sub_binary64_7545` `distribute-frac-neg_binary64_7543` `distribute-neg-out_binary64_7542` `distribute-rgt-neg-out_binary64_7540` `distribute-rgt1-in_binary64_7536` `distribute-lft1-in_binary64_7535` `distribute-lft-out--_binary64_7532` `distribute-lft-out_binary64_7531` `associate--l-_binary64_7518`

Counts

183 → 166

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	5105
1	799	4444
2	3282	4421
3	4967	4421
4	4995	4421

prune203.0ms (2.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	1	2	3
Picked	1	0	1
Done	1	2	3
Total	167	6	173

Error

Counts

173 → 6

Compiler

Compiled 5344 to 1238 computations (76.8% saved)

regimes477.0ms (5.8%)

Accuracy

Total 0.0b remaining (90.2%)

Threshold costs 0.0b (90.2%)

Compiler

Compiled 4600 to 2914 computations (36.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64_7510`
1×	`*-commutative_binary64_7511`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_7840` `if-if-and_binary64_7839` `if-if-or-not_binary64_7838` `if-if-or_binary64_7837` `if-not_binary64_7836` `if-same_binary64_7835` `if-false_binary64_7834` `if-true_binary64_7833` `tan-0_binary64_7709` `cos-0_binary64_7708` `sin-0_binary64_7707` `unpow1_binary64_7638` `e-exp-1_binary64_7625` `1-exp_binary64_7624` `exp-1-e_binary64_7623` `exp-0_binary64_7622` `sqr-abs_binary64_7595` `sqr-neg_binary64_7594` `neg-mul-1_binary64_7576` `neg-sub0_binary64_7575` `unsub-neg_binary64_7574` `sub-neg_binary64_7573` `mul-1-neg_binary64_7572` `/-rgt-identity_binary64_7571` `-rgt-identity_binary64_7570` `-lft-identity_binary64_7569` `remove-double-neg_binary64_7568` `sub0-neg_binary64_7567` `--rgt-identity_binary64_7566` `+-rgt-identity_binary64_7565` `+-lft-identity_binary64_7564` `cancel-sign-sub-inv_binary64_7546` `cancel-sign-sub_binary64_7545` `distribute-neg-frac_binary64_7544` `distribute-frac-neg_binary64_7543` `distribute-neg-out_binary64_7542` `distribute-neg-in_binary64_7541` `distribute-rgt-neg-out_binary64_7540` `distribute-lft-neg-out_binary64_7539` `distribute-rgt-neg-in_binary64_7538` `distribute-lft-neg-in_binary64_7537`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	12	14
2	12	14

end0.0ms (0%)

sample2.2s (26.2%)

Algorithm

1×

intervals

Results

371.0ms	5754×	body	128	valid
337.0ms	1257×	body	1024	valid
136.0ms	679×	body	512	valid
40.0ms	308×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 1163 to 740 computations (36.4% saved)

Details

analyze494.0ms (6%)

sample40.0ms (0.5%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite45.0ms (0.5%)

series370.0ms (4.5%)

simplify122.0ms (1.5%)

prune36.0ms (0.4%)

localize12.0ms (0.1%)

rewrite87.0ms (1.1%)

series473.0ms (5.7%)

simplify102.0ms (1.2%)

prune59.0ms (0.7%)

localize15.0ms (0.2%)

rewrite82.0ms (1%)

series580.0ms (7%)

simplify101.0ms (1.2%)

prune41.0ms (0.5%)

localize14.0ms (0.2%)

rewrite237.0ms (2.9%)

series2.3s (27.8%)

simplify175.0ms (2.1%)

prune203.0ms (2.5%)

regimes477.0ms (5.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (26.2%)

Profiling