Details

analyze2.1s (12.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

506×	`times-frac_binary64`
396×	`cancel-sign-sub-inv_binary64`
336×	`associate-/r*_binary64`
265×	`swap-sqr_binary64`
250×	`associate-l/_binary64` `associate-r/_binary64`
203×	`associate-/l*_binary64`
167×	`*-commutative_binary64`
160×	`associate-l_binary64`
149×	`associate-r_binary64`
137×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
103×	`sub-neg_binary64`
61×	`+-commutative_binary64`
31×	`difference-of-squares_binary64`
30×	`+-rgt-identity_binary64` `associate-+r-_binary64`
15×	`sub0-neg_binary64` `associate-/r/_binary64` `associate-+l-_binary64`
12×	`neg-mul-1_binary64` `neg-sub0_binary64`
6×	`distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_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` `unswap-sqr_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-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` `count-2_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	1248
1	676	1248
2	3644	1248
3	4467	1248
4	5624	1248
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	98.1%	1.9%	13
0%	98.1%	1.9%	14

Compiler

Compiled 53 to 22 computations (58.5% saved)

sample179.0ms (1.1%)

Algorithm

1×

intervals

Results

38.0ms	405×	body	128	nan
36.0ms	70×	body	4096	valid
17.0ms	43×	body	2048	valid
17.0ms	27×	body	8192	valid
11.0ms	141×	body	128	invalid
6.0ms	80×	body	128	valid
6.0ms	20×	body	1024	valid
3.0ms	13×	body	512	valid
1.0ms	3×	body	2048	invalid
1.0ms	1×	body	8192	exit
0.0ms	3×	body	256	valid
0.0ms	2×	body	512	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

599×	`times-frac_binary64`
518×	`distribute-neg-frac_binary64`
304×	`associate-/l*_binary64`
217×	`cancel-sign-sub-inv_binary64`
190×	`associate-/r*_binary64`
188×	`associate-r_binary64`
187×	`associate-*l/_binary64`
186×	`associate-l_binary64`
162×	`associate-*r/_binary64`
144×	`distribute-neg-in_binary64`
123×	`neg-mul-1_binary64`
122×	`neg-sub0_binary64`
115×	`swap-sqr_binary64`
112×	`associate-/l/_binary64`
55×	`associate-/r/_binary64`
44×	`*-commutative_binary64`
22×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
10×	`unsub-neg_binary64` `sub-neg_binary64`
8×	`+-commutative_binary64`
4×	`unswap-sqr_binary64` `distribute-rgt-out_binary64`
3×	`unpow3_binary64` `cube-unmult_binary64` `sqr-pow_binary64`
2×	`sub0-neg_binary64` `+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-squares_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
1×	`cube-div_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-neg-in_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` `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-mult_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	78
1	63	78
2	290	78
3	3039	69
4	3619	69
5	5019	69

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

60.4b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

17.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
28.1b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

rewrite524.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

60.4b

Rules

211×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
117×	`prod-exp_binary64` `cbrt-unprod_binary64`
45×	`div-exp_binary64` `cbrt-undiv_binary64`
6×	`add-log-exp_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`sqrt-div_binary64` `frac-add_binary64`
1×	`sum-log_binary64` `flip3--_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

4 → 143

Calls

4 calls:

45.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
18.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
12.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10014 to 1186 computations (88.2% saved)

series507.0ms (3%)

Error

35.9b

Counts

4 → 71

Calls

4 calls:

162.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
111.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
109.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
108.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 6232 to 3915 computations (37.2% saved)

simplify189.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

553×	`times-frac_binary64`
265×	`associate-l_binary64`
225×	`associate-r_binary64`
214×	`cancel-sign-sub-inv_binary64`
202×	`associate-/r*_binary64`
198×	`associate-/l*_binary64`
181×	`unpow3_binary64`
148×	`swap-sqr_binary64`
146×	`log-div_binary64`
139×	`distribute-rgt-neg-in_binary64`
133×	`distribute-lft-neg-in_binary64`
111×	`cube-prod_binary64` `*-commutative_binary64`
101×	`cube-div_binary64`
98×	`log-prod_binary64`
88×	`distribute-neg-frac_binary64` `associate-*l/_binary64`
78×	`sub-neg_binary64`
68×	`unswap-sqr_binary64` `associate-*r/_binary64`
57×	`distribute-rgt-out_binary64`
52×	`sqr-pow_binary64`
44×	`neg-sub0_binary64` `distribute-rgt-out--_binary64`
42×	`neg-mul-1_binary64`
39×	`distribute-lft-out--_binary64`
32×	`+-commutative_binary64`
26×	`distribute-neg-in_binary64`
23×	`exp-prod_binary64`
17×	`cube-mult_binary64` `distribute-rgt-in_binary64`
16×	`associate--r+_binary64`
15×	`associate--l+_binary64`
13×	`distribute-lft-in_binary64` `associate-/r/_binary64` `associate-+l+_binary64`
12×	`difference-of-squares_binary64`
10×	`distribute-lft-neg-out_binary64`
9×	`cube-unmult_binary64` `associate-+r+_binary64`
8×	`pow-plus_binary64` `unsub-neg_binary64`
7×	`pow-sqr_binary64`
5×	`distribute-rgt-neg-out_binary64` `associate-/l/_binary64`
4×	`log-pow_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-sub_binary64` `associate-+r-_binary64`
2×	`mul-1-neg_binary64` `cancel-sign-sub_binary64` `count-2_binary64` `associate-+l-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `+-inverses_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_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-rec_binary64` `pow-base-0_binary64` `unpow1/3_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` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64`

Counts

214 → 202

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	5808
1	478	5324
2	2892	5243
3	4820	5195
4	5046	5195

prune97.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	195	7	202
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	196	8	204

Error

36.2b

Counts

204 → 8

Compiler

Compiled 3048 to 790 computations (74.1% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.5b	(.f64 (.f64 d d) c0)
11.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
11.7b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
15.8b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite764.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

29.4b

Rules

917×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
623×	`prod-exp_binary64` `cbrt-unprod_binary64`
166×	`div-exp_binary64` `cbrt-undiv_binary64`
46×	`pow1_binary64`
30×	`pow-prod-down_binary64`
9×	`associate-l_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `times-frac_binary64`
3×	`-commutative_binary64` `associate-r/_binary64`
2×	`div-inv_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `associate-/r_binary64` `frac-times_binary64` `associate-*l/_binary64` `unswap-sqr_binary64`

Counts

4 → 315

Calls

4 calls:

29.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
18.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
15.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
6.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 14850 to 3445 computations (76.8% saved)

series370.0ms (2.2%)

Error

30.4b

Counts

4 → 54

Calls

4 calls:

154.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
124.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
64.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
19.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 2430 to 2285 computations (6% saved)

simplify322.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

894×	`times-frac_binary64`
535×	`associate-l_binary64`
373×	`associate-/r*_binary64`
365×	`associate-*r/_binary64`
351×	`associate-/l*_binary64`
305×	`associate-*l/_binary64`
166×	`*-commutative_binary64`
145×	`associate-r_binary64`
130×	`log-div_binary64`
64×	`associate-+r+_binary64`
58×	`associate-+l-_binary64`
39×	`sub-neg_binary64`
31×	`+-commutative_binary64`
29×	`swap-sqr_binary64`
27×	`associate-+r-_binary64`
26×	`log-prod_binary64`
19×	`exp-prod_binary64` `associate-/r/_binary64`
16×	`distribute-rgt-neg-in_binary64` `associate--l+_binary64`
15×	`cube-unmult_binary64` `unswap-sqr_binary64` `distribute-lft-neg-in_binary64`
12×	`associate--r+_binary64`
9×	`sqr-pow_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64` `cancel-sign-sub-inv_binary64`
6×	`associate-+l+_binary64`
5×	`distribute-neg-in_binary64`
3×	`log-pow_binary64` `unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `pow-sqr_binary64` `count-2_binary64`
2×	`*-rgt-identity_binary64` `associate-/l/_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `*-lft-identity_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow1/2_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` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_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` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

369 → 354

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	472	18972
1	760	12573
2	4917	12573
3	5118	12573

prune147.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	349	5	354
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	351	11	362

Error

28.7b

Counts

362 → 11

Compiler

Compiled 2743 to 1155 computations (57.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

7.4b	(.f64 (.f64 D D) h)
14.0b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
14.4b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))

rewrite178.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

22.9b

Rules

94×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
55×	`prod-exp_binary64` `cbrt-unprod_binary64`
29×	`pow1_binary64`
18×	`pow-prod-down_binary64`
14×	`div-exp_binary64` `cbrt-undiv_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
3×	`add-log-exp_binary64`
2×	`associate-l_binary64` `*-commutative_binary64`
1×	`frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64` `unswap-sqr_binary64`

Counts

3 → 88

Calls

3 calls:

13.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
10.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
5.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2086 to 424 computations (79.7% saved)

series134.0ms (0.8%)

Error

28.7b

Counts

3 → 27

Calls

3 calls:

71.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
38.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
17.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 855 to 911 computations (-6.5% saved)

simplify125.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

588×	`associate-*l/_binary64`
485×	`associate-*r/_binary64`
467×	`*-commutative_binary64`
295×	`times-frac_binary64`
238×	`associate-/l/_binary64`
212×	`associate-/r/_binary64`
190×	`associate-l_binary64`
183×	`log-prod_binary64`
158×	`associate-r_binary64`
142×	`associate-/l*_binary64`
133×	`log-div_binary64`
130×	`exp-prod_binary64`
124×	`cube-prod_binary64`
104×	`associate-/r*_binary64`
86×	`unpow3_binary64`
78×	`cube-div_binary64`
72×	`unswap-sqr_binary64`
66×	`associate-+l+_binary64`
57×	`associate--l+_binary64`
50×	`distribute-rgt-neg-in_binary64`
49×	`associate-+r+_binary64`
44×	`distribute-lft-neg-in_binary64`
43×	`+-commutative_binary64`
42×	`swap-sqr_binary64`
33×	`sqr-pow_binary64`
31×	`sub-neg_binary64`
25×	`cube-mult_binary64`
24×	`cancel-sign-sub-inv_binary64`
14×	`neg-mul-1_binary64` `neg-sub0_binary64`
13×	`associate--r+_binary64`
10×	`cube-unmult_binary64`
9×	`log-pow_binary64` `pow-plus_binary64`
8×	`*-rgt-identity_binary64` `pow-sqr_binary64`
7×	`*-lft-identity_binary64`
5×	`log-rec_binary64` `associate-+r-_binary64`
4×	`unpow1/2_binary64` `unsub-neg_binary64` `associate-+l-_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `/-rgt-identity_binary64` `distribute-lft-neg-out_binary64` `count-2_binary64`
2×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64` `distribute-rgt-in_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` `pow-base-0_binary64` `unpow1/3_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` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

115 → 80

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	2649
1	282	1830
2	1424	1830
3	4467	1808
4	4940	1808
5	5061	1808

prune30.0ms (0.2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	76	15	91

Error

25.1b

Counts

91 → 15

Compiler

Compiled 506 to 324 computations (36% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.7b	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
5.8b	(/.f64 (.f64 (.f64 D D) h) d)
7.4b	(.f64 (.f64 D D) h)
13.4b	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))

rewrite265.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

21.3b

Rules

92×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
42×	`prod-exp_binary64` `cbrt-unprod_binary64`
24×	`div-exp_binary64` `cbrt-undiv_binary64`
14×	`pow1_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`associate-r_binary64`
9×	`times-frac_binary64`
6×	`pow-prod-down_binary64` `associate-/r*_binary64`
4×	`add-log-exp_binary64`
3×	`div-inv_binary64`
2×	`unswap-sqr_binary64` `associate-r/_binary64` `associate-l_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64`
1×	`associate-/l/_binary64`

Counts

4 → 114

Calls

4 calls:

17.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
12.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
7.0ms	(/.f64 (.f64 (.f64 D D) h) d)
7.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2691 to 634 computations (76.4% saved)

series190.0ms (1.1%)

Error

25.1b

Counts

4 → 39

Calls

4 calls:

72.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
61.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
34.0ms	(/.f64 (.f64 (.f64 D D) h) d)
16.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1215 to 1278 computations (-5.2% saved)

simplify169.0ms (1%)

Algorithm

1×	egg-herbie

Rules

503×	`*-commutative_binary64`
274×	`unswap-sqr_binary64`
231×	`associate-/l*_binary64`
226×	`associate--r-_binary64`
222×	`sub-neg_binary64`
218×	`associate-l_binary64`
209×	`log-prod_binary64`
160×	`times-frac_binary64`
148×	`log-div_binary64`
146×	`associate-r_binary64`
131×	`sqr-pow_binary64`
129×	`cube-div_binary64`
128×	`associate-*r/_binary64`
116×	`associate-*l/_binary64`
113×	`cube-prod_binary64`
89×	`distribute-rgt-neg-in_binary64`
87×	`associate-/l/_binary64`
80×	`distribute-lft-neg-in_binary64`
77×	`associate--l+_binary64`
75×	`associate-+l+_binary64`
65×	`associate-/r*_binary64`
64×	`unpow3_binary64`
63×	`cancel-sign-sub-inv_binary64`
61×	`distribute-neg-frac_binary64`
60×	`exp-prod_binary64`
57×	`cube-mult_binary64`
55×	`associate-/r/_binary64`
54×	`associate-+l-_binary64`
53×	`associate-+r+_binary64`
48×	`unsub-neg_binary64`
45×	`neg-mul-1_binary64`
44×	`neg-sub0_binary64` `swap-sqr_binary64` `associate-+r-_binary64` `+-commutative_binary64`
38×	`distribute-neg-in_binary64` `associate--l-_binary64`
34×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
32×	`div-sub_binary64`
28×	`*-rgt-identity_binary64`
22×	`*-lft-identity_binary64` `distribute-neg-out_binary64`
21×	`pow-sqr_binary64`
19×	`/-rgt-identity_binary64`
18×	`log-rec_binary64`
17×	`pow-plus_binary64`
13×	`log-pow_binary64`
12×	`cube-unmult_binary64`
10×	`+-rgt-identity_binary64`
9×	`unpow1/2_binary64`
7×	`count-2_binary64`
6×	`distribute-lft-out--_binary64`
4×	`remove-double-neg_binary64` `div0_binary64` `distribute-lft-out_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `distribute-lft-neg-out_binary64` `associate--r+_binary64`
2×	`remove-double-div_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `fabs-mul_binary64` `--rgt-identity_binary64` `+-inverses_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` `pow-base-0_binary64` `unpow1/3_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` `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` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

153 → 114

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	159	3216
1	387	2400
2	1856	2400
3	3106	2386
4	4886	2377
5	4989	2377
6	4970	2377

prune62.0ms (0.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	105	9	114
Fresh	3	9	12
Picked	1	0	1
Done	1	1	2
Total	110	19	129

Error

21.7b

Counts

129 → 19

Compiler

Compiled 619 to 200 computations (67.7% saved)

regimes4.3s (25%)

Accuracy

Total 9.2b remaining (32.2%)

Threshold costs 0b (0%)

Compiler

Compiled 61311 to 42355 computations (30.9% saved)

bsearch302.0ms (1.8%)

Steps

Iters	Range		Point
5	3.6387652885948593e-32	7.697535505809688e-32	3.8477647255578e-32
5	1.6051879766412574e-162	4.603578187394483e-162	2.921876147211044e-162
6	3.7654146275492825e-176	4.524607316369214e-175	3.601076346426854e-175
6	-1.8634171346379695e+154	-4.2684985912830474e+153	-1.3535396070238666e+154

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
1×	`1-exp_binary64` `/-rgt-identity_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` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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` `-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` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	134
1	58	134
2	57	134

end2.0ms (0%)

Compiler: Compiled 91 to 46 computations (49.5% saved)

sample6.0s (35.3%)

Algorithm

1×

intervals

Results

1.1s	2132×	body	4096	valid
989.0ms	12043×	body	128	nan
810.0ms	1218×	body	8192	valid
533.0ms	1285×	body	2048	valid
341.0ms	4051×	body	128	invalid
201.0ms	609×	body	1024	valid
190.0ms	2295×	body	128	valid
75.0ms	296×	body	512	valid
29.0ms	165×	body	256	valid
23.0ms	58×	body	2048	invalid
21.0ms	60×	body	1024	invalid
12.0ms	18×	body	4096	invalid
6.0ms	26×	body	512	invalid
4.0ms	24×	body	256	invalid
3.0ms	4×	body	8192	exit

Compiler

Compiled 638 to 440 computations (31% saved)

Details

analyze2.1s (12.2%)

sample179.0ms (1.1%)

simplify44.0ms (0.3%)

prune4.0ms (0%)

localize24.0ms (0.1%)

rewrite524.0ms (3.1%)

series507.0ms (3%)

simplify189.0ms (1.1%)

prune97.0ms (0.6%)

localize17.0ms (0.1%)

rewrite764.0ms (4.5%)

series370.0ms (2.2%)

simplify322.0ms (1.9%)

prune147.0ms (0.9%)

localize9.0ms (0.1%)

rewrite178.0ms (1%)

series134.0ms (0.8%)

simplify125.0ms (0.7%)

prune30.0ms (0.2%)

localize10.0ms (0.1%)

rewrite265.0ms (1.6%)

series190.0ms (1.1%)

simplify169.0ms (1%)

prune62.0ms (0.4%)

regimes4.3s (25%)

bsearch302.0ms (1.8%)

simplify5.0ms (0%)

end2.0ms (0%)

sample6.0s (35.3%)

Profiling