Details

analyze1.9s (11.9%)

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)

sample408.0ms (2.5%)

Algorithm

1×

intervals

Results

267.0ms	81×	body	4096	valid
30.0ms	398×	body	128	nan
21.0ms	33×	body	8192	valid
20.0ms	42×	body	2048	valid
11.0ms	147×	body	128	invalid
9.0ms	73×	body	128	valid
6.0ms	19×	body	1024	valid
1.0ms	4×	body	512	valid
1.0ms	2×	body	2048	invalid
1.0ms	2×	body	1024	invalid
1.0ms	4×	body	256	valid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify46.0ms (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

57.7b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

16.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
30.2b	(+.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))))

rewrite940.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

57.4b

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:

52.0ms	(+.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))))
14.0ms	(/.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)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10014 to 1186 computations (88.2% saved)

series515.0ms (3.2%)

Error

34.7b

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))))
112.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
111.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
111.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 6232 to 3915 computations (37.2% saved)

simplify189.0ms (1.2%)

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

prune105.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	196	6	202
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	197	7	204

Error

34.9b

Counts

204 → 7

Compiler

Compiled 3117 to 803 computations (74.2% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.6b	(.f64 (.f64 D D) h)
14.1b	(.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))))
14.4b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
16.2b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite811.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

25.0b

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:

36.0ms	(.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))))
19.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
13.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 14850 to 3482 computations (76.6% saved)

series372.0ms (2.3%)

Error

27.2b

Counts

4 → 54

Calls

4 calls:

153.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
129.0ms	(.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)))
18.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2430 to 2283 computations (6% saved)

simplify325.0ms (2%)

Algorithm

1×	egg-herbie

Rules

841×	`times-frac_binary64`
533×	`associate-l_binary64`
365×	`associate-*r/_binary64`
363×	`associate-/r*_binary64`
337×	`associate-/l*_binary64`
305×	`associate-*l/_binary64`
166×	`*-commutative_binary64`
145×	`associate-r_binary64`
121×	`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×	`associate--l+_binary64`
15×	`cube-unmult_binary64` `unswap-sqr_binary64`
14×	`distribute-rgt-neg-in_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×	`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` `log-rec_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 → 347

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	473	18972
1	762	12573
2	4831	12573
3	5016	12573

prune147.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	341	6	347
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	342	12	354

Error

24.9b

Counts

354 → 12

Compiler

Compiled 2710 to 1175 computations (56.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.6b	(.f64 (.f64 D D) h)
15.8b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
16.2b	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
24.1b	(pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (.f64 d d))))

rewrite267.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

21.6b

Rules

168×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
108×	`prod-exp_binary64` `cbrt-unprod_binary64`
31×	`pow1_binary64`
24×	`div-exp_binary64` `cbrt-undiv_binary64`
18×	`pow-prod-down_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
5×	`pow-unpow_binary64` `add-log-exp_binary64`
4×	`associate-r_binary64`
3×	`unpow-prod-down_binary64` `pow-pow_binary64`
2×	`times-frac_binary64` `div-inv_binary64` `associate-l_binary64` `*-commutative_binary64`
1×	`exp-to-pow_binary64` `exp-prod_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `associate-/r_binary64` `unswap-sqr_binary64`

Counts

4 → 129

Calls

4 calls:

19.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
11.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
6.0ms	(.f64 (.f64 D D) h)
5.0ms	(pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (.f64 d d))))

Compiler

Compiled 4761 to 1051 computations (77.9% saved)

series361.0ms (2.2%)

Error

21.6b

Counts

4 → 51

Calls

4 calls:

157.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
124.0ms	(pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (.f64 d d))))
43.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
22.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2491 to 2295 computations (7.9% saved)

simplify133.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

600×	`times-frac_binary64`
503×	`associate-/l/_binary64`
471×	`associate-/r/_binary64`
338×	`associate-r_binary64`
311×	`associate-l_binary64`
242×	`associate-/r*_binary64`
237×	`associate-/l*_binary64`
135×	`*-commutative_binary64`
121×	`log-prod_binary64`
93×	`sqr-pow_binary64` `unswap-sqr_binary64`
89×	`exp-prod_binary64`
75×	`swap-sqr_binary64`
65×	`distribute-rgt-neg-in_binary64`
58×	`distribute-lft-neg-in_binary64`
55×	`cube-prod_binary64`
52×	`sub-neg_binary64`
49×	`associate-*r/_binary64`
47×	`log-div_binary64`
46×	`associate-*l/_binary64`
31×	`pow-sqr_binary64` `cancel-sign-sub-inv_binary64`
26×	`associate-+r+_binary64`
23×	`associate--l+_binary64`
21×	`+-commutative_binary64`
20×	`neg-mul-1_binary64` `neg-sub0_binary64`
19×	`associate--r+_binary64`
18×	`distribute-rgt-in_binary64`
17×	`cube-div_binary64`
15×	`*-lft-identity_binary64` `associate-+l+_binary64`
14×	`cube-unmult_binary64` `distribute-lft-in_binary64`
13×	`*-rgt-identity_binary64`
11×	`log-pow_binary64`
7×	`distribute-neg-in_binary64`
6×	`pow-plus_binary64`
5×	`rem-sqrt-square_binary64` `unsub-neg_binary64` `distribute-lft-neg-out_binary64` `count-2_binary64`
4×	`unpow1/2_binary64` `unpow1_binary64` `rem-log-exp_binary64`
3×	`unpow2_binary64` `pow-base-1_binary64`
2×	`fabs-mul_binary64`
1×	`log-rec_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-sqr_binary64` `distribute-rgt-out_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` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `exp-to-pow_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-0_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

180 → 140

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	226	5616
1	497	4069
2	2719	4069
3	5205	4069

prune78.0ms (0.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	140	12	152

Error

21.7b

Counts

152 → 12

Compiler

Compiled 1571 to 574 computations (63.5% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.6b	(.f64 (.f64 D D) h)
14.3b	(pow.f64 (pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w)) (/.f64 1 (.f64 c0 (.f64 d d))))
15.8b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
18.7b	(pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w))

rewrite191.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

21.6b

Rules

31×	`pow1_binary64` `add-exp-log_binary64`
30×	`add-cbrt-cube_binary64`
18×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
13×	`unpow-prod-down_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`pow-unpow_binary64`
5×	`add-log-exp_binary64` `pow-exp_binary64`
4×	`pow-pow_binary64` `associate-r_binary64`
3×	`pow-to-exp_binary64` `sqr-pow_binary64` `times-frac_binary64`
2×	`associate-l_binary64` `*-commutative_binary64`
1×	`exp-to-pow_binary64` `exp-prod_binary64` `div-inv_binary64` `unswap-sqr_binary64`

Counts

4 → 91

Calls

4 calls:

11.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
6.0ms	(pow.f64 (pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w)) (/.f64 1 (.f64 c0 (.f64 d d))))
6.0ms	(.f64 (.f64 D D) h)
3.0ms	(pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w))

Compiler

Compiled 3077 to 1052 computations (65.8% saved)

series401.0ms (2.5%)

Error

21.6b

Counts

4 → 48

Calls

4 calls:

220.0ms	(pow.f64 (pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w)) (/.f64 1 (.f64 c0 (.f64 d d))))
96.0ms	(pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w))
44.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
20.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2608 to 2373 computations (9% saved)

simplify158.0ms (1%)

Algorithm

1×	egg-herbie

Rules

474×	`exp-prod_binary64`
460×	`associate-/r*_binary64`
407×	`log-pow_binary64`
279×	`associate-*r/_binary64`
266×	`associate-r_binary64`
265×	`associate-l_binary64`
234×	`associate-*l/_binary64`
187×	`pow-sqr_binary64`
145×	`sqr-pow_binary64`
134×	`associate-/l/_binary64`
129×	`unswap-sqr_binary64`
123×	`log-prod_binary64`
113×	`*-commutative_binary64`
83×	`cube-prod_binary64`
77×	`times-frac_binary64`
75×	`associate-/r/_binary64`
55×	`associate-/l*_binary64`
39×	`swap-sqr_binary64`
34×	`*-rgt-identity_binary64` `associate-+r+_binary64`
33×	`*-lft-identity_binary64`
29×	`exp-to-pow_binary64`
28×	`associate-+l+_binary64`
23×	`+-commutative_binary64`
19×	`unpow3_binary64` `exp-sum_binary64` `cube-unmult_binary64`
18×	`rem-sqrt-square_binary64`
12×	`fabs-mul_binary64`
11×	`cube-mult_binary64`
9×	`pow-plus_binary64`
8×	`pow-base-1_binary64` `rem-log-exp_binary64`
7×	`fabs-sqr_binary64`
6×	`/-rgt-identity_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
5×	`unpow1/2_binary64` `count-2_binary64`
4×	`unpow1_binary64` `prod-exp_binary64`
3×	`unpow2_binary64`
2×	`rem-exp-log_binary64`
1×	`log-E_binary64` `exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `*-inverses_binary64` `distribute-rgt-out_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` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_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` `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-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-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

139 → 95

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	3578
1	387	3274
2	1586	3247
3	4089	3054
4	4943	3054
5	5089	3054

prune77.0ms (0.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	94	13	107

Error

21.7b

Counts

107 → 13

Compiler

Compiled 1253 to 512 computations (59.1% saved)

regimes2.9s (18.1%)

Accuracy

Total 4.6b remaining (15.6%)

Threshold costs 0b (0%)

Compiler

Compiled 53145 to 28988 computations (45.5% saved)

bsearch10.0ms (0.1%)

Compiler: Compiled 52 to 21 computations (59.6% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`1-exp_binary64` `cancel-sign-sub-inv_binary64` `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` `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` `unsub-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_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	527
1	73	527
2	79	527
3	83	527
4	85	527
5	84	527

end2.0ms (0%)

Compiler: Compiled 350 to 66 computations (81.1% saved)

sample5.7s (35.1%)

Algorithm

1×

intervals

Results

1.0s	2094×	body	4096	valid
932.0ms	12124×	body	128	nan
737.0ms	1150×	body	8192	valid
529.0ms	1356×	body	2048	valid
331.0ms	4080×	body	128	invalid
191.0ms	2352×	body	128	valid
188.0ms	608×	body	1024	valid
68.0ms	299×	body	512	valid
21.0ms	141×	body	256	valid
20.0ms	65×	body	1024	invalid
18.0ms	47×	body	2048	invalid
7.0ms	32×	body	512	invalid
6.0ms	12×	body	4096	invalid
4.0ms	7×	body	8192	exit
3.0ms	20×	body	256	invalid

Compiler

Compiled 892 to 420 computations (52.9% saved)

Details

analyze1.9s (11.9%)

sample408.0ms (2.5%)

simplify46.0ms (0.3%)

prune4.0ms (0%)

localize21.0ms (0.1%)

rewrite940.0ms (5.8%)

series515.0ms (3.2%)

simplify189.0ms (1.2%)

prune105.0ms (0.7%)

localize18.0ms (0.1%)

rewrite811.0ms (5%)

series372.0ms (2.3%)

simplify325.0ms (2%)

prune147.0ms (0.9%)

localize22.0ms (0.1%)

rewrite267.0ms (1.7%)

series361.0ms (2.2%)

simplify133.0ms (0.8%)

prune78.0ms (0.5%)

localize19.0ms (0.1%)

rewrite191.0ms (1.2%)

series401.0ms (2.5%)

simplify158.0ms (1%)

prune77.0ms (0.5%)

regimes2.9s (18.1%)

bsearch10.0ms (0.1%)

simplify19.0ms (0.1%)

end2.0ms (0%)

sample5.7s (35.1%)

Profiling