Details

analyze226.0ms (5.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

610×	`times-frac_binary64`
558×	`sub-neg_binary64`
440×	`neg-mul-1_binary64`
438×	`associate-/l*_binary64`
424×	`distribute-neg-frac_binary64`
418×	`neg-sub0_binary64`
402×	`distribute-rgt-neg-in_binary64`
392×	`div-sub_binary64`
354×	`unsub-neg_binary64`
288×	`distribute-lft-neg-out_binary64`
282×	`cancel-sign-sub-inv_binary64`
248×	`distribute-neg-in_binary64`
218×	`distribute-lft-neg-in_binary64`
214×	`associate-*l/_binary64`
204×	`+-commutative_binary64`
186×	`distribute-rgt-in_binary64`
166×	`associate-/r/_binary64`
154×	`remove-double-neg_binary64`
152×	`associate--r+_binary64`
146×	`distribute-rgt-out--_binary64`
142×	`distribute-lft-in_binary64`
140×	`distribute-frac-neg_binary64`
138×	`associate-r_binary64`
134×	`associate-l_binary64`
128×	`distribute-rgt-neg-out_binary64`
116×	`associate--r-_binary64`
108×	`distribute-lft-out--_binary64` `associate--l+_binary64`
106×	`distribute-lft-out_binary64`
92×	`*-rgt-identity_binary64` `associate-/l/_binary64`
90×	`*-commutative_binary64`
82×	`distribute-rgt-out_binary64` `associate-/r*_binary64`
72×	`associate-*r/_binary64`
62×	`div0_binary64` `associate-+r+_binary64`
60×	`associate-+l-_binary64`
48×	`*-lft-identity_binary64` `associate--l-_binary64`
46×	`cancel-sign-sub_binary64` `associate-+r-_binary64`
44×	`sub0-neg_binary64` `remove-double-div_binary64` `associate-+l+_binary64`
40×	`distribute-neg-out_binary64`
22×	`distribute-rgt1-in_binary64`
20×	`/-rgt-identity_binary64`
16×	`+-rgt-identity_binary64`
14×	`mul-1-neg_binary64`
12×	`--rgt-identity_binary64`
4×	`mul0-rgt_binary64` `mul0-lft_binary64`
2×	`+-lft-identity_binary64`
1×	`1-exp_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` `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` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	46	36
2	124	36
3	259	36
4	373	36
5	571	36
6	1299	36
7	2252	36
8	3840	36
9	4270	36
10	4338	36
11	4785	36
12	4903	36
13	4977	36
14	4830	36
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample20.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 29 to 29 computations (0% saved)

simplify147.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

326×	`associate-/l*_binary64`
318×	`cancel-sign-sub-inv_binary64`
290×	`distribute-rgt-neg-in_binary64`
248×	`distribute-rgt-in_binary64`
231×	`unsub-neg_binary64`
221×	`div-sub_binary64`
205×	`distribute-lft-in_binary64`
173×	`associate-/l/_binary64`
159×	`sub-neg_binary64`
134×	`distribute-neg-frac_binary64`
127×	`times-frac_binary64`
119×	`distribute-lft-neg-out_binary64`
117×	`associate-/r*_binary64`
110×	`distribute-lft-neg-in_binary64`
108×	`associate--r+_binary64`
104×	`associate-/r/_binary64`
102×	`associate-l_binary64`
99×	`associate-r_binary64`
90×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64`
82×	`neg-mul-1_binary64`
79×	`neg-sub0_binary64`
78×	`distribute-rgt-out_binary64`
77×	`distribute-neg-in_binary64`
60×	`*-commutative_binary64`
55×	`associate-*l/_binary64`
48×	`associate-+l-_binary64`
40×	`associate-*r/_binary64`
38×	`mul0-rgt_binary64`
37×	`mul0-lft_binary64`
36×	`remove-double-neg_binary64`
34×	`associate--r-_binary64`
32×	`*-rgt-identity_binary64` `+-commutative_binary64`
31×	`associate--l+_binary64`
28×	`distribute-lft-out_binary64`
23×	`*-lft-identity_binary64` `distribute-lft-out--_binary64`
20×	`associate-+l+_binary64`
18×	`sub0-neg_binary64`
17×	`associate-+r+_binary64`
15×	`div0_binary64`
11×	`distribute-neg-out_binary64` `distribute-rgt1-in_binary64`
9×	`associate-+r-_binary64`
8×	`+-rgt-identity_binary64`
6×	`/-rgt-identity_binary64` `associate--l-_binary64`
4×	`+-lft-identity_binary64`
3×	`--rgt-identity_binary64`
2×	`mul-1-neg_binary64`
1×	`1-exp_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` `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` `*-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` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	28	18
2	68	18
3	137	18
4	197	18
5	297	18
6	671	18
7	1065	18
8	1544	18
9	1657	18
10	1839	18
11	1771	18
12	1745	18
13	1745	18
14	1943	18
15	1776	18
16	1776	18
17	1776	18
18	1583	18

prune7.0ms (0.2%)

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

0.3b

Counts

2 → 2

Compiler

Compiled 38 to 35 computations (7.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (/.f64 1 (*.f64 x 9)))
0.2b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
0.3b	(*.f64 3 (sqrt.f64 x))
0.5b	(/.f64 1 (*.f64 x 9))

rewrite159.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`*-un-lft-identity_binary64`
22×	`add-exp-log_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
15×	`associate-r_binary64`
14×	`pow1_binary64`
12×	`add-cube-cbrt_binary64`
7×	`prod-exp_binary64`
6×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
4×	`div-exp_binary64` `sqrt-prod_binary64` `associate-l_binary64` `distribute-lft-out_binary64`
3×	`times-frac_binary64` `div-inv_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
2×	`pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `-commutative_binary64` `sub-neg_binary64` `associate--l+_binary64` `associate-r/_binary64` `difference-of-squares_binary64`
1×	`inv-pow_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-sqr-1_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

13.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
5.0ms	(+.f64 y (/.f64 1 (*.f64 x 9)))
5.0ms	(*.f64 3 (sqrt.f64 x))
4.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 1850 to 1376 computations (25.6% saved)

series78.0ms (1.9%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

32.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
22.0ms	(+.f64 y (/.f64 1 (*.f64 x 9)))
9.0ms	(*.f64 3 (sqrt.f64 x))
6.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 724 to 639 computations (11.7% saved)

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

612×	`times-frac_binary64`
458×	`distribute-rgt-in_binary64`
427×	`distribute-lft-in_binary64`
312×	`associate-/l*_binary64`
192×	`associate-l_binary64`
156×	`associate-/l/_binary64`
147×	`associate-r_binary64`
120×	`*-commutative_binary64`
57×	`cancel-sign-sub-inv_binary64`
54×	`distribute-rgt-neg-in_binary64`
49×	`associate-/r/_binary64`
46×	`sub-neg_binary64`
40×	`distribute-lft-neg-in_binary64`
39×	`associate-/r*_binary64`
38×	`log-prod_binary64`
36×	`swap-sqr_binary64` `distribute-neg-frac_binary64`
34×	`cube-prod_binary64`
31×	`+-commutative_binary64`
30×	`associate-*l/_binary64`
28×	`sqr-pow_binary64`
24×	`unsub-neg_binary64` `distribute-rgt-out_binary64`
23×	`associate-*r/_binary64`
22×	`exp-prod_binary64`
20×	`neg-sub0_binary64` `*-rgt-identity_binary64`
19×	`neg-mul-1_binary64`
18×	`log-div_binary64` `cube-div_binary64`
17×	`*-lft-identity_binary64`
16×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
15×	`distribute-rgt-out--_binary64`
11×	`associate-+l+_binary64`
9×	`associate--l+_binary64`
8×	`unpow3_binary64` `exp-sum_binary64` `unswap-sqr_binary64`
7×	`cube-mult_binary64` `associate-+r-_binary64`
6×	`mul-1-neg_binary64` `distribute-neg-in_binary64` `associate-+r+_binary64`
5×	`cube-unmult_binary64` `distribute-lft-out_binary64`
4×	`pow-sqr_binary64` `associate--r+_binary64`
3×	`div-sub_binary64` `count-2_binary64`
2×	`log-rec_binary64` `pow-plus_binary64` `exp-lft-cube_binary64` `rem-sqrt-square_binary64` `+-lft-identity_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64`
1×	`prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `+-rgt-identity_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

126 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1725
1	411	1423
2	1313	1421
3	4922	1421

prune67.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	80	9	89
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	81	10	91

Error

0.0b

Counts

91 → 10

Compiler

Compiled 1017 to 764 computations (24.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (sqrt.f64 x) (+.f64 y -1))
0.1b	(sqrt.f64 (/.f64 1 x))
0.3b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
0.4b	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))

rewrite193.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`add-sqr-sqrt_binary64`
33×	`sqrt-prod_binary64`
28×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
22×	`times-frac_binary64` `associate-r_binary64`
15×	`pow1_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-l_binary64`
7×	`associate-*r/_binary64`
6×	`unswap-sqr_binary64`
5×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
4×	`add-log-exp_binary64`
3×	`*-commutative_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
2×	`sqrt-div_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64`
1×	`pow1/2_binary64` `inv-pow_binary64` `pow-flip_binary64` `difference-of-sqr--1_binary64` `distribute-lft-out_binary64`

Counts

4 → 115

Calls

4 calls:

8.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
7.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
7.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
3.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 2208 to 1625 computations (26.4% saved)

series72.0ms (1.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

25.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
23.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
10.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
7.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 859 to 730 computations (15% saved)

simplify109.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

451×	`distribute-rgt-in_binary64`
433×	`distribute-lft-in_binary64`
362×	`times-frac_binary64`
307×	`*-commutative_binary64`
254×	`+-commutative_binary64`
233×	`associate-+l+_binary64`
216×	`associate-+r+_binary64`
172×	`neg-mul-1_binary64`
149×	`associate-/l*_binary64`
128×	`associate-l_binary64`
120×	`associate-r_binary64`
114×	`distribute-lft-neg-out_binary64`
113×	`distribute-rgt-neg-out_binary64`
104×	`associate-/r*_binary64`
76×	`sqr-pow_binary64`
73×	`exp-prod_binary64`
68×	`associate-*l/_binary64`
60×	`associate-*r/_binary64`
58×	`unsub-neg_binary64` `distribute-neg-in_binary64`
45×	`sub-neg_binary64`
42×	`cube-prod_binary64`
41×	`associate-/l/_binary64`
38×	`cancel-sign-sub-inv_binary64`
37×	`swap-sqr_binary64`
35×	`exp-sum_binary64` `mul-1-neg_binary64`
32×	`neg-sub0_binary64`
31×	`*-rgt-identity_binary64`
30×	`*-lft-identity_binary64` `associate-/r/_binary64`
29×	`div-sub_binary64`
27×	`log-prod_binary64` `distribute-rgt-neg-in_binary64`
25×	`distribute-lft-neg-in_binary64` `associate-+r-_binary64`
21×	`associate--r+_binary64` `associate-+l-_binary64`
18×	`distribute-rgt-out_binary64`
15×	`distribute-rgt-out--_binary64`
14×	`unpow3_binary64` `exp-diff_binary64` `pow-sqr_binary64` `unswap-sqr_binary64`
13×	`cube-mult_binary64`
10×	`prod-exp_binary64`
9×	`+-rgt-identity_binary64`
8×	`rem-sqrt-square_binary64` `/-rgt-identity_binary64`
7×	`unpow1/2_binary64` `cube-unmult_binary64` `cube-div_binary64`
6×	`exp-lft-cube_binary64` `sub0-neg_binary64`
5×	`sqr-neg_binary64` `associate--l+_binary64`
4×	`pow-plus_binary64` `distribute-lft-out--_binary64`
3×	`cube-neg_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64`
2×	`log-div_binary64` `rem-square-sqrt_binary64` `div0_binary64` `difference-of-sqr--1_binary64` `distribute-neg-frac_binary64`
1×	`log-rec_binary64` `unpow1/3_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64` `count-2_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` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`

Counts

139 → 86

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	1662
1	369	1548
2	1018	1541
3	2451	1541
4	4345	1541
5	4981	1541

prune76.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	86	10	96

Error

0.0b

Counts

96 → 10

Compiler

Compiled 1166 to 871 computations (25.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -3 (*.f64 3 y))
0.1b	(sqrt.f64 (/.f64 1 x))
0.3b	(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
0.4b	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))

rewrite175.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`add-sqr-sqrt_binary64`
33×	`sqrt-prod_binary64`
25×	`*-un-lft-identity_binary64`
23×	`add-cube-cbrt_binary64`
22×	`times-frac_binary64`
19×	`associate-r_binary64`
10×	`pow1_binary64`
9×	`associate-l_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`associate-*r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
2×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-div_binary64` `div-inv_binary64` `*-commutative_binary64` `flip3-+_binary64` `flip-+_binary64`
1×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `pow1/2_binary64` `inv-pow_binary64` `pow-flip_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

8.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
6.0ms	(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
3.0ms	(sqrt.f64 (/.f64 1 x))
2.0ms	(+.f64 -3 (*.f64 3 y))

Compiler

Compiled 1991 to 1494 computations (25% saved)

series61.0ms (1.4%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

26.0ms	(.f64 (sqrt.f64 x) (+.f64 -3 (.f64 3 y)))
12.0ms	(+.f64 -3 (*.f64 3 y))
9.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
7.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 725 to 631 computations (13% saved)

simplify104.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

791×	`unsub-neg_binary64`
536×	`associate-l_binary64`
414×	`associate-r_binary64`
226×	`times-frac_binary64`
211×	`distribute-rgt-in_binary64`
210×	`neg-sub0_binary64`
202×	`distribute-lft-in_binary64`
200×	`neg-mul-1_binary64`
176×	`distribute-rgt-out_binary64`
161×	`*-commutative_binary64`
149×	`associate-/l*_binary64`
130×	`associate-+l+_binary64`
115×	`associate-+r+_binary64`
101×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
96×	`distribute-lft-out_binary64`
93×	`associate-/r*_binary64`
72×	`associate-*l/_binary64`
67×	`exp-prod_binary64`
61×	`cancel-sign-sub-inv_binary64`
59×	`sqr-pow_binary64`
57×	`associate-*r/_binary64` `+-commutative_binary64`
49×	`distribute-rgt-neg-in_binary64`
42×	`sub-neg_binary64`
39×	`distribute-lft-neg-in_binary64`
36×	`associate-/l/_binary64`
33×	`cube-prod_binary64` `*-rgt-identity_binary64`
32×	`distribute-rgt-out--_binary64`
31×	`*-lft-identity_binary64` `swap-sqr_binary64`
30×	`log-prod_binary64`
28×	`associate-/r/_binary64`
22×	`div-sub_binary64`
21×	`exp-sum_binary64`
20×	`associate-+l-_binary64`
16×	`unswap-sqr_binary64`
13×	`exp-diff_binary64` `associate-+r-_binary64`
12×	`unpow3_binary64`
11×	`cube-mult_binary64`
8×	`cube-unmult_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64`
7×	`prod-exp_binary64` `rem-sqrt-square_binary64`
6×	`distribute-lft1-in_binary64` `distribute-lft-out--_binary64`
5×	`exp-lft-cube_binary64` `sub0-neg_binary64`
4×	`unpow1/2_binary64` `sqr-neg_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64`
3×	`pow-plus_binary64` `remove-double-neg_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`
2×	`log-div_binary64` `div-exp_binary64` `cube-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `distribute-neg-in_binary64`
1×	`log-rec_binary64` `unpow1/3_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_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` `pow-base-0_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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`

Counts

121 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1478
1	338	1367
2	852	1363
3	2233	1363
4	4084	1363
5	5335	1363

prune70.0ms (1.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	66	9	75

Error

Counts

75 → 9

Compiler

Compiled 986 to 733 computations (25.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))))
0.1b	(*.f64 (sqrt.f64 x) (+.f64 y -1))
0.3b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
0.3b	(/.f64 1/3 (sqrt.f64 x))

rewrite170.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
23×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`
16×	`sqrt-prod_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64`
10×	`associate-*r/_binary64`
9×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l_binary64`
6×	`add-log-exp_binary64` `associate-/r_binary64` `associate-r*_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+r+_binary64`
3×	`associate-/l*_binary64`
2×	`*-commutative_binary64` `unswap-sqr_binary64` `frac-add_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `difference-of-sqr--1_binary64` `distribute-lft-out_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 108

Calls

4 calls:

10.0ms	(+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))))
7.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
7.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
4.0ms	(/.f64 1/3 (sqrt.f64 x))

Compiler

Compiled 2022 to 1277 computations (36.8% saved)

series103.0ms (2.4%)

Error

Counts

4 → 30

Calls

4 calls:

36.0ms	(+.f64 (/.f64 1/3 (sqrt.f64 x)) (.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1))))
25.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
23.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
7.0ms	(/.f64 1/3 (sqrt.f64 x))

Compiler

Compiled 969 to 778 computations (19.7% saved)

simplify109.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

757×	`distribute-rgt-in_binary64`
717×	`distribute-lft-in_binary64`
153×	`associate-r_binary64`
145×	`associate-l_binary64`
105×	`cancel-sign-sub-inv_binary64`
102×	`times-frac_binary64`
100×	`associate-/l*_binary64`
99×	`exp-prod_binary64`
97×	`*-commutative_binary64`
77×	`distribute-rgt-neg-in_binary64`
69×	`distribute-lft-neg-in_binary64`
66×	`log-prod_binary64`
61×	`exp-sum_binary64`
47×	`distribute-rgt-out_binary64`
46×	`log-div_binary64`
45×	`sub-neg_binary64` `distribute-lft-neg-out_binary64`
36×	`+-commutative_binary64`
35×	`distribute-rgt-neg-out_binary64`
33×	`associate-/l/_binary64`
28×	`distribute-neg-in_binary64`
25×	`*-rgt-identity_binary64` `sqr-pow_binary64`
24×	`cube-prod_binary64`
23×	`neg-sub0_binary64` `associate-/r*_binary64`
20×	`swap-sqr_binary64`
19×	`*-lft-identity_binary64`
18×	`neg-mul-1_binary64` `distribute-rgt-out--_binary64`
17×	`unsub-neg_binary64`
16×	`exp-diff_binary64`
15×	`unpow3_binary64`
14×	`associate-/r/_binary64`
12×	`associate-*l/_binary64`
11×	`mul-1-neg_binary64` `associate-*r/_binary64`
10×	`exp-lft-cube_binary64`
9×	`div-sub_binary64`
8×	`/-rgt-identity_binary64`
7×	`distribute-neg-frac_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64`
6×	`distribute-lft-out--_binary64` `associate-+r-_binary64`
5×	`exp-neg_binary64` `cube-mult_binary64` `associate--l+_binary64` `associate-+r+_binary64`
4×	`log-rec_binary64`
3×	`associate-+l-_binary64`
2×	`prod-exp_binary64` `cube-unmult_binary64` `cube-div_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `distribute-lft1-in_binary64`
1×	`unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `lft-mult-inverse_binary64` `difference-of-squares_binary64` `associate--r-_binary64` `associate--l-_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` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_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` `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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `count-2_binary64`

Counts

138 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	2051
1	467	1972
2	1406	1920
3	4725	1920
4	5005	1920

prune71.0ms (1.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	89	9	98

Error

Counts

98 → 9

Compiler

Compiled 955 to 618 computations (35.3% saved)

regimes1.3s (29.8%)

Accuracy

Total 0.4b remaining (92.2%)

Threshold costs 0.4b (92.2%)

Compiler

Compiled 13708 to 11891 computations (13.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_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 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-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	12	20
1	16	20
2	16	20

end1.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

sample843.0ms (19.9%)

Algorithm

1×

intervals

Results

349.0ms	8000×	body	128	valid
5.0ms	116×	body	128	nan
3.0ms	78×	body	128	invalid

Compiler

Compiled 253 to 224 computations (11.5% saved)

Details

analyze226.0ms (5.3%)

sample20.0ms (0.5%)

simplify147.0ms (3.5%)

prune7.0ms (0.2%)

localize9.0ms (0.2%)

rewrite159.0ms (3.8%)

series78.0ms (1.9%)

simplify65.0ms (1.5%)

prune67.0ms (1.6%)

localize11.0ms (0.2%)

rewrite193.0ms (4.6%)

series72.0ms (1.7%)

simplify109.0ms (2.6%)

prune76.0ms (1.8%)

localize13.0ms (0.3%)

rewrite175.0ms (4.1%)

series61.0ms (1.4%)

simplify104.0ms (2.5%)

prune70.0ms (1.7%)

localize8.0ms (0.2%)

rewrite170.0ms (4%)

series103.0ms (2.4%)

simplify109.0ms (2.6%)

prune71.0ms (1.7%)

regimes1.3s (29.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample843.0ms (19.9%)

Profiling