Details

analyze694.0ms (10.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

672×	`neg-mul-1_binary64`
661×	`associate-/l*_binary64`
602×	`div-sub_binary64`
582×	`sub-neg_binary64`
559×	`neg-sub0_binary64`
522×	`associate-/r*_binary64`
472×	`distribute-neg-frac_binary64`
307×	`distribute-rgt-neg-in_binary64`
294×	`remove-double-neg_binary64`
276×	`cancel-sign-sub-inv_binary64`
274×	`unsub-neg_binary64`
264×	`distribute-rgt-neg-out_binary64`
246×	`distribute-lft-neg-out_binary64`
207×	`distribute-frac-neg_binary64`
193×	`distribute-rgt-in_binary64`
138×	`distribute-neg-in_binary64`
132×	`associate-*l/_binary64`
120×	`times-frac_binary64` `associate-/r/_binary64` `+-commutative_binary64`
116×	`associate--r+_binary64`
103×	`cancel-sign-sub_binary64`
89×	`distribute-lft-in_binary64`
83×	`associate-+l-_binary64`
80×	`associate-/l/_binary64`
77×	`*-commutative_binary64`
74×	`sub0-neg_binary64`
64×	`distribute-lft-neg-in_binary64`
59×	`*-lft-identity_binary64`
51×	`/-rgt-identity_binary64`
48×	`distribute-neg-out_binary64`
46×	`+-lft-identity_binary64`
45×	`associate--r-_binary64`
44×	`associate-+r-_binary64`
42×	`associate-+r+_binary64`
39×	`associate-*r/_binary64`
36×	`+-rgt-identity_binary64` `distribute-lft-out_binary64` `associate--l-_binary64`
35×	`distribute-lft-out--_binary64`
33×	`div0_binary64`
28×	`--rgt-identity_binary64`
24×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-out--_binary64`
23×	`associate-r_binary64`
22×	`associate--l+_binary64`
19×	`*-rgt-identity_binary64`
16×	`distribute-rgt-out_binary64`
15×	`associate-l_binary64` `associate-+l+_binary64`
11×	`remove-double-div_binary64`
6×	`swap-sqr_binary64`
3×	`sqr-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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	139	224
2	334	224
3	735	216
4	1181	216
5	2045	216
6	4000	216
7	4200	216
8	4338	216
9	4371	216
10	4409	216
11	4447	216
12	4751	216
13	4943	216
14	4879	216
0	3	3
1	3	3

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
18.7%	81.1%	0.1%	6
26.5%	67.1%	6.4%	7
35.1%	58.5%	6.4%	8
41.3%	49.9%	8.7%	9
46.4%	40.2%	13.4%	10
50.8%	34.2%	15%	11
55.2%	26.7%	18.1%	12
57.4%	22%	20.6%	13
59.8%	17.9%	22.3%	14

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample35.0ms (0.5%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
2.0ms	23×	body	128	nan
1.0ms	11×	body	128	invalid

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify473.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

1235×	`div-sub_binary64`
1049×	`associate-/r*_binary64`
840×	`sub-neg_binary64`
758×	`distribute-neg-frac_binary64`
747×	`distribute-rgt-in_binary64`
535×	`distribute-lft-in_binary64`
512×	`times-frac_binary64`
482×	`unsub-neg_binary64`
476×	`associate-/l/_binary64`
440×	`cancel-sign-sub-inv_binary64`
433×	`*-commutative_binary64`
430×	`associate-/l*_binary64`
335×	`associate-/r/_binary64`
316×	`distribute-rgt-neg-in_binary64`
299×	`neg-mul-1_binary64`
285×	`associate-*l/_binary64`
264×	`distribute-lft-neg-in_binary64`
225×	`neg-sub0_binary64`
193×	`associate--r+_binary64`
168×	`+-commutative_binary64`
143×	`distribute-rgt-neg-out_binary64`
120×	`distribute-frac-neg_binary64`
116×	`distribute-lft-neg-out_binary64`
113×	`div0_binary64`
102×	`distribute-neg-in_binary64`
100×	`distribute-rgt-out_binary64`
99×	`*-lft-identity_binary64`
86×	`mul0-rgt_binary64`
84×	`mul0-lft_binary64`
79×	`distribute-rgt-out--_binary64`
56×	`associate-r_binary64`
53×	`+-lft-identity_binary64`
52×	`associate-*r/_binary64`
48×	`associate-l_binary64`
41×	`associate--l-_binary64`
40×	`remove-double-div_binary64`
38×	`/-rgt-identity_binary64`
37×	`remove-double-neg_binary64`
36×	`associate--l+_binary64`
33×	`distribute-neg-out_binary64`
28×	`associate-+l-_binary64`
26×	`*-rgt-identity_binary64`
24×	`associate--r-_binary64`
23×	`sub0-neg_binary64`
20×	`associate-+r-_binary64`
11×	`associate-+r+_binary64`
8×	`associate-+l+_binary64`
7×	`--rgt-identity_binary64`
6×	`distribute-lft-out_binary64`
5×	`+-rgt-identity_binary64`
4×	`cancel-sign-sub_binary64`
2×	`mul-1-neg_binary64` `swap-sqr_binary64`
1×	`1-exp_binary64` `sqr-neg_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-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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	46	56
2	115	56
3	254	54
4	390	54
5	634	54
6	1094	54
7	1295	54
8	1565	54
9	2094	54
10	3307	54
11	2764	54
12	2816	54
13	2784	54
14	2798	54
15	3066	54
16	3176	54
17	3214	54
18	3234	54
19	3236	54
20	3236	54
21	3756	54
22	3974	54
23	4072	54
24	4090	54
25	3986	54
26	3986	54
27	4234	54
28	4178	54
29	4406	54
30	4558	54
31	4634	54
32	4666	54
33	4754	54
34	4834	54
35	4930	54
36	4687	54

prune4.0ms (0.1%)

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

17.3b

Counts

2 → 1

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
21.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
21.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite141.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

17.2b

Rules

13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64` `sqrt-prod_binary64`
6×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

9.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2594 to 1526 computations (41.2% saved)

series252.0ms (3.8%)

Error

3.9b

Counts

4 → 68

Calls

4 calls:

55.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
52.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
49.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
49.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))

Compiler

Compiled 5260 to 3763 computations (28.5% saved)

simplify108.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

666×	`times-frac_binary64`
320×	`associate-/l*_binary64`
300×	`associate-/r*_binary64`
251×	`*-commutative_binary64`
205×	`cancel-sign-sub-inv_binary64`
148×	`distribute-rgt-neg-in_binary64`
142×	`neg-mul-1_binary64`
140×	`neg-sub0_binary64`
132×	`distribute-lft-neg-in_binary64`
97×	`distribute-rgt-in_binary64`
94×	`associate-*l/_binary64`
92×	`sub-neg_binary64`
90×	`div-sub_binary64` `unsub-neg_binary64`
82×	`distribute-lft-in_binary64`
81×	`associate-+l+_binary64`
77×	`associate-r_binary64`
73×	`associate-*r/_binary64`
62×	`associate-+r+_binary64`
58×	`unswap-sqr_binary64` `+-commutative_binary64`
57×	`associate-l_binary64`
53×	`associate-/r/_binary64`
51×	`associate-+l-_binary64`
46×	`cube-prod_binary64`
43×	`sqr-pow_binary64` `associate--l+_binary64`
42×	`associate-+r-_binary64`
32×	`distribute-neg-frac_binary64`
29×	`distribute-rgt-out_binary64`
22×	`exp-prod_binary64` `associate--r+_binary64`
20×	`associate-/l/_binary64`
19×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
14×	`unpow3_binary64`
13×	`exp-sum_binary64` `distribute-lft-out_binary64`
12×	`swap-sqr_binary64`
11×	`difference-of-squares_binary64`
10×	`cube-mult_binary64` `+-rgt-identity_binary64`
9×	`associate--l-_binary64`
8×	`cube-unmult_binary64` `distribute-rgt-neg-out_binary64`
6×	`pow-plus_binary64` `exp-diff_binary64` `rem-sqrt-square_binary64`
5×	`distribute-rgt-out--_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `associate--r-_binary64`
2×	`sqr-neg_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `fabs-mul_binary64` `remove-double-neg_binary64` `+-inverses_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` `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` `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-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `mul-1-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

127 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	2494
1	407	2399
2	1193	2360
3	4520	2360
4	4956	2360

prune112.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	84	6	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	6	91

Error

3.8b

Counts

91 → 6

Compiler

Compiled 2924 to 1710 computations (41.5% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

6.6b	(-.f64 (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
21.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
21.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
21.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite163.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

3.8b

Rules

12×	`add-sqr-sqrt_binary64`
9×	`sqrt-prod_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `sqrt-div_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `cancel-sign-sub-inv_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `difference-of-squares_binary64`

Counts

4 → 60

Calls

4 calls:

16.0ms	(-.f64 (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3566 to 1967 computations (44.8% saved)

series235.0ms (3.5%)

Error

3.8b

Counts

4 → 54

Calls

4 calls:

55.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
53.0ms	(-.f64 (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
39.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
38.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 5608 to 3813 computations (32% saved)

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

609×	`times-frac_binary64`
402×	`distribute-neg-frac_binary64`
264×	`associate-/l*_binary64`
252×	`associate-/r*_binary64`
228×	`*-commutative_binary64`
213×	`unswap-sqr_binary64`
167×	`distribute-rgt-neg-in_binary64`
155×	`distribute-lft-neg-in_binary64`
148×	`cancel-sign-sub-inv_binary64`
142×	`sub-neg_binary64`
129×	`neg-mul-1_binary64`
127×	`neg-sub0_binary64`
84×	`associate-r_binary64`
81×	`associate-*l/_binary64`
79×	`sqr-pow_binary64`
74×	`+-commutative_binary64`
66×	`associate-l_binary64`
63×	`associate-*r/_binary64`
56×	`unsub-neg_binary64`
51×	`distribute-lft-in_binary64`
48×	`distribute-rgt-in_binary64`
39×	`difference-of-squares_binary64` `associate-+l+_binary64`
36×	`distribute-rgt-out_binary64`
35×	`div-sub_binary64` `associate-+r+_binary64`
34×	`associate-/r/_binary64`
31×	`swap-sqr_binary64`
29×	`cube-prod_binary64` `associate-+r-_binary64`
28×	`associate-+l-_binary64`
24×	`exp-prod_binary64`
22×	`+-rgt-identity_binary64`
19×	`associate--l+_binary64`
18×	`exp-sum_binary64` `sub0-neg_binary64`
16×	`unpow3_binary64` `distribute-lft-neg-out_binary64`
12×	`cube-mult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
8×	`pow-plus_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `distribute-lft-out_binary64`
7×	`cube-unmult_binary64` `distribute-rgt-neg-out_binary64`
6×	`exp-diff_binary64`
5×	`rem-square-sqrt_binary64` `associate-/l/_binary64` `associate--r+_binary64`
4×	`distribute-neg-in_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cancel-sign-sub_binary64`
2×	`log-prod_binary64` `remove-double-neg_binary64` `distribute-rgt-out--_binary64` `associate--l-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `fabs-mul_binary64` `sqr-neg_binary64` `*-lft-identity_binary64` `--rgt-identity_binary64` `+-inverses_binary64` `distribute-neg-out_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` `log-rec_binary64` `log-div_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` `rec-exp_binary64` `prod-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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `+-lft-identity_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`

Counts

114 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1947
1	341	1904
2	1017	1901
3	3808	1889
4	5096	1889

prune105.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	65	6	71

Error

3.8b

Counts

71 → 6

Compiler

Compiled 2771 to 1606 computations (42% saved)

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

21.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
21.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
21.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
21.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite154.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

3.8b

Rules

12×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64` `sqrt-div_binary64` `*-un-lft-identity_binary64`
4×	`pow1/2_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `rem-sqrt-square_binary64`

Counts

4 → 60

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 4044 to 2198 computations (45.6% saved)

series290.0ms (4.3%)

Error

3.8b

Counts

4 → 65

Calls

4 calls:

65.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
55.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
53.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
52.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 8208 to 5258 computations (35.9% saved)

simplify98.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

618×	`times-frac_binary64`
427×	`distribute-neg-frac_binary64`
320×	`associate-/l*_binary64`
310×	`unswap-sqr_binary64`
278×	`associate-/r*_binary64`
227×	`*-commutative_binary64`
172×	`distribute-rgt-neg-in_binary64`
165×	`cancel-sign-sub-inv_binary64`
164×	`distribute-lft-neg-in_binary64`
128×	`neg-sub0_binary64`
127×	`neg-mul-1_binary64`
108×	`sub-neg_binary64`
84×	`associate-r_binary64`
76×	`associate-*l/_binary64`
70×	`associate-*r/_binary64`
64×	`associate-l_binary64`
60×	`sqr-pow_binary64`
51×	`associate-/r/_binary64`
42×	`+-commutative_binary64`
36×	`unsub-neg_binary64`
29×	`distribute-rgt-out_binary64`
25×	`div-sub_binary64` `distribute-rgt-in_binary64`
23×	`difference-of-squares_binary64`
22×	`cube-prod_binary64`
20×	`distribute-lft-in_binary64` `associate-/l/_binary64` `associate-+l+_binary64`
19×	`associate--l+_binary64`
16×	`associate-+r+_binary64`
15×	`associate--r+_binary64` `associate-+l-_binary64`
14×	`distribute-neg-in_binary64` `associate-+r-_binary64`
13×	`unpow3_binary64` `swap-sqr_binary64`
12×	`+-rgt-identity_binary64`
11×	`sub0-neg_binary64` `distribute-lft-neg-out_binary64`
10×	`cube-mult_binary64`
7×	`rem-sqrt-square_binary64` `distribute-lft-out_binary64`
6×	`pow-plus_binary64` `cube-unmult_binary64`
5×	`mul0-rgt_binary64` `mul0-lft_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `distribute-rgt-neg-out_binary64`
2×	`associate--l-_binary64`
1×	`1-exp_binary64` `mul-1-neg_binary64` `cancel-sign-sub_binary64` `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` `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` `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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_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`

Counts

125 → 61

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	2344
1	270	2278
2	907	2278
3	3702	2278
4	5106	2278

prune114.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	61	6	67

Error

3.8b

Counts

67 → 6

Compiler

Compiled 3548 to 2033 computations (42.7% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b))
0.2b	(.f64 -1/2 (/.f64 (.f64 b 2) a))
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
21.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite189.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

3.8b

Rules

26×	`add-sqr-sqrt_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
7×	`pow1_binary64` `associate-r_binary64`
6×	`add-log-exp_binary64` `sqrt-prod_binary64` `difference-of-squares_binary64` `associate-/r*_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64`
3×	`flip3--_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-out--_binary64` `associate-l_binary64`
2×	`sqrt-div_binary64` `div-inv_binary64` `associate-/r/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64`

Counts

4 → 88

Calls

4 calls:

11.0ms	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
7.0ms	(.f64 -1/2 (/.f64 (.f64 b 2) a))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3032 to 1922 computations (36.6% saved)

series197.0ms (2.9%)

Error

3.8b

Counts

4 → 52

Calls

4 calls:

54.0ms	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b))
49.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
47.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
17.0ms	(.f64 -1/2 (/.f64 (.f64 b 2) a))

Compiler

Compiled 3049 to 2330 computations (23.6% saved)

simplify119.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

567×	`associate-/r*_binary64`
349×	`associate-/l/_binary64`
315×	`associate-/r/_binary64`
166×	`cancel-sign-sub-inv_binary64`
143×	`distribute-rgt-neg-in_binary64`
137×	`associate-/l*_binary64`
129×	`distribute-lft-neg-in_binary64`
121×	`associate-l_binary64` `associate-r_binary64`
105×	`times-frac_binary64`
100×	`*-commutative_binary64`
95×	`sub-neg_binary64`
83×	`log-prod_binary64`
80×	`associate-*l/_binary64`
78×	`associate-*r/_binary64`
66×	`unswap-sqr_binary64`
65×	`exp-prod_binary64`
64×	`distribute-rgt-in_binary64`
60×	`cube-div_binary64`
58×	`log-div_binary64`
56×	`distribute-lft-in_binary64`
47×	`+-commutative_binary64`
46×	`neg-mul-1_binary64` `neg-sub0_binary64` `sqr-pow_binary64`
42×	`distribute-neg-frac_binary64`
39×	`div-sub_binary64`
30×	`distribute-rgt-out_binary64`
28×	`unpow3_binary64`
27×	`distribute-lft-neg-out_binary64`
24×	`cube-prod_binary64` `*-rgt-identity_binary64`
22×	`cube-mult_binary64` `swap-sqr_binary64`
19×	`distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`
14×	`exp-sum_binary64`
13×	`cube-unmult_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64`
12×	`associate-+r-_binary64`
11×	`associate--r+_binary64`
10×	`unsub-neg_binary64` `difference-of-squares_binary64` `associate-+r+_binary64`
9×	`+-rgt-identity_binary64` `associate--l+_binary64`
8×	`exp-diff_binary64`
7×	`log-pow_binary64` `distribute-frac-neg_binary64`
6×	`pow-plus_binary64` `exp-lft-sqr_binary64`
5×	`rem-sqrt-square_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
3×	`prod-exp_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64`
2×	`mul-1-neg_binary64` `pow-sqr_binary64`
1×	`log-rec_binary64` `div-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `div0_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-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` `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-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` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `-lft-identity_binary64` `sub0-neg_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-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

140 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	237	2922
1	591	2578
2	2046	2566
3	4745	2566
4	4946	2566

prune120.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	1	2	3
Picked	1	0	1
Done	1	1	2
Total	111	8	119

Error

3.8b

Counts

119 → 8

Compiler

Compiled 2396 to 1409 computations (41.2% saved)

regimes1.4s (20.5%)

Accuracy

Total 1.8b remaining (25.5%)

Threshold costs 0b (0%)

Compiler

Compiled 16175 to 11712 computations (27.6% saved)

bsearch11.0ms (0.2%)

Compiler: Compiled 38 to 26 computations (31.6% saved)

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
13×	`+-commutative_binary64`
11×	`sub-neg_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-rgt-neg-in_binary64`
3×	`distribute-lft-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-neg-out_binary64`
1×	`1-exp_binary64` `unsub-neg_binary64` `distribute-frac-neg_binary64` `distribute-lft-neg-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` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	446
1	76	446
2	98	446
3	115	446
4	126	446
5	131	446
6	132	446
7	129	446

end5.0ms (0.1%)

Compiler: Compiled 297 to 187 computations (37% saved)

sample1.5s (22.1%)

Algorithm

1×

intervals

Results

682.0ms	8000×	body	128	valid
52.0ms	668×	body	128	nan
36.0ms	416×	body	128	invalid

Compiler

Compiled 631 to 438 computations (30.6% saved)

Details

analyze694.0ms (10.4%)

sample35.0ms (0.5%)

simplify473.0ms (7.1%)

prune4.0ms (0.1%)

localize23.0ms (0.3%)

rewrite141.0ms (2.1%)

series252.0ms (3.8%)

simplify108.0ms (1.6%)

prune112.0ms (1.7%)

localize30.0ms (0.4%)

rewrite163.0ms (2.4%)

series235.0ms (3.5%)

simplify92.0ms (1.4%)

prune105.0ms (1.6%)

localize32.0ms (0.5%)

rewrite154.0ms (2.3%)

series290.0ms (4.3%)

simplify98.0ms (1.5%)

prune114.0ms (1.7%)

localize26.0ms (0.4%)

rewrite189.0ms (2.8%)

series197.0ms (2.9%)

simplify119.0ms (1.8%)

prune120.0ms (1.8%)

regimes1.4s (20.5%)

bsearch11.0ms (0.2%)

simplify18.0ms (0.3%)

end5.0ms (0.1%)

sample1.5s (22.1%)

Profiling