Details

analyze688.0ms (9.1%)

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` `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)

sample34.0ms (0.5%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
1.0ms	15×	body	128	nan
1.0ms	9×	body	128	invalid

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify478.0ms (6.3%)

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` `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%)

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

23.3b

Counts

2 → 1

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
27.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
27.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite161.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

23.3b

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×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64`

Counts

4 → 59

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
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)

series223.0ms (3%)

Error

6.9b

Counts

4 → 60

Calls

4 calls:

54.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
46.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
43.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
42.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 4581 to 3277 computations (28.5% saved)

simplify128.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

746×	`associate-l_binary64`
665×	`associate-r_binary64`
291×	`times-frac_binary64`
175×	`associate-/l*_binary64`
170×	`cancel-sign-sub-inv_binary64`
136×	`associate-/r*_binary64`
124×	`distribute-rgt-neg-in_binary64`
110×	`neg-sub0_binary64`
107×	`distribute-lft-neg-in_binary64`
103×	`sub-neg_binary64`
102×	`neg-mul-1_binary64`
96×	`distribute-rgt-in_binary64`
79×	`distribute-lft-in_binary64`
67×	`sqr-pow_binary64`
63×	`cube-prod_binary64`
59×	`unsub-neg_binary64`
54×	`unswap-sqr_binary64`
53×	`unpow3_binary64`
46×	`*-commutative_binary64`
45×	`+-commutative_binary64`
42×	`associate-/r/_binary64`
41×	`cube-mult_binary64`
38×	`associate-l/_binary64` `associate-r/_binary64`
31×	`distribute-rgt-out_binary64`
27×	`exp-prod_binary64`
20×	`distribute-neg-frac_binary64` `associate-/l/_binary64`
19×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
16×	`pow-plus_binary64`
15×	`cube-unmult_binary64` `distribute-lft-out_binary64`
13×	`associate-+l+_binary64`
12×	`swap-sqr_binary64`
11×	`exp-sum_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-+r-_binary64`
10×	`difference-of-squares_binary64`
9×	`div-sub_binary64` `remove-double-neg_binary64`
8×	`+-rgt-identity_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r+_binary64`
7×	`exp-diff_binary64` `distribute-rgt-neg-out_binary64`
5×	`rem-sqrt-square_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `distribute-lft-out--_binary64`
2×	`unpow1/2_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64` `+-inverses_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `associate--l-_binary64`
1×	`log-prod_binary64` `unpow-1_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_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` `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` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `sub0-neg_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

119 → 82

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	2183
1	338	2073
2	985	2046
3	4603	2046
4	4918	2046
5	4922	2046

prune124.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	70	12	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	12	83

Error

6.8b

Counts

83 → 12

Compiler

Compiled 2945 to 1718 computations (41.7% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
27.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite186.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

6.8b

Rules

24×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
8×	`add-log-exp_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `distribute-lft-out_binary64`
4×	`associate-/l*_binary64`
3×	`sqrt-prod_binary64` `associate-/r*_binary64`
2×	`flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `+-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 72

Calls

4 calls:

8.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2683 to 1483 computations (44.7% saved)

series219.0ms (2.9%)

Error

6.7b

Counts

4 → 60

Calls

4 calls:

48.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
47.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
42.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
38.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3308 to 2474 computations (25.2% saved)

simplify109.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

698×	`associate-l_binary64`
593×	`associate-r_binary64`
376×	`unswap-sqr_binary64`
248×	`times-frac_binary64`
195×	`associate-/l*_binary64`
143×	`associate-/r*_binary64`
141×	`*-commutative_binary64`
128×	`cancel-sign-sub-inv_binary64`
119×	`sub-neg_binary64`
117×	`exp-prod_binary64`
113×	`distribute-rgt-in_binary64`
105×	`distribute-rgt-neg-in_binary64`
104×	`distribute-lft-in_binary64`
96×	`distribute-lft-neg-in_binary64`
91×	`sqr-pow_binary64`
81×	`associate-*l/_binary64`
76×	`neg-sub0_binary64`
66×	`neg-mul-1_binary64`
64×	`associate-*r/_binary64`
60×	`cube-prod_binary64`
58×	`unsub-neg_binary64`
54×	`associate-/r/_binary64`
51×	`associate-/l/_binary64`
47×	`+-commutative_binary64`
36×	`div-sub_binary64`
30×	`exp-sum_binary64`
28×	`distribute-rgt-out_binary64` `associate-+l+_binary64`
27×	`difference-of-squares_binary64`
24×	`associate-+l-_binary64` `associate-+r-_binary64`
23×	`associate-+r+_binary64`
18×	`distribute-lft-neg-out_binary64`
16×	`+-rgt-identity_binary64`
14×	`sub0-neg_binary64`
13×	`pow-plus_binary64` `exp-diff_binary64` `pow-sqr_binary64` `distribute-lft-out_binary64`
12×	`cube-unmult_binary64`
11×	`unpow3_binary64` `distribute-neg-frac_binary64`
10×	`/-rgt-identity_binary64` `swap-sqr_binary64`
9×	`remove-double-neg_binary64` `associate--l+_binary64`
8×	`cube-mult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-neg-out_binary64`
7×	`log-prod_binary64`
6×	`distribute-neg-in_binary64` `associate--l-_binary64`
5×	`unpow2_binary64` `cube-div_binary64` `rem-sqrt-square_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
4×	`log-div_binary64` `associate--r+_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `distribute-rgt-out--_binary64`
2×	`log-pow_binary64` `+-inverses_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `cancel-sign-sub_binary64` `distribute-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` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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

132 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	2636
1	363	2462
2	1016	2444
3	3992	2444
4	5024	2444

prune158.0ms (2.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	96	6	102
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	103	11	114

Error

6.7b

Counts

114 → 11

Compiler

Compiled 2682 to 1469 computations (45.2% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
0.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
27.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite340.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

6.7b

Rules

102×	`times-frac_binary64`
82×	`*-un-lft-identity_binary64`
57×	`add-sqr-sqrt_binary64`
56×	`add-cube-cbrt_binary64`
18×	`associate-/r*_binary64`
15×	`add-exp-log_binary64`
13×	`distribute-lft-out_binary64`
9×	`add-cbrt-cube_binary64` `associate-/r/_binary64`
8×	`add-log-exp_binary64`
7×	`div-exp_binary64`
6×	`pow1_binary64`
5×	`flip3-+_binary64` `flip-+_binary64` `div-inv_binary64`
3×	`sqrt-prod_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64`
2×	`flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `+-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 135

Calls

4 calls:

10.0ms	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
6.0ms	(+.f64 b (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	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 5596 to 3055 computations (45.4% saved)

series220.0ms (2.9%)

Error

6.7b

Counts

4 → 60

Calls

4 calls:

48.0ms	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
47.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
42.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
40.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3507 to 2663 computations (24.1% saved)

simplify208.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

506×	`times-frac_binary64`
346×	`associate-/l*_binary64`
298×	`associate-/r*_binary64`
281×	`associate-/r/_binary64`
266×	`associate-*l/_binary64`
226×	`associate-/l/_binary64`
202×	`associate-*r/_binary64`
200×	`unswap-sqr_binary64`
194×	`distribute-rgt-in_binary64`
183×	`distribute-lft-in_binary64`
147×	`exp-prod_binary64`
128×	`cube-prod_binary64`
107×	`cancel-sign-sub-inv_binary64`
97×	`sqr-pow_binary64`
92×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64`
91×	`neg-sub0_binary64`
90×	`*-commutative_binary64`
83×	`distribute-lft-neg-in_binary64`
79×	`associate-r_binary64`
67×	`sub-neg_binary64`
62×	`*-rgt-identity_binary64`
60×	`associate-l_binary64`
49×	`exp-sum_binary64`
37×	`unsub-neg_binary64`
35×	`unpow3_binary64`
34×	`log-prod_binary64` `cube-div_binary64` `+-commutative_binary64`
33×	`*-lft-identity_binary64`
32×	`distribute-rgt-out_binary64`
30×	`log-div_binary64`
26×	`cube-mult_binary64`
25×	`exp-diff_binary64`
24×	`/-rgt-identity_binary64`
23×	`div-sub_binary64`
15×	`distribute-lft-neg-out_binary64`
14×	`pow-sqr_binary64`
13×	`cube-unmult_binary64` `difference-of-squares_binary64` `swap-sqr_binary64`
12×	`pow-plus_binary64` `distribute-neg-frac_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-+r+_binary64`
8×	`log-rec_binary64`
7×	`unpow2_binary64` `remove-double-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64`
6×	`distribute-neg-in_binary64` `associate-+r-_binary64`
5×	`unpow1/2_binary64` `rem-sqrt-square_binary64`
4×	`unpow1_binary64` `remove-double-div_binary64` `associate-+l+_binary64`
3×	`log-pow_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate--r+_binary64`
2×	`prod-exp_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `+-inverses_binary64` `distribute-lft-out--_binary64` `associate-+l-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `cancel-sign-sub_binary64` `distribute-neg-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` `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-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` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

195 → 139

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	5410
1	506	5029
2	1553	4930
3	4141	4930
4	4761	4930
5	4920	4930

prune165.0ms (2.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	140	10	150

Error

6.7b

Counts

150 → 10

Compiler

Compiled 3199 to 1778 computations (44.4% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
27.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
27.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite152.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

6.7b

Rules

10×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

4 → 54

Calls

4 calls:

6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
6.0ms	(+.f64 b (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))))

Compiler

Compiled 2766 to 1431 computations (48.3% saved)

series240.0ms (3.2%)

Error

6.7b

Counts

4 → 56

Calls

4 calls:

48.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
47.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
45.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
44.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 5184 to 3592 computations (30.7% saved)

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

756×	`distribute-rgt-in_binary64`
421×	`distribute-rgt-neg-in_binary64`
404×	`associate-l_binary64`
400×	`cancel-sign-sub-inv_binary64`
387×	`distribute-lft-neg-in_binary64`
352×	`associate-r_binary64`
162×	`unswap-sqr_binary64`
138×	`times-frac_binary64`
100×	`associate-/l*_binary64`
99×	`*-commutative_binary64`
88×	`sub-neg_binary64`
83×	`distribute-rgt-out_binary64`
81×	`distribute-lft-neg-out_binary64`
78×	`distribute-rgt-neg-out_binary64`
59×	`neg-sub0_binary64`
54×	`neg-mul-1_binary64` `associate-/r*_binary64`
48×	`distribute-lft-in_binary64`
46×	`cube-prod_binary64`
42×	`sqr-pow_binary64`
38×	`+-commutative_binary64`
37×	`distribute-lft-out_binary64`
31×	`distribute-neg-in_binary64`
30×	`unsub-neg_binary64`
27×	`swap-sqr_binary64`
26×	`associate-+l+_binary64`
24×	`associate-*l/_binary64`
22×	`associate-*r/_binary64`
21×	`associate-/r/_binary64`
20×	`associate-+r+_binary64`
18×	`associate-+l-_binary64` `associate-+r-_binary64`
14×	`distribute-neg-frac_binary64`
13×	`difference-of-squares_binary64`
12×	`+-rgt-identity_binary64`
11×	`unpow3_binary64`
10×	`sub0-neg_binary64`
9×	`cube-mult_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64`
8×	`pow-plus_binary64` `cube-unmult_binary64`
7×	`remove-double-neg_binary64`
5×	`associate-/l/_binary64`
4×	`rem-sqrt-square_binary64` `div-sub_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate--l-_binary64`
3×	`unpow2_binary64` `pow-sqr_binary64` `associate--r+_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `+-inverses_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `cancel-sign-sub_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` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_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-lft1-in_binary64`

Counts

110 → 52

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	1830
1	223	1738
2	617	1708
3	2385	1690
4	5138	1690

prune90.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	52	10	62

Error

6.7b

Counts

62 → 10

Compiler

Compiled 1698 to 917 computations (46% saved)

regimes1.9s (25.4%)

Accuracy

Total 2.0b remaining (27.3%)

Threshold costs 0b (0%)

Compiler

Compiled 19903 to 14252 computations (28.4% saved)

bsearch12.0ms (0.2%)

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

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
17×	`+-commutative_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64` `neg-sub0_binary64`
8×	`distribute-rgt-neg-in_binary64`
7×	`distribute-lft-neg-in_binary64`
4×	`cancel-sign-sub-inv_binary64`
2×	`unsub-neg_binary64` `distribute-neg-out_binary64`
1×	`1-exp_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` `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	61	465
1	88	465
2	115	465
3	141	465
4	157	465
5	164	465
6	165	465
7	163	465

end6.0ms (0.1%)

Compiler: Compiled 308 to 189 computations (38.6% saved)

sample1.5s (19.8%)

Algorithm

1×

intervals

Results

674.0ms	8000×	body	128	valid
52.0ms	642×	body	128	nan
29.0ms	370×	body	128	invalid

Compiler

Compiled 711 to 483 computations (32.1% saved)

Details

analyze688.0ms (9.1%)

sample34.0ms (0.5%)

simplify478.0ms (6.3%)

prune4.0ms (0%)

localize21.0ms (0.3%)

rewrite161.0ms (2.1%)

series223.0ms (3%)

simplify128.0ms (1.7%)

prune124.0ms (1.6%)

localize24.0ms (0.3%)

rewrite186.0ms (2.5%)

series219.0ms (2.9%)

simplify109.0ms (1.4%)

prune158.0ms (2.1%)

localize22.0ms (0.3%)

rewrite340.0ms (4.5%)

series220.0ms (2.9%)

simplify208.0ms (2.7%)

prune165.0ms (2.2%)

localize27.0ms (0.4%)

rewrite152.0ms (2%)

series240.0ms (3.2%)

simplify82.0ms (1.1%)

prune90.0ms (1.2%)

regimes1.9s (25.4%)

bsearch12.0ms (0.2%)

simplify19.0ms (0.3%)

end6.0ms (0.1%)

sample1.5s (19.8%)

Profiling