Details

analyze2.0s (16%)

Algorithm

1×	search
2×	egg-herbie

Rules

44×	`*-commutative_binary64`
24×	`associate-l_binary64` `associate-r_binary64`
4×	`associate-/l/_binary64` `associate-/r*_binary64` `+-commutative_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	184
1	101	184
2	161	184
3	161	184
4	161	184
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
0%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
16.4%	83.5%	0.1%	9
24.6%	75.3%	0.1%	10
28.7%	71.2%	0.1%	11
30.7%	69.1%	0.1%	12
35.8%	64%	0.1%	13
38.4%	61.5%	0.1%	14

Compiler

Compiled 29 to 18 computations (37.9% saved)

sample121.0ms (1%)

Algorithm

1×

intervals

Results

60.0ms	62×	body	1024	valid
27.0ms	152×	body	128	valid
15.0ms	28×	body	512	valid
5.0ms	14×	body	256	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
6×	`associate-l_binary64` `associate-r_binary64`
1×	`associate-/l/_binary64` `associate-/r*_binary64` `+-commutative_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	29	46
2	44	46
3	44	46
4	44	46

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 28 to 17 computations (39.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
3.6b	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.6b	(/.f64 (/.f64 eh ew) (tan.f64 t))
32.7b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite291.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64`
89×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
26×	`associate-/l*_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`div-inv_binary64`
9×	`pow1_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/r*_binary64`
4×	`add-log-exp_binary64`
3×	`cos-atan_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `tan-quot_binary64` `associate-/r/_binary64`
1×	`un-div-inv_binary64` `associate-r/_binary64` `associate-l_binary64` `-commutative_binary64`

Counts

4 → 170

Calls

4 calls:

6.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
6.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
6.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 6344 to 1240 computations (80.5% saved)

series251.0ms (2%)

Error

0.1b

Counts

4 → 39

Calls

4 calls:

71.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
69.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
59.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
39.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 2603 to 1659 computations (36.3% saved)

simplify454.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

390×	`associate-/l/_binary64`
360×	`*-commutative_binary64`
347×	`sub-neg_binary64`
320×	`div-sub_binary64`
298×	`associate-/r*_binary64`
274×	`times-frac_binary64`
251×	`associate-/l*_binary64`
170×	`sqr-pow_binary64`
155×	`associate--l-_binary64`
145×	`associate-+l+_binary64`
142×	`associate--l+_binary64`
134×	`associate-/r/_binary64`
133×	`distribute-rgt-neg-in_binary64`
132×	`associate-l_binary64`
126×	`associate-+l-_binary64`
124×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-in_binary64`
119×	`associate-*l/_binary64`
105×	`unsub-neg_binary64`
98×	`associate-r_binary64`
90×	`associate-*r/_binary64`
81×	`unswap-sqr_binary64`
79×	`neg-mul-1_binary64`
72×	`neg-sub0_binary64` `associate--r+_binary64`
71×	`associate--r-_binary64`
63×	`associate-+r+_binary64`
60×	`pow-sqr_binary64`
57×	`*-rgt-identity_binary64`
50×	`distribute-rgt-in_binary64`
41×	`+-commutative_binary64`
39×	`associate-+r-_binary64`
37×	`swap-sqr_binary64`
36×	`distribute-neg-in_binary64`
35×	`*-lft-identity_binary64`
34×	`log-prod_binary64` `rem-sqrt-square_binary64`
33×	`distribute-lft-in_binary64`
30×	`distribute-neg-frac_binary64`
29×	`/-rgt-identity_binary64`
28×	`exp-prod_binary64` `cube-prod_binary64`
22×	`log-div_binary64`
19×	`sub0-neg_binary64`
18×	`cube-div_binary64`
16×	`distribute-rgt-out--_binary64`
15×	`+-rgt-identity_binary64`
13×	`--rgt-identity_binary64`
12×	`mul0-rgt_binary64` `mul0-lft_binary64`
11×	`distribute-rgt-out_binary64`
9×	`cube-unmult_binary64` `remove-double-neg_binary64`
7×	`unpow3_binary64` `unpow1/2_binary64` `cube-mult_binary64` `+-lft-identity_binary64` `div0_binary64`
6×	`distribute-neg-out_binary64`
3×	`distribute-rgt1-in_binary64`
2×	`log-rec_binary64` `distribute-lft-neg-out_binary64` `distribute-lft1-in_binary64`
1×	`exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-inverses_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `count-2_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64`

Counts

209 → 117

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	210	4304
1	481	4016
2	1290	4016
3	2736	4016
4	3272	4016
5	4392	4016
6	4683	4016
7	5008	4016

prune122.0ms (1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	4	118

Error

0.1b

Counts

118 → 4

Compiler

Compiled 2903 to 601 computations (79.3% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (/.f64 (.f64 (cbrt.f64 eh) (cbrt.f64 eh)) (*.f64 (cbrt.f64 (tan.f64 t)) (cbrt.f64 (tan.f64 t)))) (/.f64 (/.f64 (cbrt.f64 eh) ew) (cbrt.f64 (tan.f64 t))))
1.2b	(/.f64 (/.f64 (cbrt.f64 eh) ew) (cbrt.f64 (tan.f64 t)))
3.6b	(/.f64 (/.f64 eh ew) (tan.f64 t))
32.7b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite1.1s (8.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

601×	`times-frac_binary64`
348×	`add-sqr-sqrt_binary64`
307×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
262×	`cbrt-prod_binary64`
137×	`associate-r_binary64`
83×	`add-exp-log_binary64`
41×	`add-cbrt-cube_binary64`
35×	`associate-/l*_binary64`
33×	`div-exp_binary64` `cbrt-undiv_binary64`
27×	`prod-exp_binary64` `cbrt-unprod_binary64`
21×	`div-inv_binary64`
14×	`unswap-sqr_binary64`
9×	`associate-/r*_binary64`
8×	`associate-l_binary64`
7×	`tan-quot_binary64`
6×	`pow1_binary64` `associate-/r/_binary64` `cbrt-div_binary64`
4×	`add-log-exp_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`cos-atan_binary64` `pow-prod-down_binary64` `*-commutative_binary64`

Counts

4 → 456

Calls

4 calls:

59.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 eh) (cbrt.f64 eh)) (*.f64 (cbrt.f64 (tan.f64 t)) (cbrt.f64 (tan.f64 t)))) (/.f64 (/.f64 (cbrt.f64 eh) ew) (cbrt.f64 (tan.f64 t))))
11.0ms	(/.f64 (/.f64 (cbrt.f64 eh) ew) (cbrt.f64 (tan.f64 t)))
6.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 26053 to 4201 computations (83.9% saved)

series348.0ms (2.8%)

Error

0.1b

Counts

4 → 39

Calls

4 calls:

131.0ms	(/.f64 (/.f64 (cbrt.f64 eh) ew) (cbrt.f64 (tan.f64 t)))
79.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 eh) (cbrt.f64 eh)) (*.f64 (cbrt.f64 (tan.f64 t)) (cbrt.f64 (tan.f64 t)))) (/.f64 (/.f64 (cbrt.f64 eh) ew) (cbrt.f64 (tan.f64 t))))
74.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
40.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 3940 to 2236 computations (43.2% saved)

simplify293.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

675×	`associate-l_binary64`
620×	`associate-/l*_binary64`
515×	`associate-/r*_binary64`
364×	`times-frac_binary64`
200×	`associate-/l/_binary64`
184×	`*-commutative_binary64`
168×	`associate-*r/_binary64`
157×	`associate-*l/_binary64`
121×	`associate-/r/_binary64`
40×	`/-rgt-identity_binary64`
30×	`sub-neg_binary64`
27×	`unswap-sqr_binary64`
24×	`log-div_binary64`
17×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`
14×	`cube-unmult_binary64`
13×	`exp-prod_binary64`
12×	`associate-+l-_binary64`
11×	`sqr-pow_binary64` `distribute-neg-frac_binary64` `associate-r_binary64`
10×	`*-rgt-identity_binary64`
8×	`log-prod_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
5×	`distribute-rgt-in_binary64`
4×	`*-lft-identity_binary64` `swap-sqr_binary64` `distribute-lft-in_binary64` `+-commutative_binary64`
3×	`associate-+r-_binary64`
2×	`exp-sum_binary64` `rem-3cbrt-lft_binary64` `mul-1-neg_binary64` `count-2_binary64` `associate--l-_binary64`
1×	`log-rec_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `cube-mult_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `distribute-neg-in_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64` `associate--r+_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `unsub-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

495 → 256

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	686	16746
1	1918	15249
2	5243	15249

prune362.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	256	4	260

Error

0.1b

Counts

260 → 4

Compiler

Compiled 9879 to 1651 computations (83.3% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(/.f64 eh (*.f64 ew (tan.f64 t)))
1.6b	(.f64 ew (.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) (sin.f64 t)))
3.6b	(/.f64 (/.f64 eh ew) (tan.f64 t))
32.7b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite233.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

78×	`times-frac_binary64`
49×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
9×	`pow1_binary64`
6×	`div-inv_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64`
4×	`add-log-exp_binary64` `associate-/r*_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
3×	`pow-prod-down_binary64` `associate-l_binary64`
2×	`cos-atan_binary64` `frac-2neg_binary64` `clear-num_binary64` `tan-quot_binary64` `associate-/r/_binary64` `associate-*r/_binary64`
1×	`associate-/l/_binary64` `associate-l/_binary64` `associate-r_binary64` `-commutative_binary64`

Counts

4 → 120

Calls

4 calls:

6.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms	(.f64 ew (.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) (sin.f64 t)))
5.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
1.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 4291 to 960 computations (77.6% saved)

series256.0ms (2.1%)

Error

0.1b

Counts

4 → 39

Calls

4 calls:

70.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
69.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
60.0ms	(.f64 ew (.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) (sin.f64 t)))
39.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 2603 to 1660 computations (36.2% saved)

simplify168.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

525×	`times-frac_binary64`
486×	`associate-/l/_binary64`
419×	`associate-/r*_binary64`
416×	`associate-/l*_binary64`
385×	`*-commutative_binary64`
232×	`div-sub_binary64`
169×	`sub-neg_binary64`
168×	`associate-/r/_binary64`
161×	`associate-*l/_binary64`
159×	`associate--l-_binary64`
146×	`associate--l+_binary64`
139×	`distribute-rgt-neg-in_binary64`
131×	`cancel-sign-sub-inv_binary64`
129×	`associate-r_binary64`
128×	`distribute-lft-neg-in_binary64` `associate-l_binary64`
107×	`sqr-pow_binary64`
103×	`associate-*r/_binary64`
74×	`unswap-sqr_binary64`
72×	`associate--r-_binary64`
65×	`distribute-rgt-in_binary64`
60×	`neg-mul-1_binary64`
56×	`neg-sub0_binary64` `*-rgt-identity_binary64`
44×	`distribute-lft-in_binary64`
42×	`swap-sqr_binary64`
40×	`distribute-neg-in_binary64`
39×	`associate-+l-_binary64`
38×	`log-prod_binary64`
33×	`exp-prod_binary64` `/-rgt-identity_binary64` `distribute-neg-frac_binary64`
32×	`cube-prod_binary64` `*-lft-identity_binary64`
31×	`associate-+l+_binary64`
27×	`+-commutative_binary64`
25×	`rem-sqrt-square_binary64` `unsub-neg_binary64` `pow-sqr_binary64`
22×	`log-div_binary64`
16×	`distribute-rgt-out--_binary64` `associate-+r-_binary64`
15×	`sub0-neg_binary64` `associate-+r+_binary64`
14×	`cube-div_binary64`
13×	`associate--r+_binary64`
11×	`distribute-rgt-out_binary64`
10×	`cube-unmult_binary64` `--rgt-identity_binary64`
9×	`+-rgt-identity_binary64`
8×	`unpow1/2_binary64`
7×	`mul0-rgt_binary64` `mul0-lft_binary64`
6×	`unpow3_binary64`
5×	`cube-mult_binary64`
4×	`remove-double-neg_binary64` `distribute-neg-out_binary64`
3×	`div0_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64`
2×	`log-rec_binary64` `distribute-lft1-in_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `count-2_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64`

Counts

159 → 87

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	236	3131
1	534	2843
2	1447	2843
3	3363	2843
4	3900	2843
5	4704	2843
6	5027	2843

prune89.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Error

0.1b

Counts

91 → 4

Compiler

Compiled 1852 to 443 computations (76.1% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

9.5b	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (*.f64 ew (sin.f64 t))))
32.7b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
32.7b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
32.7b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite74.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

4×	`cos-atan_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
1×	`pow1/3_binary64` `associate-*l/_binary64` `cbrt-div_binary64` `cbrt-prod_binary64`

Counts

4 → 34

Calls

4 calls:

5.0ms	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (*.f64 ew (sin.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 2315 to 233 computations (89.9% saved)

series244.0ms (2%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

118.0ms	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 eh (.f64 ew (tan.f64 t))))) (*.f64 ew (sin.f64 t))))
40.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
39.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
39.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 4703 to 1847 computations (60.7% saved)

simplify146.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

782×	`log-prod_binary64`
477×	`exp-sum_binary64`
396×	`exp-prod_binary64`
246×	`unswap-sqr_binary64`
217×	`log-pow_binary64`
212×	`associate-/l/_binary64`
190×	`div-sub_binary64`
186×	`exp-diff_binary64`
147×	`sub-neg_binary64`
137×	`associate-l_binary64`
120×	`associate-/l*_binary64`
109×	`associate-r_binary64`
108×	`distribute-rgt-in_binary64`
107×	`unsub-neg_binary64`
106×	`associate-+r+_binary64`
101×	`exp-to-pow_binary64`
94×	`distribute-lft-in_binary64`
92×	`sqr-pow_binary64`
90×	`times-frac_binary64`
86×	`associate-/r*_binary64`
82×	`associate-+l+_binary64`
80×	`associate-/r/_binary64`
79×	`distribute-neg-in_binary64`
74×	`prod-exp_binary64`
71×	`associate--r+_binary64`
66×	`*-commutative_binary64`
62×	`cancel-sign-sub-inv_binary64`
57×	`log-div_binary64`
49×	`associate--r-_binary64`
46×	`associate-+r-_binary64`
37×	`+-commutative_binary64`
34×	`unpow1/3_binary64`
31×	`pow-sqr_binary64` `distribute-rgt-out_binary64` `associate-+l-_binary64`
30×	`associate--l+_binary64`
29×	`associate-*l/_binary64`
28×	`*-lft-identity_binary64`
27×	`cube-prod_binary64`
24×	`pow-plus_binary64`
23×	`distribute-rgt-neg-out_binary64`
22×	`neg-mul-1_binary64` `*-rgt-identity_binary64`
20×	`unpow3_binary64`
19×	`neg-sub0_binary64` `sub0-neg_binary64`
16×	`distribute-lft-neg-out_binary64`
15×	`log-rec_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64`
14×	`associate--l-_binary64`
11×	`rem-exp-log_binary64` `--rgt-identity_binary64` `count-2_binary64`
8×	`cube-unmult_binary64` `distribute-neg-out_binary64`
7×	`exp-lft-cube_binary64` `distribute-rgt-neg-in_binary64`
6×	`/-rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-frac-neg_binary64`
5×	`exp-neg_binary64` `distribute-rgt1-in_binary64`
4×	`div-exp_binary64` `distribute-neg-frac_binary64`
3×	`pow-base-1_binary64` `rec-exp_binary64` `rem-sqrt-square_binary64` `distribute-lft-neg-in_binary64`
2×	`exp-lft-sqr_binary64` `exp-sqrt_binary64` `remove-double-neg_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64`
1×	`log-E_binary64` `unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `distribute-lft-out--_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `pow-base-0_binary64` `unpow2_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64`

Counts

70 → 18

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	1359
1	123	1278
2	245	1274
3	659	1264
4	1999	1264
5	4027	1264
6	4669	1264
7	4805	1264
8	4837	1264

prune20.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	18	4	22

Error

0.1b

Counts

22 → 4

Compiler

Compiled 725 to 97 computations (86.6% saved)

regimes1.7s (13.9%)

Accuracy

Total 0.0b remaining (17.5%)

Threshold costs 0.0b (17.5%)

Compiler

Compiled 31353 to 20163 computations (35.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`+-commutative_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	62
1	30	62
2	30	62

end1.0ms (0%)

Compiler: Compiled 37 to 23 computations (37.8% saved)

sample4.0s (32.2%)

Algorithm

1×

intervals

Results

1.8s	2010×	body	1024	valid
848.0ms	4553×	body	128	valid
568.0ms	975×	body	512	valid
185.0ms	456×	body	256	valid
9.0ms	6×	body	2048	valid

Compiler

Compiled 292 to 150 computations (48.6% saved)

Details

analyze2.0s (16%)

sample121.0ms (1%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize21.0ms (0.2%)

rewrite291.0ms (2.3%)

series251.0ms (2%)

simplify454.0ms (3.6%)

prune122.0ms (1%)

localize37.0ms (0.3%)

rewrite1.1s (8.8%)

series348.0ms (2.8%)

simplify293.0ms (2.4%)

prune362.0ms (2.9%)

localize27.0ms (0.2%)

rewrite233.0ms (1.9%)

series256.0ms (2.1%)

simplify168.0ms (1.3%)

prune89.0ms (0.7%)

localize38.0ms (0.3%)

rewrite74.0ms (0.6%)

series244.0ms (2%)

simplify146.0ms (1.2%)

prune20.0ms (0.2%)

regimes1.7s (13.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample4.0s (32.2%)

Profiling