Details

analyze833.0ms (10.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

591×	`neg-mul-1_binary64`
519×	`neg-sub0_binary64`
502×	`div-sub_binary64`
497×	`associate-/l*_binary64`
455×	`associate-/r*_binary64`
378×	`sub-neg_binary64`
326×	`distribute-lft-neg-out_binary64`
325×	`distribute-neg-frac_binary64`
240×	`distribute-rgt-neg-out_binary64`
226×	`distribute-frac-neg_binary64`
219×	`distribute-rgt-neg-in_binary64`
175×	`cancel-sign-sub-inv_binary64`
164×	`unsub-neg_binary64`
155×	`distribute-rgt-in_binary64`
151×	`associate-r_binary64`
138×	`cancel-sign-sub_binary64`
133×	`associate-l_binary64`
118×	`remove-double-neg_binary64`
101×	`*-commutative_binary64`
88×	`associate-/r/_binary64`
77×	`+-commutative_binary64`
76×	`distribute-neg-in_binary64` `associate-*l/_binary64`
73×	`distribute-lft-in_binary64`
57×	`associate--l-_binary64`
56×	`times-frac_binary64` `distribute-lft-neg-in_binary64`
53×	`associate-*r/_binary64`
52×	`associate-/l/_binary64`
51×	`/-rgt-identity_binary64` `distribute-neg-out_binary64` `associate--r+_binary64`
46×	`sub0-neg_binary64` `associate-+r-_binary64`
45×	`associate-+l-_binary64`
36×	`*-lft-identity_binary64`
35×	`associate--r-_binary64`
32×	`associate-+r+_binary64`
30×	`div0_binary64`
24×	`associate-+l+_binary64`
18×	`mul0-rgt_binary64`
15×	`*-rgt-identity_binary64` `mul0-lft_binary64`
14×	`+-rgt-identity_binary64`
13×	`distribute-lft-out_binary64`
12×	`distribute-rgt-out--_binary64`
9×	`associate--l+_binary64`
6×	`mul-1-neg_binary64` `+-lft-identity_binary64` `swap-sqr_binary64`
3×	`sqr-neg_binary64` `--rgt-identity_binary64` `remove-double-div_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` `*-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` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	127	224
2	250	224
3	535	216
4	880	216
5	1586	216
6	3577	216
7	4244	216
8	4751	216
9	4877	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
12.5%	87.4%	0.1%	6
20.3%	73.3%	6.4%	7
27.3%	66.3%	6.4%	8
38.2%	53%	8.7%	9
46%	40.6%	13.4%	10
49.9%	35.1%	15%	11
54.9%	26.9%	18.1%	12
57.4%	22%	20.6%	13
59.7%	18%	22.4%	14

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample41.0ms (0.5%)

Algorithm

1×

intervals

Results

24.0ms	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)

simplify605.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

1534×	`div-sub_binary64`
1283×	`associate-/l*_binary64`
1224×	`distribute-rgt-in_binary64`
767×	`associate-/r*_binary64`
744×	`distribute-lft-in_binary64`
638×	`sub-neg_binary64`
529×	`unsub-neg_binary64`
510×	`cancel-sign-sub-inv_binary64`
488×	`times-frac_binary64`
376×	`associate-/r/_binary64`
308×	`associate-/l/_binary64`
284×	`associate-*l/_binary64`
249×	`*-commutative_binary64`
241×	`distribute-neg-frac_binary64`
237×	`distribute-rgt-neg-in_binary64`
235×	`neg-mul-1_binary64`
206×	`distribute-lft-neg-in_binary64`
202×	`distribute-rgt-neg-out_binary64`
183×	`distribute-lft-neg-out_binary64`
151×	`distribute-frac-neg_binary64`
138×	`neg-sub0_binary64` `associate--r+_binary64`
112×	`distribute-rgt-out_binary64`
109×	`*-lft-identity_binary64`
100×	`distribute-neg-in_binary64`
86×	`+-rgt-identity_binary64`
80×	`associate--l+_binary64`
78×	`mul0-rgt_binary64`
75×	`+-commutative_binary64`
74×	`associate-l_binary64`
73×	`div0_binary64` `associate-+r-_binary64`
72×	`/-rgt-identity_binary64` `mul0-lft_binary64`
70×	`distribute-rgt-out--_binary64`
68×	`associate--l-_binary64`
64×	`associate-r_binary64`
58×	`+-lft-identity_binary64`
57×	`remove-double-neg_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
55×	`associate-*r/_binary64`
51×	`*-rgt-identity_binary64`
50×	`associate--r-_binary64`
48×	`remove-double-div_binary64`
34×	`distribute-neg-out_binary64`
30×	`associate-+l-_binary64`
28×	`sub0-neg_binary64`
15×	`--rgt-identity_binary64`
7×	`distribute-lft-out_binary64`
6×	`mul-1-neg_binary64` `distribute-lft-out--_binary64`
5×	`cancel-sign-sub_binary64`
4×	`swap-sqr_binary64`
2×	`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` `*-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	43	56
2	91	56
3	198	54
4	309	54
5	519	54
6	918	54
7	1356	54
8	1505	54
9	2181	54
10	2806	54
11	2812	54
12	2814	54
13	2776	54
14	2800	54
15	3982	54
16	3118	54
17	3126	54
18	3134	54
19	3134	54
20	3142	54
21	3142	54
22	3944	54
23	2934	54
24	3120	54
25	3086	54
26	3090	54
27	3102	54
28	3106	54
29	3106	54
30	3268	54
31	3196	54
32	3324	54
33	3428	54
34	3532	54
35	3636	54
36	3036	54
37	3036	54
38	3056	54
39	3092	54
40	3094	54
41	3094	54
42	2785	54

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

17.2b

Counts

2 → 1

Compiler

Compiled 74 to 51 computations (31.1% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
20.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
20.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite157.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

17.2b

Rules

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

Counts

4 → 54

Calls

4 calls:

9.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
6.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2536 to 1429 computations (43.7% saved)

series222.0ms (2.8%)

Error

4.9b

Counts

4 → 62

Calls

4 calls:

51.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
51.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
46.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
46.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 4412 to 3129 computations (29.1% saved)

simplify109.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

627×	`associate-l_binary64`
545×	`associate-r_binary64`
385×	`distribute-rgt-neg-in_binary64`
384×	`distribute-lft-neg-in_binary64`
330×	`neg-mul-1_binary64`
317×	`cancel-sign-sub-inv_binary64`
315×	`unswap-sqr_binary64`
150×	`exp-prod_binary64`
132×	`times-frac_binary64`
114×	`distribute-lft-neg-out_binary64`
102×	`distribute-rgt-neg-out_binary64` `*-commutative_binary64`
96×	`associate-/l*_binary64`
85×	`sqr-pow_binary64`
64×	`associate-/r*_binary64`
62×	`cube-prod_binary64`
53×	`neg-sub0_binary64`
48×	`sub-neg_binary64`
42×	`distribute-lft-in_binary64`
41×	`distribute-rgt-in_binary64`
37×	`swap-sqr_binary64`
31×	`unpow3_binary64`
29×	`unsub-neg_binary64`
26×	`associate-*l/_binary64`
23×	`associate-/r/_binary64` `associate-*r/_binary64`
22×	`difference-of-squares_binary64` `distribute-rgt-out_binary64`
21×	`+-commutative_binary64`
20×	`cube-mult_binary64` `div-sub_binary64`
19×	`pow-plus_binary64` `exp-sum_binary64`
18×	`cube-unmult_binary64`
17×	`distribute-neg-frac_binary64`
13×	`pow-sqr_binary64`
11×	`sqr-neg_binary64` `distribute-lft-out_binary64`
10×	`exp-diff_binary64`
7×	`unpow2_binary64` `+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
6×	`sub0-neg_binary64`
5×	`unpow1_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `associate-/l/_binary64` `associate-+r+_binary64`
4×	`associate-+l+_binary64`
3×	`unpow1/2_binary64`
2×	`prod-exp_binary64` `distribute-neg-in_binary64` `associate--l+_binary64`
1×	`log-prod_binary64` `div-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-square-sqrt_binary64` `distribute-frac-neg_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` `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` `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` `-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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

116 → 89

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	1758
1	191	1632
2	613	1632
3	2779	1632
4	4612	1632
5	4978	1632

prune128.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	10	90

Error

10.2b

Counts

90 → 10

Compiler

Compiled 2600 to 1481 computations (43% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

14.5b	(+.f64 (neg.f64 b) (.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)))))))
20.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
20.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
20.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite208.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

10.2b

Rules

10×	`add-sqr-sqrt_binary64`
9×	`sqrt-prod_binary64`
8×	`add-log-exp_binary64`
7×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`sqrt-div_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `rem-sqrt-square_binary64`
2×	`sum-log_binary64`
1×	`neg-log_binary64` `flip3-+_binary64` `flip-+_binary64` `neg-sub0_binary64` `associate-+l-_binary64` `+-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(+.f64 (neg.f64 b) (.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)))))))
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 3572 to 1910 computations (46.5% saved)

series244.0ms (3.1%)

Error

4.9b

Counts

4 → 52

Calls

4 calls:

56.0ms	(+.f64 (neg.f64 b) (.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)))))))
51.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
39.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
39.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 5541 to 3729 computations (32.7% saved)

simplify113.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

485×	`div-sub_binary64`
444×	`times-frac_binary64`
388×	`unsub-neg_binary64`
247×	`neg-sub0_binary64`
239×	`neg-mul-1_binary64`
237×	`*-commutative_binary64`
200×	`cancel-sign-sub-inv_binary64`
196×	`sub-neg_binary64`
189×	`distribute-rgt-neg-in_binary64`
167×	`associate-/r*_binary64`
166×	`associate-/l*_binary64`
164×	`distribute-lft-neg-in_binary64`
123×	`cube-prod_binary64`
95×	`distribute-lft-neg-out_binary64`
94×	`associate-r_binary64`
90×	`distribute-rgt-in_binary64`
87×	`distribute-rgt-neg-out_binary64`
83×	`associate-l_binary64`
78×	`distribute-lft-in_binary64`
76×	`difference-of-squares_binary64`
72×	`sqr-pow_binary64`
55×	`+-commutative_binary64`
54×	`unswap-sqr_binary64`
52×	`remove-double-neg_binary64`
50×	`distribute-rgt-out_binary64`
43×	`associate-*l/_binary64`
40×	`associate-+r-_binary64`
37×	`distribute-neg-out_binary64` `associate-+l-_binary64`
36×	`associate-+l+_binary64`
35×	`unpow3_binary64`
34×	`associate-*r/_binary64`
31×	`associate-+r+_binary64`
29×	`cube-mult_binary64`
28×	`exp-prod_binary64`
26×	`associate-/r/_binary64`
22×	`/-rgt-identity_binary64`
20×	`distribute-neg-frac_binary64`
19×	`cube-neg_binary64` `mul0-lft_binary64`
18×	`sub0-neg_binary64` `associate--r-_binary64`
17×	`+-rgt-identity_binary64` `mul0-rgt_binary64` `swap-sqr_binary64`
16×	`distribute-frac-neg_binary64`
15×	`associate--l+_binary64`
14×	`distribute-rgt-out--_binary64`
13×	`pow-plus_binary64` `exp-diff_binary64` `exp-sum_binary64` `associate--l-_binary64`
12×	`sqr-neg_binary64`
11×	`distribute-lft-out_binary64`
10×	`pow-sqr_binary64`
9×	`--rgt-identity_binary64`
8×	`cube-unmult_binary64` `rem-sqrt-square_binary64` `div0_binary64` `distribute-neg-in_binary64`
7×	`log-prod_binary64` `associate--r+_binary64`
5×	`unpow2_binary64` `associate-/l/_binary64`
4×	`unpow1/2_binary64` `cube-div_binary64` `mul-1-neg_binary64` `+-inverses_binary64`
3×	`unpow1_binary64` `rem-square-sqrt_binary64` `distribute-lft-out--_binary64`
2×	`*-lft-identity_binary64` `cancel-sign-sub_binary64`
1×	`div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `distribute-rgt1-in_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` `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-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` `-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`

Counts

110 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1860
1	307	1764
2	1003	1749
3	3627	1749
4	4455	1749
5	5031	1749

prune143.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	64	8	72

Error

10.2b

Counts

72 → 8

Compiler

Compiled 2836 to 1598 computations (43.7% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

6.4b	(-.f64 (neg.f64 b) (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
20.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
21.3b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
21.3b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite180.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

10.2b

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`cbrt-prod_binary64`
5×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `cbrt-div_binary64` `flip--_binary64`
3×	`sqrt-prod_binary64`
2×	`pow1/3_binary64` `sqrt-div_binary64` `diff-log_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `neg-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `neg-sub0_binary64` `associate--l-_binary64`

Counts

4 → 55

Calls

4 calls:

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

Compiler

Compiled 3541 to 1891 computations (46.6% saved)

series403.0ms (5.1%)

Error

9.7b

Counts

4 → 58

Calls

4 calls:

114.0ms	(-.f64 (neg.f64 b) (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
83.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
77.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
40.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 8081 to 5734 computations (29% saved)

simplify150.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

457×	`times-frac_binary64`
273×	`distribute-rgt-neg-in_binary64`
253×	`distribute-lft-neg-in_binary64`
248×	`cancel-sign-sub-inv_binary64`
176×	`associate-r_binary64`
162×	`distribute-rgt-neg-out_binary64`
161×	`distribute-rgt-in_binary64`
145×	`log-prod_binary64`
144×	`associate-l_binary64`
137×	`distribute-lft-neg-out_binary64`
135×	`exp-sum_binary64`
107×	`*-commutative_binary64`
101×	`neg-sub0_binary64`
97×	`sub-neg_binary64`
96×	`sqr-pow_binary64`
93×	`unswap-sqr_binary64`
88×	`exp-prod_binary64`
87×	`neg-mul-1_binary64`
60×	`unsub-neg_binary64`
50×	`distribute-frac-neg_binary64`
46×	`distribute-rgt-out_binary64`
44×	`cube-prod_binary64` `associate-/l*_binary64`
39×	`+-commutative_binary64`
35×	`exp-diff_binary64`
33×	`distribute-neg-out_binary64`
32×	`distribute-neg-frac_binary64`
27×	`associate-/r*_binary64`
25×	`associate-*r/_binary64`
24×	`log-pow_binary64`
19×	`unpow3_binary64` `associate-*l/_binary64`
18×	`exp-neg_binary64` `difference-of-squares_binary64` `distribute-lft-in_binary64`
17×	`div-sub_binary64` `swap-sqr_binary64`
15×	`distribute-neg-in_binary64` `distribute-lft-out_binary64`
14×	`associate-+r-_binary64`
13×	`cube-mult_binary64` `mul-1-neg_binary64`
12×	`log-div_binary64` `exp-to-pow_binary64` `pow-sqr_binary64`
11×	`unpow1/3_binary64` `rem-exp-log_binary64` `associate-+r+_binary64`
10×	`cube-unmult_binary64` `+-rgt-identity_binary64`
8×	`rem-sqrt-square_binary64` `remove-double-neg_binary64` `associate--r+_binary64`
6×	`pow-plus_binary64` `cancel-sign-sub_binary64` `associate-+l+_binary64`
5×	`prod-exp_binary64` `cube-neg_binary64` `associate-/r/_binary64`
4×	`sqr-neg_binary64` `associate--r-_binary64` `associate-+l-_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `sub0-neg_binary64`
2×	`log-rec_binary64` `rec-exp_binary64` `rem-square-sqrt_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `associate-/l/_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

113 → 95

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	225	3257
1	594	3021
2	1893	3006
3	4633	2898
4	4902	2898
5	4958	2898

prune178.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	95	8	103

Error

9.7b

Counts

103 → 8

Compiler

Compiled 4224 to 2356 computations (44.2% saved)

localize46.0ms (0.6%)

Local error

Found 4 expressions with local error:

21.3b	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
21.3b	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
21.3b	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
21.3b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite196.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

9.7b

Rules

12×	`cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64` `cbrt-div_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1/3_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `flip--_binary64`

Counts

4 → 52

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
5.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
5.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
4.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4616 to 2431 computations (47.3% saved)

series472.0ms (6%)

Error

9.7b

Counts

4 → 63

Calls

4 calls:

94.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
92.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
91.0ms	(cbrt.f64 (+.f64 (.f64 -4 (.f64 a c)) (*.f64 b b)))
85.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 12312 to 8071 computations (34.4% saved)

simplify161.0ms (2%)

Algorithm

1×	egg-herbie

Rules

572×	`distribute-rgt-neg-in_binary64`
513×	`prod-exp_binary64`
284×	`*-commutative_binary64`
247×	`unswap-sqr_binary64`
189×	`cancel-sign-sub-inv_binary64`
175×	`distribute-neg-frac_binary64`
171×	`sub-neg_binary64`
168×	`exp-sum_binary64`
167×	`distribute-lft-neg-in_binary64`
162×	`neg-sub0_binary64`
159×	`neg-mul-1_binary64`
145×	`unsub-neg_binary64`
114×	`log-prod_binary64`
112×	`times-frac_binary64`
99×	`associate-/r*_binary64`
94×	`associate-/l*_binary64`
91×	`associate-r_binary64`
89×	`distribute-rgt-neg-out_binary64`
87×	`sqr-pow_binary64`
86×	`cube-prod_binary64`
81×	`associate-l_binary64`
80×	`distribute-lft-neg-out_binary64`
77×	`exp-prod_binary64`
68×	`associate-*r/_binary64`
66×	`exp-diff_binary64`
58×	`div-sub_binary64` `distribute-rgt-in_binary64`
52×	`associate-*l/_binary64`
50×	`distribute-lft-in_binary64`
38×	`associate-+r-_binary64`
37×	`exp-to-pow_binary64`
36×	`log-div_binary64` `swap-sqr_binary64` `+-commutative_binary64`
31×	`distribute-neg-in_binary64` `associate-/r/_binary64`
28×	`unpow1/3_binary64`
24×	`unpow3_binary64` `associate-+l-_binary64`
23×	`log-pow_binary64` `distribute-rgt-out_binary64`
21×	`sub0-neg_binary64`
20×	`div-exp_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64` `associate--l+_binary64` `associate-+r+_binary64`
19×	`distribute-neg-out_binary64`
18×	`associate--r-_binary64`
15×	`cube-mult_binary64` `associate-+l+_binary64`
14×	`remove-double-neg_binary64`
13×	`cancel-sign-sub_binary64` `associate-/l/_binary64`
11×	`rem-exp-log_binary64` `pow-sqr_binary64`
10×	`distribute-rgt-out--_binary64`
8×	`pow-plus_binary64` `exp-neg_binary64`
7×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-out_binary64`
6×	`log-rec_binary64` `cube-neg_binary64` `associate--r+_binary64`
5×	`sqr-neg_binary64` `--rgt-identity_binary64`
4×	`rem-sqrt-square_binary64` `associate--l-_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-unmult_binary64`
2×	`rem-3cbrt-lft_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_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` `pow-base-0_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` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-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-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

115 → 82

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	2517
1	328	2473
2	971	2457
3	2816	2361
4	4766	2361
5	4466	2361
6	5050	2361

prune104.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	82	8	90

Error

9.7b

Counts

90 → 8

Compiler

Compiled 3049 to 1635 computations (46.4% saved)

regimes1.6s (20.3%)

Accuracy

Total -4.6b remaining (-66.8%)

Threshold costs -4.6b (-66.8%)

Compiler

Compiled 24063 to 16028 computations (33.4% saved)

bsearch64.0ms (0.8%)

Steps

Iters	Range		Point
9	3.9568327501444714e+63	1.421877822894735e+69	2.778748242798635e+68
7	-1.2750732572857475e+158	-2.2165783423480447e+149	-2.681333306749349e+149

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64` `+-commutative_binary64`
14×	`sub-neg_binary64`
11×	`neg-mul-1_binary64` `neg-sub0_binary64`
8×	`distribute-rgt-neg-in_binary64`
7×	`distribute-lft-neg-in_binary64`
4×	`unsub-neg_binary64` `cancel-sign-sub-inv_binary64`
3×	`distribute-neg-out_binary64`
1×	`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` `1-exp_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: 1 (0.0ms)

Iter	Nodes	Cost
0	44	198
1	70	194
2	102	194
3	129	194
4	144	194
5	149	194
6	148	194

end3.0ms (0%)

Compiler: Compiled 127 to 77 computations (39.4% saved)

sample1.4s (18.2%)

Algorithm

1×

intervals

Results

694.0ms	8000×	body	128	valid
49.0ms	628×	body	128	nan
30.0ms	375×	body	128	invalid

Compiler

Compiled 531 to 360 computations (32.2% saved)

Details

analyze833.0ms (10.5%)

sample41.0ms (0.5%)

simplify605.0ms (7.6%)

prune8.0ms (0.1%)

localize24.0ms (0.3%)

rewrite157.0ms (2%)

series222.0ms (2.8%)

simplify109.0ms (1.4%)

prune128.0ms (1.6%)

localize32.0ms (0.4%)

rewrite208.0ms (2.6%)

series244.0ms (3.1%)

simplify113.0ms (1.4%)

prune143.0ms (1.8%)

localize33.0ms (0.4%)

rewrite180.0ms (2.3%)

series403.0ms (5.1%)

simplify150.0ms (1.9%)

prune178.0ms (2.2%)

localize46.0ms (0.6%)

rewrite196.0ms (2.5%)

series472.0ms (6%)

simplify161.0ms (2%)

prune104.0ms (1.3%)

regimes1.6s (20.3%)

bsearch64.0ms (0.8%)

simplify10.0ms (0.1%)

end3.0ms (0%)

sample1.4s (18.2%)

Profiling