Details

analyze2.1s (22.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

514×	`exp-prod_binary64`
284×	`associate-r_binary64`
265×	`associate-l_binary64`
250×	`associate--r+_binary64`
208×	`distribute-neg-in_binary64`
150×	`distribute-lft-neg-out_binary64`
131×	`distribute-rgt-neg-out_binary64`
116×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
108×	`associate-l/_binary64` `associate-r/_binary64` `associate-+l+_binary64`
97×	`sub-neg_binary64` `+-commutative_binary64`
85×	`*-commutative_binary64`
84×	`exp-sum_binary64`
71×	`neg-mul-1_binary64` `neg-sub0_binary64`
63×	`sqr-pow_binary64`
57×	`associate-+r-_binary64`
56×	`exp-lft-sqr_binary64`
55×	`associate-+l-_binary64`
47×	`distribute-rgt-neg-in_binary64`
42×	`cancel-sign-sub-inv_binary64`
33×	`distribute-lft-neg-in_binary64`
32×	`associate-/r/_binary64` `associate-/l*_binary64`
28×	`distribute-neg-frac_binary64`
24×	`unsub-neg_binary64` `associate--l+_binary64`
21×	`unpow1_binary64` `prod-exp_binary64` `exp-diff_binary64` `div-sub_binary64` `pow-sqr_binary64`
14×	`associate-/r*_binary64`
7×	`remove-double-neg_binary64`
4×	`distribute-rgt-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-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` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_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` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1034
1	597	968
2	1702	968
3	4907	968
4	5523	968
0	7	7
1	7	7

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
3.1%	96.5%	0.3%	9
4.7%	95%	0.3%	10
4.7%	95%	0.3%	11
5.1%	82.1%	12.8%	12
6.2%	74.7%	19%	13
6.4%	74.5%	19%	14

Compiler

Compiled 34 to 30 computations (11.8% saved)

sample68.0ms (0.7%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
19.0ms	149×	body	128	nan

Compiler

Compiled 67 to 66 computations (1.5% saved)

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

630×	`exp-prod_binary64`
433×	`exp-sum_binary64`
328×	`exp-diff_binary64`
321×	`distribute-rgt-in_binary64`
303×	`distribute-lft-in_binary64`
283×	`unsub-neg_binary64`
213×	`cancel-sign-sub-inv_binary64`
209×	`distribute-neg-in_binary64`
179×	`distribute-rgt-neg-out_binary64`
176×	`exp-neg_binary64`
164×	`associate-/l*_binary64`
152×	`distribute-lft-neg-out_binary64`
130×	`div-sub_binary64` `sub-neg_binary64`
117×	`associate-l_binary64`
112×	`associate--r+_binary64`
111×	`associate-+r+_binary64`
107×	`associate-r_binary64`
99×	`associate-+l+_binary64`
98×	`times-frac_binary64`
87×	`*-commutative_binary64`
72×	`neg-sub0_binary64`
57×	`distribute-neg-frac_binary64`
53×	`exp-lft-sqr_binary64` `distribute-rgt-neg-in_binary64`
43×	`associate-*l/_binary64`
42×	`associate-*r/_binary64`
39×	`neg-mul-1_binary64` `distribute-neg-out_binary64`
37×	`sqr-pow_binary64`
36×	`distribute-lft-neg-in_binary64` `associate-/l/_binary64`
31×	`prod-exp_binary64`
26×	`+-commutative_binary64`
20×	`exp-cbrt_binary64`
19×	`associate-/r/_binary64`
17×	`associate-+l-_binary64`
16×	`div-exp_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
15×	`distribute-rgt-out_binary64`
14×	`remove-double-neg_binary64`
11×	`distribute-lft-out_binary64` `associate-+r-_binary64`
10×	`distribute-frac-neg_binary64` `associate-/r*_binary64` `associate--l+_binary64`
9×	`distribute-rgt-out--_binary64`
7×	`sub0-neg_binary64` `swap-sqr_binary64`
6×	`*-rgt-identity_binary64` `+-rgt-identity_binary64`
5×	`pow-sqr_binary64`
4×	`associate--r-_binary64`
3×	`unpow1_binary64`
2×	`unswap-sqr_binary64`
1×	`unpow3_binary64` `unpow1/2_binary64` `1-exp_binary64` `cube-unmult_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64` `--rgt-identity_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-sqrt_binary64` `rec-exp_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` `/-rgt-identity_binary64` `+-lft-identity_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	47
1	55	44
2	134	44
3	490	44
4	1924	44
5	4126	44
6	5053	44

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

3.3b

Counts

2 → 1

Compiler

Compiled 58 to 50 computations (13.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (sqrt.f64 (+.f64 t a)))
0.4b	(/.f64 2/3 t)
2.6b	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
4.0b	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)

rewrite263.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

35×	`add-sqr-sqrt_binary64`
33×	`*-un-lft-identity_binary64`
31×	`add-cube-cbrt_binary64`
30×	`times-frac_binary64` `associate--r+_binary64`
27×	`cancel-sign-sub-inv_binary64`
20×	`frac-sub_binary64`
15×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`associate-*r/_binary64` `frac-times_binary64`
7×	`associate-r_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `associate-/r*_binary64`
5×	`flip3-+_binary64` `flip-+_binary64` `sqrt-prod_binary64`
4×	`div-inv_binary64` `sqrt-div_binary64` `associate-/l*_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `sub-neg_binary64` `associate-l_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `associate-*l/_binary64` `associate--l+_binary64` `unswap-sqr_binary64`
1×	`diff-log_binary64` `pow-prod-down_binary64` `distribute-lft-out_binary64` `*-commutative_binary64`

Counts

4 → 131

Calls

4 calls:

21.0ms	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
8.0ms	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
8.0ms	(*.f64 z (sqrt.f64 (+.f64 t a)))
3.0ms	(/.f64 2/3 t)

Compiler

Compiled 5320 to 2587 computations (51.4% saved)

series321.0ms (3.4%)

Error

0.0b

Counts

4 → 52

Calls

4 calls:

177.0ms	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
45.0ms	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
39.0ms	(*.f64 z (sqrt.f64 (+.f64 t a)))
8.0ms	(/.f64 2/3 t)

Compiler

Compiled 4045 to 3155 computations (22% saved)

simplify143.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

675×	`times-frac_binary64`
348×	`associate-r_binary64`
332×	`associate-l_binary64`
288×	`distribute-rgt-in_binary64`
284×	`distribute-lft-in_binary64`
268×	`*-commutative_binary64`
135×	`+-commutative_binary64`
120×	`cancel-sign-sub-inv_binary64`
106×	`associate-*l/_binary64`
88×	`sub-neg_binary64`
87×	`distribute-rgt-neg-in_binary64`
83×	`associate-/l*_binary64`
79×	`associate--l+_binary64`
77×	`associate-+l+_binary64`
74×	`associate--r+_binary64`
69×	`associate-*r/_binary64`
59×	`distribute-lft-neg-in_binary64`
58×	`associate-+r+_binary64`
50×	`neg-sub0_binary64`
47×	`neg-mul-1_binary64`
32×	`associate-/r*_binary64`
29×	`associate-/l/_binary64`
27×	`distribute-lft-neg-out_binary64`
25×	`log-div_binary64` `cube-div_binary64`
23×	`distribute-neg-in_binary64`
21×	`exp-prod_binary64` `exp-sum_binary64` `sqr-pow_binary64`
15×	`unpow3_binary64`
14×	`cube-mult_binary64` `associate-/r/_binary64`
13×	`cube-prod_binary64`
11×	`log-prod_binary64`
10×	`swap-sqr_binary64` `distribute-neg-frac_binary64`
8×	`distribute-rgt-out_binary64`
7×	`difference-of-squares_binary64`
6×	`log-rec_binary64`
5×	`exp-diff_binary64` `distribute-rgt-out--_binary64`
4×	`mul-1-neg_binary64` `/-rgt-identity_binary64`
3×	`cube-unmult_binary64` `associate-+r-_binary64`
2×	`rem-sqrt-square_binary64` `associate-+l-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `*-rgt-identity_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_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` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

183 → 125

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	381	4666
1	1116	4491
2	4488	4491
3	5547	4491

prune163.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	123	3	126

Error

0.0b

Counts

126 → 3

Compiler

Compiled 4061 to 2100 computations (48.3% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 2/3 (/.f64 c t))
0.5b	(+.f64 (.f64 2/3 (/.f64 b t)) (.f64 c (+.f64 a 5/6)))
1.0b	(+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6)))
3.0b	(-.f64 (+.f64 (.f64 2/3 (/.f64 b t)) (.f64 c (+.f64 a 5/6))) (+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6))))

rewrite230.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`associate-*r/_binary64`
24×	`frac-add_binary64`
22×	`flip3-+_binary64` `flip-+_binary64`
20×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
16×	`frac-sub_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64` `associate-r_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`sum-log_binary64` `pow1_binary64`
4×	`diff-log_binary64` `associate-+r+_binary64`
3×	`cancel-sign-sub-inv_binary64` `associate-l_binary64`
2×	`sub-div_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `+-commutative_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64` `associate--r+_binary64` `pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

17.0ms	(-.f64 (+.f64 (.f64 2/3 (/.f64 b t)) (.f64 c (+.f64 a 5/6))) (+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6))))
7.0ms	(+.f64 (.f64 2/3 (/.f64 b t)) (.f64 c (+.f64 a 5/6)))
7.0ms	(+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6)))
7.0ms	(*.f64 2/3 (/.f64 c t))

Compiler

Compiled 5548 to 3416 computations (38.4% saved)

series358.0ms (3.8%)

Error

0.0b

Counts

4 → 78

Calls

4 calls:

127.0ms	(-.f64 (+.f64 (.f64 2/3 (/.f64 b t)) (.f64 c (+.f64 a 5/6))) (+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6))))
84.0ms	(+.f64 (.f64 2/3 (/.f64 b t)) (.f64 c (+.f64 a 5/6)))
82.0ms	(+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6)))
21.0ms	(*.f64 2/3 (/.f64 c t))

Compiler

Compiled 4506 to 3723 computations (17.4% saved)

simplify164.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

459×	`distribute-rgt-in_binary64`
452×	`distribute-lft-in_binary64`
367×	`associate-l_binary64`
365×	`associate-r_binary64`
136×	`cancel-sign-sub-inv_binary64`
106×	`*-commutative_binary64`
93×	`associate--r+_binary64`
86×	`distribute-rgt-neg-in_binary64`
83×	`sub-neg_binary64`
59×	`distribute-lft-neg-in_binary64` `associate--l+_binary64`
53×	`associate-*r/_binary64`
52×	`distribute-neg-in_binary64`
48×	`neg-sub0_binary64`
47×	`neg-mul-1_binary64`
44×	`associate-/l_binary64` `associate-l/_binary64`
31×	`exp-prod_binary64` `+-commutative_binary64`
26×	`distribute-lft-neg-out_binary64`
23×	`sqr-pow_binary64`
18×	`times-frac_binary64`
15×	`associate-/r*_binary64`
14×	`unpow3_binary64` `associate-/l/_binary64`
12×	`swap-sqr_binary64`
10×	`exp-sum_binary64` `cube-mult_binary64`
9×	`cube-prod_binary64`
8×	`distribute-rgt-out--_binary64`
6×	`log-prod_binary64` `associate-+r+_binary64`
5×	`div-exp_binary64` `mul-1-neg_binary64` `associate-/r/_binary64`
4×	`log-div_binary64` `cube-div_binary64` `difference-of-squares_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
3×	`distribute-neg-frac_binary64`
2×	`prod-exp_binary64` `cube-unmult_binary64` `/-rgt-identity_binary64`
1×	`exp-diff_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `unsub-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_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-pow_binary64` `log-rec_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` `rec-exp_binary64` `exp-neg_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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

179 → 129

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	293	5717
1	1039	5407
2	4961	5407
3	4987	5407

prune135.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	129	3	132

Error

0.0b

Counts

132 → 3

Compiler

Compiled 3916 to 2360 computations (39.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 z (sqrt.f64 a)) (.f64 2/3 (-.f64 b c)))
0.2b	(*.f64 z (sqrt.f64 a))
0.3b	(*.f64 2/3 (-.f64 b c))
1.3b	(/.f64 (+.f64 (.f64 z (sqrt.f64 a)) (.f64 2/3 (-.f64 b c))) t)

rewrite151.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
12×	`cancel-sign-sub-inv_binary64`
11×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`times-frac_binary64`
8×	`pow1_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-+r+_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
4×	`sub-neg_binary64` `sqrt-prod_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64` `unswap-sqr_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `-commutative_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

7.0ms	(*.f64 2/3 (-.f64 b c))
7.0ms	(/.f64 (+.f64 (.f64 z (sqrt.f64 a)) (.f64 2/3 (-.f64 b c))) t)
6.0ms	(+.f64 (.f64 z (sqrt.f64 a)) (.f64 2/3 (-.f64 b c)))
5.0ms	(*.f64 z (sqrt.f64 a))

Compiler

Compiled 2779 to 1366 computations (50.8% saved)

series239.0ms (2.5%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

106.0ms	(/.f64 (+.f64 (.f64 z (sqrt.f64 a)) (.f64 2/3 (-.f64 b c))) t)
67.0ms	(+.f64 (.f64 z (sqrt.f64 a)) (.f64 2/3 (-.f64 b c)))
26.0ms	(*.f64 2/3 (-.f64 b c))
19.0ms	(*.f64 z (sqrt.f64 a))

Compiler

Compiled 2599 to 2372 computations (8.7% saved)

simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

462×	`distribute-rgt-in_binary64`
435×	`distribute-lft-in_binary64`
433×	`div-sub_binary64`
326×	`*-commutative_binary64`
252×	`unsub-neg_binary64`
136×	`neg-sub0_binary64`
132×	`neg-mul-1_binary64`
121×	`cancel-sign-sub-inv_binary64`
119×	`exp-prod_binary64`
115×	`associate-/l*_binary64`
103×	`associate-l_binary64`
84×	`associate-r_binary64`
71×	`associate-+l+_binary64`
67×	`distribute-rgt-neg-in_binary64` `associate-*l/_binary64`
63×	`exp-sum_binary64`
58×	`sub-neg_binary64` `associate-*r/_binary64`
57×	`associate-+r+_binary64`
50×	`distribute-lft-neg-in_binary64`
49×	`distribute-lft-neg-out_binary64` `associate-/r*_binary64`
48×	`+-commutative_binary64`
45×	`associate-/l/_binary64`
41×	`distribute-rgt-neg-out_binary64`
38×	`exp-diff_binary64`
36×	`distribute-neg-in_binary64`
32×	`associate-/r/_binary64`
30×	`associate--r+_binary64`
29×	`sqr-pow_binary64`
27×	`associate-+r-_binary64`
25×	`times-frac_binary64`
23×	`associate-+l-_binary64`
22×	`cube-prod_binary64` `associate--l+_binary64`
19×	`log-prod_binary64` `distribute-rgt-out_binary64`
12×	`*-rgt-identity_binary64`
11×	`distribute-rgt-out--_binary64`
10×	`*-lft-identity_binary64` `unswap-sqr_binary64`
9×	`unpow3_binary64` `distribute-lft-out_binary64`
8×	`swap-sqr_binary64`
7×	`sqr-neg_binary64` `/-rgt-identity_binary64` `associate--r-_binary64`
6×	`log-div_binary64` `exp-neg_binary64` `cancel-sign-sub_binary64`
5×	`cube-unmult_binary64` `distribute-neg-frac_binary64` `distribute-lft-out--_binary64`
4×	`cube-mult_binary64` `cube-div_binary64` `remove-double-neg_binary64` `difference-of-squares_binary64` `associate--l-_binary64`
3×	`rem-sqrt-square_binary64` `mul-1-neg_binary64`
2×	`cube-neg_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64`
1×	`unpow1/3_binary64` `unpow1/2_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `+-rgt-identity_binary64` `distribute-frac-neg_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` `pow-base-0_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sub0-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

163 → 120

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	2445
1	433	2338
2	1209	2299
3	3561	2299
4	4944	2299

prune82.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Error

0.0b

Counts

123 → 3

Compiler

Compiled 1792 to 896 computations (50% saved)

regimes2.5s (26.7%)

Accuracy

Total 1.7b remaining (99.3%)

Threshold costs 0b (0%)

Compiler

Compiled 36467 to 33516 computations (8.1% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 24 to 23 computations (4.2% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64` `+-commutative_binary64`
12×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
10×	`neg-mul-1_binary64` `neg-sub0_binary64`
8×	`distribute-rgt-neg-in_binary64`
5×	`unsub-neg_binary64` `distribute-lft-neg-in_binary64`
4×	`distribute-lft-neg-out_binary64`
2×	`remove-double-neg_binary64` `distribute-rgt-neg-out_binary64`
1×	`1-exp_binary64` `distribute-neg-frac_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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	121
1	69	121
2	91	121
3	114	121
4	146	121
5	158	121
6	161	121
7	162	121
8	154	121

end2.0ms (0%)

Compiler: Compiled 79 to 53 computations (32.9% saved)

sample2.3s (23.9%)

Algorithm

1×

intervals

Results

791.0ms	8000×	body	128	valid
514.0ms	5050×	body	128	nan

Compiler

Compiled 320 to 274 computations (14.4% saved)

Iter	Nodes	Cost
0	47	121
1	69	121
2	91	121
3	114	121
4	146	121
5	158	121
6	161	121
7	162	121
8	154	121

Iter	Nodes	Cost
0	47	121
1	69	121
2	91	121
3	114	121
4	146	121
5	158	121
6	161	121
7	162	121
8	154	121

Details

analyze2.1s (22.2%)

sample68.0ms (0.7%)

simplify55.0ms (0.6%)

prune4.0ms (0%)

localize21.0ms (0.2%)

rewrite263.0ms (2.8%)

series321.0ms (3.4%)

simplify143.0ms (1.5%)

prune163.0ms (1.7%)

localize23.0ms (0.2%)

rewrite230.0ms (2.4%)

series358.0ms (3.8%)

simplify164.0ms (1.7%)

prune135.0ms (1.4%)

localize19.0ms (0.2%)

rewrite151.0ms (1.6%)

series239.0ms (2.5%)

simplify115.0ms (1.2%)

prune82.0ms (0.9%)

regimes2.5s (26.7%)

bsearch5.0ms (0.1%)

simplify9.0ms (0.1%)

end2.0ms (0%)

sample2.3s (23.9%)

Profiling

Iter	Nodes	Cost
0	47	121
1	69	121
2	91	121
3	114	121
4	146	121
5	158	121
6	161	121
7	162	121
8	154	121