Details

analyze2.2s (12.9%)

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)

sample177.0ms (1%)

Algorithm

1×

intervals

Results

36.0ms	74×	body	4096	valid
32.0ms	362×	body	128	nan
21.0ms	34×	body	8192	valid
20.0ms	44×	body	2048	valid
10.0ms	136×	body	128	invalid
7.0ms	22×	body	1024	valid
5.0ms	69×	body	128	valid
2.0ms	8×	body	512	valid
1.0ms	1×	body	8192	exit
1.0ms	3×	body	1024	invalid
1.0ms	5×	body	256	valid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify48.0ms (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

prune7.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

58.6b

Counts

2 → 1

Compiler

Compiled 98 to 48 computations (51% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

15.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
27.7b	(+.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))))

rewrite692.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

58.6b

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))))
16.0ms	(/.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)

series600.0ms (3.5%)

Error

33.2b

Counts

4 → 78

Calls

4 calls:

247.0ms	(+.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))))
113.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
113.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
110.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 6742 to 4321 computations (35.9% saved)

simplify202.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

553×	`times-frac_binary64`
265×	`associate-l_binary64`
226×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
202×	`associate-/r*_binary64`
198×	`associate-/l*_binary64`
181×	`unpow3_binary64`
161×	`distribute-rgt-neg-in_binary64`
155×	`distribute-lft-neg-in_binary64`
148×	`swap-sqr_binary64`
146×	`log-div_binary64`
111×	`cube-prod_binary64` `*-commutative_binary64`
107×	`distribute-neg-frac_binary64`
101×	`cube-div_binary64`
98×	`log-prod_binary64`
88×	`associate-*l/_binary64`
80×	`sub-neg_binary64`
71×	`associate-*r/_binary64`
68×	`unswap-sqr_binary64`
52×	`sqr-pow_binary64`
47×	`neg-sub0_binary64`
45×	`neg-mul-1_binary64`
44×	`distribute-rgt-out--_binary64`
33×	`+-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` `distribute-rgt-out_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` `distribute-lft-out_binary64`

Counts

221 → 209

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	6172
1	485	5688
2	2915	5619
3	4774	5571
4	5027	5571

prune82.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	204	5	209
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	205	5	210

Error

33.2b

Counts

210 → 5

Compiler

Compiled 3033 to 739 computations (75.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.6b	(.f64 (.f64 d d) c0)
12.7b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
12.8b	(.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))))
13.9b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite717.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

24.1b

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×	`associate-r/_binary64` `-commutative_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:

35.0ms	(.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))
12.0ms	(.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)

series366.0ms (2.2%)

Error

26.0b

Counts

4 → 54

Calls

4 calls:

151.0ms	(/.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))))
63.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
18.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 2430 to 2285 computations (6% saved)

simplify331.0ms (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

prune138.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	348	6	354
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	349	10	359

Error

23.9b

Counts

359 → 10

Compiler

Compiled 2752 to 1146 computations (58.4% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

6.7b	(.f64 (.f64 D D) h)
11.7b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
15.9b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))

rewrite181.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

17.8b

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:

15.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
10.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2086 to 424 computations (79.7% saved)

series129.0ms (0.8%)

Error

23.9b

Counts

3 → 27

Calls

3 calls:

72.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
35.0ms	(.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)

simplify127.0ms (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

prune26.0ms (0.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	78	12	90

Error

18.8b

Counts

90 → 12

Compiler

Compiled 465 to 279 computations (40% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.4b	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
6.0b	(/.f64 (.f64 (.f64 D D) h) d)
6.7b	(.f64 (.f64 D D) h)
15.2b	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))

rewrite255.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

15.8b

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:

12.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
11.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
6.0ms	(/.f64 (.f64 (.f64 D D) h) d)
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2691 to 634 computations (76.4% saved)

series184.0ms (1.1%)

Error

18.6b

Counts

4 → 39

Calls

4 calls:

69.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
60.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
33.0ms	(/.f64 (.f64 (.f64 D D) h) d)
17.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1215 to 1278 computations (-5.2% saved)

simplify173.0ms (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

prune51.0ms (0.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	103	11	114
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	106	20	126

Error

15.9b

Counts

126 → 20

Compiler

Compiled 619 to 200 computations (67.7% saved)

regimes4.6s (27%)

Accuracy

Total 7.3b remaining (26.6%)

Threshold costs 0b (0%)

Compiler

Compiled 93384 to 55492 computations (40.6% saved)

bsearch13.0ms (0.1%)

Compiler: Compiled 3 to 7 computations (-133.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_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` `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` `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-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	26	48
1	36	48
2	38	48
3	39	48
4	39	48

end1.0ms (0%)

Compiler: Compiled 32 to 25 computations (21.9% saved)

sample5.6s (33.1%)

Algorithm

1×

intervals

Results

1.0s	2093×	body	4096	valid
933.0ms	12064×	body	128	nan
718.0ms	1158×	body	8192	valid
502.0ms	1291×	body	2048	valid
317.0ms	4045×	body	128	invalid
204.0ms	677×	body	1024	valid
183.0ms	2300×	body	128	valid
77.0ms	323×	body	512	valid
28.0ms	75×	body	2048	invalid
26.0ms	158×	body	256	valid
21.0ms	71×	body	1024	invalid
8.0ms	37×	body	512	invalid
6.0ms	10×	body	8192	exit
3.0ms	22×	body	256	invalid
3.0ms	6×	body	4096	invalid

Compiler

Compiled 545 to 396 computations (27.3% saved)

Details

analyze2.2s (12.9%)

sample177.0ms (1%)

simplify48.0ms (0.3%)

prune7.0ms (0%)

localize22.0ms (0.1%)

rewrite692.0ms (4.1%)

series600.0ms (3.5%)

simplify202.0ms (1.2%)

prune82.0ms (0.5%)

localize17.0ms (0.1%)

rewrite717.0ms (4.2%)

series366.0ms (2.2%)

simplify331.0ms (1.9%)

prune138.0ms (0.8%)

localize13.0ms (0.1%)

rewrite181.0ms (1.1%)

series129.0ms (0.8%)

simplify127.0ms (0.7%)

prune26.0ms (0.2%)

localize13.0ms (0.1%)

rewrite255.0ms (1.5%)

series184.0ms (1.1%)

simplify173.0ms (1%)

prune51.0ms (0.3%)

regimes4.6s (27%)

bsearch13.0ms (0.1%)

simplify5.0ms (0%)

end1.0ms (0%)

sample5.6s (33.1%)

Profiling