Details

analyze2.0s (11.8%)

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` `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)

sample168.0ms (1%)

Algorithm

1×

intervals

Results

33.0ms	414×	body	128	nan
29.0ms	63×	body	4096	valid
22.0ms	30×	body	8192	valid
17.0ms	44×	body	2048	valid
9.0ms	124×	body	128	invalid
7.0ms	90×	body	128	valid
4.0ms	15×	body	1024	valid
2.0ms	11×	body	512	valid
1.0ms	1×	body	2048	invalid
1.0ms	2×	body	1024	invalid
0.0ms	3×	body	256	valid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify45.0ms (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` `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

59.2b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

17.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
27.4b	(+.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))))

rewrite877.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

59.1b

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:

46.0ms	(+.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)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10014 to 1186 computations (88.2% saved)

series593.0ms (3.6%)

Error

38.1b

Counts

4 → 78

Calls

4 calls:

244.0ms	(+.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 6742 to 4321 computations (35.9% saved)

simplify199.0ms (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` `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

prune89.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	204	5	209
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	205	6	211

Error

38.3b

Counts

211 → 6

Compiler

Compiled 3049 to 767 computations (74.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.5b	(.f64 w (.f64 (*.f64 D D) h))
10.6b	(.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))))
13.5b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
18.2b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite1.1s (6.9%)

Algorithm

1×	rewrite-expression-head

Error

30.7b

Rules

921×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
626×	`prod-exp_binary64` `cbrt-unprod_binary64`
166×	`div-exp_binary64` `cbrt-undiv_binary64`
50×	`pow1_binary64`
33×	`pow-prod-down_binary64`
11×	`associate-l_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `times-frac_binary64`
3×	`associate-r_binary64` `-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`

Counts

4 → 317

Calls

4 calls:

32.0ms	(.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))
12.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
7.0ms	(.f64 w (.f64 (*.f64 D D) h))

Compiler

Compiled 14884 to 3462 computations (76.7% saved)

series381.0ms (2.3%)

Error

33.2b

Counts

4 → 57

Calls

4 calls:

151.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
125.0ms	(.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))))
62.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
35.0ms	(.f64 w (.f64 (*.f64 D D) h))

Compiler

Compiled 2580 to 2409 computations (6.6% saved)

simplify330.0ms (2%)

Algorithm

1×	egg-herbie

Rules

841×	`times-frac_binary64`
521×	`associate-l_binary64`
365×	`associate-*r/_binary64`
363×	`associate-/r*_binary64`
337×	`associate-/l*_binary64`
305×	`associate-*l/_binary64`
166×	`*-commutative_binary64`
148×	`associate-r_binary64`
121×	`log-div_binary64`
64×	`associate-+r+_binary64`
58×	`associate-+l-_binary64`
39×	`sub-neg_binary64`
31×	`+-commutative_binary64`
27×	`swap-sqr_binary64` `associate-+r-_binary64`
23×	`log-prod_binary64`
19×	`associate-/r/_binary64`
16×	`associate--l+_binary64`
15×	`exp-prod_binary64` `cube-unmult_binary64`
14×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
13×	`unswap-sqr_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×	`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` `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` `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

374 → 352

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	471	19134
1	754	12705
2	4800	12705
3	4985	12705

prune144.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	347	5	352
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	348	10	358

Error

31.2b

Counts

358 → 10

Compiler

Compiled 2654 to 1150 computations (56.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.8b	(.f64 (.f64 D D) h)
12.2b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
18.2b	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
20.2b	(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))))

rewrite257.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

29.4b

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:

18.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
10.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
7.0ms	(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))))
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 4761 to 1051 computations (77.9% saved)

series354.0ms (2.1%)

Error

29.4b

Counts

4 → 51

Calls

4 calls:

156.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
126.0ms	(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))))
40.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
19.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2491 to 2295 computations (7.9% saved)

simplify136.0ms (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`
92×	`sqr-pow_binary64`
91×	`unswap-sqr_binary64`
89×	`exp-prod_binary64`
73×	`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×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64` `count-2_binary64`
4×	`unpow1/2_binary64` `unpow1_binary64` `rem-log-exp_binary64` `rem-sqrt-square_binary64`
3×	`unpow2_binary64` `pow-base-1_binary64`
1×	`log-rec_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_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` `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	5618
1	497	4071
2	2719	4071
3	5201	4071

prune72.0ms (0.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	141	9	150

Error

29.9b

Counts

150 → 9

Compiler

Compiled 1480 to 519 computations (64.9% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.8b	(.f64 (.f64 D D) h)
12.2b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
13.1b	(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))))
15.6b	(pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w))

rewrite180.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

29.4b

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:

10.0ms	(.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)

series393.0ms (2.4%)

Error

29.4b

Counts

4 → 48

Calls

4 calls:

219.0ms	(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))))
93.0ms	(pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w))
41.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
22.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2608 to 2373 computations (9% saved)

simplify126.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

471×	`exp-prod_binary64`
460×	`associate-/r*_binary64`
279×	`associate-*r/_binary64`
266×	`associate-r_binary64`
265×	`associate-l_binary64`
234×	`associate-*l/_binary64`
190×	`pow-sqr_binary64`
167×	`log-pow_binary64`
145×	`sqr-pow_binary64`
141×	`unswap-sqr_binary64`
134×	`associate-/l/_binary64`
119×	`log-prod_binary64`
113×	`*-commutative_binary64`
78×	`cube-prod_binary64`
77×	`times-frac_binary64`
75×	`associate-/r/_binary64`
55×	`associate-/l*_binary64`
35×	`*-rgt-identity_binary64` `swap-sqr_binary64`
34×	`*-lft-identity_binary64` `associate-+r+_binary64`
29×	`exp-to-pow_binary64`
28×	`associate-+l+_binary64`
25×	`exp-sum_binary64`
23×	`+-commutative_binary64`
20×	`unpow3_binary64`
19×	`cube-unmult_binary64`
14×	`rem-sqrt-square_binary64`
11×	`cube-mult_binary64`
9×	`pow-plus_binary64`
8×	`pow-base-1_binary64` `rem-log-exp_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` `rem-exp-log_binary64`
1×	`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-E_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` `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	3584
1	387	3274
2	1586	3253
3	4181	3072
4	5004	3072

prune72.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	95	9	104

Error

29.9b

Counts

104 → 9

Compiler

Compiled 1411 to 569 computations (59.7% saved)

regimes3.5s (20.8%)

Accuracy

Total 4.5b remaining (15%)

Threshold costs 0b (0%)

Compiler

Compiled 67275 to 41778 computations (37.9% saved)

bsearch13.0ms (0.1%)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`1-exp_binary64` `*-lft-identity_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` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `*-rgt-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	43	296
1	60	296
2	66	296
3	70	296
4	72	296
5	71	296

end2.0ms (0%)

Compiler: Compiled 197 to 50 computations (74.6% saved)

sample5.5s (33.2%)

Algorithm

1×

intervals

Results

1.0s	2072×	body	4096	valid
917.0ms	11850×	body	128	nan
739.0ms	1171×	body	8192	valid
515.0ms	1313×	body	2048	valid
317.0ms	4015×	body	128	invalid
191.0ms	609×	body	1024	valid
186.0ms	2390×	body	128	valid
67.0ms	297×	body	512	valid
22.0ms	148×	body	256	valid
22.0ms	57×	body	2048	invalid
20.0ms	67×	body	1024	invalid
15.0ms	35×	body	512	invalid
8.0ms	16×	body	4096	invalid
4.0ms	26×	body	256	invalid
4.0ms	7×	body	8192	exit

Compiler

Compiled 566 to 310 computations (45.2% saved)

Details

analyze2.0s (11.8%)

sample168.0ms (1%)

simplify45.0ms (0.3%)

prune4.0ms (0%)

localize24.0ms (0.1%)

rewrite877.0ms (5.3%)

series593.0ms (3.6%)

simplify199.0ms (1.2%)

prune89.0ms (0.5%)

localize17.0ms (0.1%)

rewrite1.1s (6.9%)

series381.0ms (2.3%)

simplify330.0ms (2%)

prune144.0ms (0.9%)

localize17.0ms (0.1%)

rewrite257.0ms (1.6%)

series354.0ms (2.1%)

simplify136.0ms (0.8%)

prune72.0ms (0.4%)

localize19.0ms (0.1%)

rewrite180.0ms (1.1%)

series393.0ms (2.4%)

simplify126.0ms (0.8%)

prune72.0ms (0.4%)

regimes3.5s (20.8%)

bsearch13.0ms (0.1%)

simplify10.0ms (0.1%)

end2.0ms (0%)

sample5.5s (33.2%)

Profiling