Details

analyze978.0ms (8.4%)

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)

sample42.0ms (0.4%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
1.0ms	17×	body	128	nan
1.0ms	11×	body	128	invalid

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify601.0ms (5.2%)

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

prune9.0ms (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

17.4b

Counts

2 → 1

Compiler

Compiled 74 to 51 computations (31.1% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
3.0b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
19.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
19.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite232.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

17.4b

Rules

16×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`add-log-exp_binary64`
10×	`sqrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `cancel-sign-sub-inv_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `neg-log_binary64` `diff-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `distribute-rgt-neg-in_binary64` `neg-sub0_binary64` `sum-log_binary64` `distribute-lft-out_binary64`
1×	`sub-neg_binary64` `associate--l-_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+l-_binary64` `+-commutative_binary64`

Counts

4 → 68

Calls

4 calls:

10.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
9.0ms	(+.f64 (neg.f64 b) (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	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3017 to 1705 computations (43.5% saved)

series973.0ms (8.4%)

Error

4.7b

Counts

4 → 68

Calls

4 calls:

271.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
227.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
215.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
193.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 5664 to 4027 computations (28.9% saved)

simplify115.0ms (1%)

Algorithm

1×	egg-herbie

Rules

457×	`times-frac_binary64`
241×	`cancel-sign-sub-inv_binary64`
224×	`associate-/l*_binary64`
220×	`associate-/r*_binary64`
215×	`div-sub_binary64`
155×	`distribute-rgt-neg-in_binary64`
141×	`distribute-rgt-in_binary64`
136×	`distribute-lft-neg-in_binary64`
122×	`distribute-lft-in_binary64`
95×	`sub-neg_binary64`
93×	`distribute-lft-neg-out_binary64`
90×	`distribute-rgt-neg-out_binary64`
88×	`associate-r_binary64`
74×	`unswap-sqr_binary64`
72×	`associate-l_binary64` `associate-+l-_binary64`
71×	`unsub-neg_binary64`
69×	`cube-prod_binary64` `neg-sub0_binary64`
68×	`associate-+r-_binary64`
61×	`*-commutative_binary64`
60×	`neg-mul-1_binary64`
59×	`associate-+l+_binary64`
56×	`associate-*l/_binary64`
48×	`distribute-neg-out_binary64` `+-commutative_binary64`
47×	`distribute-rgt-out_binary64`
45×	`associate-/r/_binary64`
44×	`associate-*r/_binary64`
41×	`sqr-pow_binary64`
38×	`exp-prod_binary64`
35×	`associate--l+_binary64`
32×	`exp-sum_binary64`
28×	`associate--r-_binary64`
25×	`distribute-neg-frac_binary64`
24×	`distribute-neg-in_binary64` `associate--r+_binary64`
21×	`exp-diff_binary64` `associate-/l/_binary64`
20×	`associate--l-_binary64`
19×	`unpow3_binary64` `swap-sqr_binary64`
18×	`difference-of-squares_binary64` `distribute-lft-out_binary64`
16×	`distribute-frac-neg_binary64`
15×	`distribute-rgt-out--_binary64`
13×	`+-rgt-identity_binary64`
11×	`cube-unmult_binary64` `cube-mult_binary64` `sqr-neg_binary64`
10×	`cube-neg_binary64` `associate-+r+_binary64`
8×	`pow-plus_binary64` `mul-1-neg_binary64`
7×	`log-prod_binary64`
6×	`rem-sqrt-square_binary64`
4×	`remove-double-neg_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `sub0-neg_binary64` `distribute-lft-out--_binary64`
2×	`div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64`
1×	`log-pow_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_binary64` `--rgt-identity_binary64` `+-inverses_binary64` `distribute-rgt1-in_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` `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` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

136 → 103

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	2739
1	402	2579
2	1231	2542
3	4632	2542
4	5105	2542

prune199.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	95	8	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	8	104

Error

4.7b

Counts

104 → 8

Compiler

Compiled 3185 to 1765 computations (44.6% saved)

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

19.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
19.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
19.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
19.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite273.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

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:

5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
5.0ms	(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 4324 to 2311 computations (46.6% saved)

series968.0ms (8.3%)

Error

4.7b

Counts

4 → 69

Calls

4 calls:

220.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
220.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
216.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
212.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 9403 to 5957 computations (36.6% saved)

simplify100.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

708×	`associate-l_binary64`
657×	`cancel-sign-sub-inv_binary64`
621×	`associate-r_binary64`
508×	`unswap-sqr_binary64`
277×	`times-frac_binary64`
190×	`associate-/l*_binary64`
153×	`distribute-rgt-neg-in_binary64`
145×	`distribute-lft-neg-in_binary64`
123×	`associate-/r_binary64` `-commutative_binary64`
83×	`neg-sub0_binary64`
80×	`neg-mul-1_binary64`
75×	`sub-neg_binary64`
50×	`sqr-pow_binary64`
42×	`associate-/r/_binary64`
40×	`associate-*r/_binary64`
39×	`associate-*l/_binary64`
34×	`cube-prod_binary64` `+-commutative_binary64`
29×	`distribute-rgt-out_binary64`
23×	`difference-of-squares_binary64`
21×	`unsub-neg_binary64` `distribute-neg-frac_binary64`
20×	`swap-sqr_binary64` `associate-/l/_binary64`
18×	`distribute-rgt-in_binary64`
17×	`distribute-lft-in_binary64`
14×	`associate-+r+_binary64`
12×	`unpow3_binary64` `associate--l+_binary64` `associate-+l-_binary64`
11×	`cube-unmult_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
10×	`+-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
9×	`pow-plus_binary64` `cube-mult_binary64` `sub0-neg_binary64`
8×	`div-sub_binary64`
7×	`distribute-lft-out_binary64`
6×	`rem-sqrt-square_binary64`
4×	`mul0-rgt_binary64` `mul0-lft_binary64` `pow-sqr_binary64` `distribute-neg-in_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `mul-1-neg_binary64`
2×	`rem-square-sqrt_binary64` `distribute-rgt-neg-out_binary64` `associate--r+_binary64`
1×	`1-exp_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` `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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

129 → 62

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	2209
1	226	2119
2	747	2119
3	3624	2119
4	5640	2119

prune196.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	62	8	70

Error

4.7b

Counts

70 → 8

Compiler

Compiled 3551 to 1951 computations (45.1% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.2b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
19.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite213.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

19×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`pow1_binary64` `times-frac_binary64` `associate-/l*_binary64`
3×	`sqrt-prod_binary64` `distribute-rgt-neg-in_binary64`
2×	`flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `neg-sub0_binary64` `associate-+l-_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `neg-log_binary64` `+-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

4 → 70

Calls

4 calls:

15.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
9.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2548 to 1538 computations (39.6% saved)

series960.0ms (8.2%)

Error

4.6b

Counts

4 → 65

Calls

4 calls:

301.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
221.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
207.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
178.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3727 to 2913 computations (21.8% saved)

simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Rules

795×	`times-frac_binary64`
498×	`div-sub_binary64`
220×	`cancel-sign-sub-inv_binary64`
185×	`distribute-rgt-in_binary64`
172×	`distribute-lft-in_binary64`
170×	`distribute-rgt-neg-in_binary64`
152×	`distribute-lft-neg-in_binary64`
124×	`exp-prod_binary64`
121×	`distribute-rgt-neg-out_binary64`
116×	`distribute-lft-neg-out_binary64`
106×	`associate-r_binary64`
100×	`associate-l_binary64`
93×	`sub-neg_binary64` `associate-/l/_binary64`
86×	`*-commutative_binary64`
79×	`cube-prod_binary64`
74×	`neg-sub0_binary64`
66×	`neg-mul-1_binary64`
63×	`associate-/l*_binary64`
57×	`unswap-sqr_binary64`
56×	`unsub-neg_binary64`
51×	`associate-/r*_binary64`
48×	`exp-sum_binary64` `sqr-pow_binary64`
44×	`distribute-rgt-out_binary64`
39×	`distribute-neg-out_binary64`
37×	`+-commutative_binary64`
36×	`distribute-neg-frac_binary64` `distribute-frac-neg_binary64`
27×	`associate-*l/_binary64`
24×	`associate-*r/_binary64`
23×	`exp-diff_binary64`
18×	`unpow3_binary64` `swap-sqr_binary64`
17×	`distribute-lft-out_binary64`
16×	`distribute-neg-in_binary64`
14×	`difference-of-squares_binary64`
12×	`distribute-rgt-out--_binary64`
11×	`pow-plus_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-neg_binary64` `sqr-neg_binary64`
10×	`associate-+r-_binary64`
9×	`associate-/r/_binary64` `associate--r+_binary64`
7×	`exp-neg_binary64` `+-rgt-identity_binary64`
6×	`mul-1-neg_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
5×	`log-div_binary64` `log-prod_binary64` `unpow2_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64`
4×	`remove-double-neg_binary64` `associate-+l-_binary64` `associate-+l+_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `prod-exp_binary64` `cube-div_binary64` `associate-+r+_binary64`
2×	`log-pow_binary64` `div-exp_binary64` `sub0-neg_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`exp-sqrt_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `-lft-identity_binary64` `--rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `cancel-sign-sub_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-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-cbrt_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` `*-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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

135 → 110

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	2851
1	494	2509
2	1573	2490
3	4619	2490
4	5686	2490

prune181.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	104	6	110
Fresh	2	4	6
Picked	1	0	1
Done	1	0	1
Total	108	10	118

Error

4.6b

Counts

118 → 10

Compiler

Compiled 2603 to 1585 computations (39.1% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (.f64 2 c) (.f64 b -2))
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.2b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
19.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite208.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-log-exp_binary64`
9×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64`
4×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64`
3×	`sqrt-prod_binary64`
2×	`flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `sum-log_binary64` `distribute-lft-out_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `neg-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-rgt-neg-in_binary64` `neg-sub0_binary64` `associate-+l-_binary64` `+-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64`

Counts

4 → 63

Calls

4 calls:

9.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
6.0ms	(/.f64 (.f64 2 c) (.f64 b -2))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2270 to 1400 computations (38.3% saved)

series770.0ms (6.6%)

Error

4.4b

Counts

4 → 56

Calls

4 calls:

236.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
216.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
187.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
85.0ms	(/.f64 (.f64 2 c) (.f64 b -2))

Compiler

Compiled 3168 to 2473 computations (21.9% saved)

simplify139.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

421×	`associate-*l/_binary64`
326×	`associate-*r/_binary64`
215×	`associate-/l/_binary64`
185×	`cancel-sign-sub-inv_binary64`
160×	`times-frac_binary64`
147×	`distribute-rgt-neg-in_binary64`
138×	`associate-/r/_binary64`
136×	`distribute-lft-neg-out_binary64`
127×	`exp-prod_binary64` `distribute-lft-neg-in_binary64`
122×	`distribute-rgt-neg-out_binary64`
113×	`associate-l_binary64`
110×	`distribute-rgt-in_binary64`
104×	`associate-r_binary64`
98×	`distribute-lft-in_binary64`
89×	`associate-/l*_binary64`
82×	`sub-neg_binary64`
73×	`associate-/r*_binary64`
72×	`*-commutative_binary64`
60×	`log-prod_binary64` `distribute-frac-neg_binary64`
59×	`neg-sub0_binary64`
57×	`unswap-sqr_binary64`
53×	`neg-mul-1_binary64`
51×	`unsub-neg_binary64`
50×	`sqr-pow_binary64`
43×	`cube-prod_binary64`
42×	`distribute-rgt-out_binary64`
40×	`exp-sum_binary64`
39×	`distribute-neg-out_binary64`
33×	`log-div_binary64`
32×	`+-commutative_binary64`
29×	`div-sub_binary64`
27×	`unpow3_binary64`
26×	`swap-sqr_binary64`
21×	`distribute-neg-frac_binary64`
20×	`exp-diff_binary64`
18×	`cube-mult_binary64`
15×	`distribute-lft-out_binary64`
14×	`difference-of-squares_binary64`
13×	`pow-plus_binary64` `cube-unmult_binary64`
12×	`distribute-rgt-out--_binary64`
10×	`associate-+r-_binary64`
9×	`distribute-neg-in_binary64` `associate--r+_binary64`
8×	`exp-neg_binary64` `cube-div_binary64` `associate--l+_binary64`
7×	`cube-neg_binary64`
6×	`log-pow_binary64` `sqr-neg_binary64` `+-rgt-identity_binary64`
5×	`unpow2_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `pow-sqr_binary64` `associate-+l+_binary64`
4×	`exp-lft-sqr_binary64` `associate-+l-_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `exp-sqrt_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate-+r+_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `associate--l-_binary64`
1×	`rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `+-inverses_binary64` `cancel-sign-sub_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-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-cbrt_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` `-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64`

Counts

119 → 96

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	1999
1	428	1700
2	1697	1684
3	4740	1684
4	4988	1684
5	4998	1684
6	4918	1684

prune149.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	95	11	106

Error

4.4b

Counts

106 → 11

Compiler

Compiled 1679 to 977 computations (41.8% saved)

regimes2.5s (21.4%)

Accuracy

Total 1.4b remaining (20.8%)

Threshold costs 0b (0%)

Compiler

Compiled 20999 to 15324 computations (27% saved)

bsearch94.0ms (0.8%)

Steps

Iters	Range		Point
8	2.6036839226974344e+87	8.186591101373147e+89	4.2871226033316587e+89
6	-7.154093724916874e+72	-1.1230543681736717e+71	-3.5015940117385165e+72

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
18×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-mul-1_binary64` `neg-sub0_binary64`
10×	`distribute-rgt-neg-in_binary64`
8×	`distribute-lft-neg-in_binary64`
6×	`cancel-sign-sub-inv_binary64`
2×	`unsub-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-neg-out_binary64`
1×	`distribute-neg-frac_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `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-frac-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	155
1	78	151
2	114	151
3	143	151
4	159	151
5	164	151
6	163	151

end5.0ms (0%)

Compiler: Compiled 100 to 63 computations (37% saved)

sample1.5s (12.9%)

Algorithm

1×

intervals

Results

700.0ms	8000×	body	128	valid
56.0ms	659×	body	128	nan
29.0ms	350×	body	128	invalid

Compiler

Compiled 541 to 383 computations (29.2% saved)

Details

analyze978.0ms (8.4%)

sample42.0ms (0.4%)

simplify601.0ms (5.2%)

prune9.0ms (0.1%)

localize27.0ms (0.2%)

rewrite232.0ms (2%)

series973.0ms (8.4%)

simplify115.0ms (1%)

prune199.0ms (1.7%)

localize41.0ms (0.4%)

rewrite273.0ms (2.3%)

series968.0ms (8.3%)

simplify100.0ms (0.9%)

prune196.0ms (1.7%)

localize25.0ms (0.2%)

rewrite213.0ms (1.8%)

series960.0ms (8.2%)

simplify117.0ms (1%)

prune181.0ms (1.6%)

localize25.0ms (0.2%)

rewrite208.0ms (1.8%)

series770.0ms (6.6%)

simplify139.0ms (1.2%)

prune149.0ms (1.3%)

regimes2.5s (21.4%)

bsearch94.0ms (0.8%)

simplify8.0ms (0.1%)

end5.0ms (0%)

sample1.5s (12.9%)

Profiling