Details

analyze326.0ms (3%)

Algorithm

1×	search
2×	egg-herbie

Rules

729×	`div-sub_binary64`
432×	`cancel-sign-sub-inv_binary64`
372×	`unsub-neg_binary64`
310×	`associate-l_binary64`
297×	`associate-r_binary64`
290×	`unswap-sqr_binary64`
213×	`sub-neg_binary64`
192×	`neg-mul-1_binary64`
158×	`distribute-rgt-in_binary64`
157×	`distribute-lft-in_binary64`
118×	`*-commutative_binary64`
105×	`neg-sub0_binary64`
96×	`associate-+l+_binary64`
93×	`associate-*l/_binary64`
91×	`associate-+r+_binary64`
74×	`times-frac_binary64`
72×	`associate-/l*_binary64`
65×	`*-lft-identity_binary64`
64×	`*-rgt-identity_binary64`
63×	`associate-*r/_binary64`
61×	`associate-/r*_binary64`
56×	`+-commutative_binary64`
49×	`sqr-pow_binary64`
46×	`associate-+l-_binary64`
40×	`swap-sqr_binary64`
35×	`pow-plus_binary64` `sub0-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
30×	`associate-+r-_binary64`
28×	`difference-of-squares_binary64`
24×	`cube-prod_binary64` `associate--r+_binary64`
21×	`cube-unmult_binary64`
18×	`distribute-rgt-neg-in_binary64`
17×	`unpow3_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
16×	`associate--r-_binary64` `associate--l+_binary64`
12×	`cube-div_binary64` `distribute-lft-neg-in_binary64`
11×	`sqr-neg_binary64` `+-rgt-identity_binary64`
10×	`rem-sqrt-square_binary64` `+-lft-identity_binary64`
9×	`/-rgt-identity_binary64`
8×	`--rgt-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `associate--l-_binary64`
7×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
6×	`div0_binary64`
4×	`remove-double-neg_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64`
3×	`cube-mult_binary64` `mul-1-neg_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_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	52	144
1	129	132
2	296	132
3	938	132
4	2843	132
5	4501	132
6	4959	132
7	4999	132
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
49.9%	49.9%	0.1%	3
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
87.4%	12.5%	0.1%	9
87.4%	12.5%	0.1%	10
87.4%	12.5%	0.1%	11
93.6%	6.2%	0.1%	12
93.6%	6.2%	0.1%	13
93.6%	6.2%	0.1%	14

Compiler

Compiled 24 to 21 computations (12.5% saved)

sample77.0ms (0.7%)

Algorithm

1×

intervals

Results

22.0ms	33×	body	2048	valid
19.0ms	24×	body	4096	valid
16.0ms	172×	body	128	valid
5.0ms	13×	body	1024	valid
3.0ms	10×	body	512	valid
1.0ms	4×	body	256	valid

Compiler

Compiled 47 to 44 computations (6.4% saved)

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

763×	`div-sub_binary64`
378×	`cancel-sign-sub-inv_binary64`
353×	`associate-/r/_binary64`
331×	`distribute-rgt-in_binary64`
294×	`associate-/l/_binary64`
282×	`neg-mul-1_binary64`
257×	`neg-sub0_binary64`
255×	`distribute-lft-in_binary64`
231×	`unsub-neg_binary64`
179×	`associate-l_binary64`
163×	`times-frac_binary64`
153×	`distribute-rgt-neg-out_binary64`
148×	`unswap-sqr_binary64`
138×	`associate-r_binary64`
132×	`distribute-lft-neg-out_binary64`
109×	`sub-neg_binary64` `distribute-rgt-out_binary64`
107×	`distribute-rgt-neg-in_binary64`
103×	`associate-/r*_binary64`
98×	`associate-*l/_binary64`
80×	`distribute-lft-neg-in_binary64`
76×	`associate-/l*_binary64`
73×	`distribute-neg-frac_binary64`
71×	`associate-*r/_binary64`
68×	`associate-+r+_binary64`
65×	`distribute-frac-neg_binary64` `associate-+l+_binary64`
59×	`distribute-rgt-out--_binary64`
51×	`*-commutative_binary64`
44×	`distribute-neg-out_binary64`
32×	`+-commutative_binary64`
27×	`sqr-pow_binary64` `associate--r+_binary64`
24×	`pow-plus_binary64` `*-rgt-identity_binary64`
23×	`associate-+l-_binary64`
22×	`*-lft-identity_binary64`
21×	`distribute-lft-out_binary64`
19×	`unpow3_binary64` `cube-prod_binary64` `associate--r-_binary64`
18×	`cube-div_binary64` `sub0-neg_binary64`
16×	`swap-sqr_binary64` `cancel-sign-sub_binary64`
13×	`mul0-rgt_binary64`
12×	`+-rgt-identity_binary64` `mul0-lft_binary64` `associate--l+_binary64`
11×	`distribute-neg-in_binary64`
10×	`cube-unmult_binary64` `cube-mult_binary64` `associate-+r-_binary64`
8×	`associate--l-_binary64`
7×	`rem-sqrt-square_binary64`
6×	`remove-double-neg_binary64`
5×	`sqr-neg_binary64` `/-rgt-identity_binary64` `div0_binary64`
4×	`unpow2_binary64`
3×	`--rgt-identity_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `pow-sqr_binary64`
1×	`1-exp_binary64` `distribute-rgt1-in_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` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	36
1	44	33
2	92	33
3	250	33
4	624	33
5	1837	33
6	4068	33
7	4861	33
8	4970	33

prune4.0ms (0%)

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

30.0b

Counts

2 → 1

Compiler

Compiled 44 to 37 computations (15.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) PI.f64))
0.2b	(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))
0.9b	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))
34.6b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

rewrite363.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

29.9b

Rules

69×	`*-un-lft-identity_binary64`
51×	`add-sqr-sqrt_binary64`
36×	`cancel-sign-sub-inv_binary64`
30×	`add-cube-cbrt_binary64`
26×	`sqrt-prod_binary64`
21×	`times-frac_binary64`
20×	`associate-r_binary64`
18×	`add-exp-log_binary64`
16×	`unpow-prod-down_binary64` `associate-l_binary64`
14×	`add-cbrt-cube_binary64` `sqrt-div_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
12×	`distribute-lft-out_binary64` `frac-sub_binary64` `associate--l+_binary64`
10×	`distribute-lft-out--_binary64`
9×	`pow1_binary64` `add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
7×	`flip3-+_binary64` `flip-+_binary64` `associate-*r/_binary64`
6×	`sub-neg_binary64` `prod-exp_binary64` `frac-times_binary64`
5×	`unswap-sqr_binary64`
4×	`difference-of-squares_binary64` `cbrt-unprod_binary64`
3×	`diff-log_binary64` `div-exp_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate--l-_binary64` `1-exp_binary64` `rec-exp_binary64` `associate-*l/_binary64`

Counts

4 → 163

Calls

4 calls:

28.0ms	(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))
24.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))
11.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
8.0ms	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) PI.f64))

Compiler

Compiled 5997 to 3662 computations (38.9% saved)

series561.0ms (5.2%)

Error

0.8b

Counts

4 → 98

Calls

4 calls:

125.0ms	(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))
118.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))
111.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
78.0ms	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) PI.f64))

Compiler

Compiled 8070 to 6256 computations (22.5% saved)

simplify220.0ms (2%)

Algorithm

1×	egg-herbie

Rules

246×	`associate-r_binary64`
234×	`associate-/l*_binary64`
213×	`associate-l_binary64`
202×	`sub-neg_binary64`
197×	`associate--l+_binary64`
179×	`*-commutative_binary64`
175×	`times-frac_binary64`
161×	`associate-*l/_binary64`
148×	`associate-*r/_binary64`
141×	`cancel-sign-sub-inv_binary64`
137×	`associate-/r*_binary64`
125×	`+-commutative_binary64`
101×	`distribute-neg-in_binary64`
99×	`distribute-rgt-in_binary64`
93×	`distribute-lft-in_binary64`
85×	`neg-sub0_binary64`
83×	`neg-mul-1_binary64`
58×	`associate-+r+_binary64`
57×	`distribute-rgt-neg-in_binary64`
53×	`exp-prod_binary64`
40×	`distribute-lft-neg-in_binary64`
37×	`associate--r+_binary64`
31×	`sqr-pow_binary64`
25×	`associate-/r/_binary64`
22×	`*-lft-identity_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out_binary64`
20×	`div-sub_binary64` `distribute-rgt-out_binary64`
16×	`associate-/l/_binary64`
12×	`log-prod_binary64` `*-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
11×	`unpow3_binary64` `distribute-neg-frac_binary64`
10×	`cube-unmult_binary64` `cube-mult_binary64`
9×	`exp-sum_binary64`
8×	`log-div_binary64`
7×	`mul-1-neg_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64`
5×	`exp-diff_binary64` `cube-div_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `unsub-neg_binary64`
3×	`div-exp_binary64` `rem-square-sqrt_binary64` `associate-+l-_binary64`
2×	`log-rec_binary64` `pow-plus_binary64` `exp-neg_binary64` `cube-prod_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate-+r-_binary64`
1×	`log-pow_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_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` `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-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `--rgt-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+l+_binary64`

Counts

261 → 234

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	632	9569
1	1750	8919
2	4870	8919
3	4968	8919

prune224.0ms (2.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	224	10	234
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	225	10	235

Error

1.0b

Counts

235 → 10

Compiler

Compiled 6644 to 3319 computations (50% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (pow.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)) 1/2)))) PI.f64))
0.2b	(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (pow.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)) 1/2)))
0.9b	(-.f64 (-.f64 C A) (pow.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)) 1/2))
34.6b	(pow.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)) 1/2)

rewrite304.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

70×	`*-un-lft-identity_binary64`
53×	`add-sqr-sqrt_binary64`
42×	`unpow-prod-down_binary64`
39×	`cancel-sign-sub-inv_binary64`
31×	`add-cube-cbrt_binary64`
21×	`times-frac_binary64` `associate-r_binary64`
19×	`add-exp-log_binary64`
16×	`associate-l_binary64`
15×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
14×	`add-cbrt-cube_binary64`
12×	`distribute-lft-out_binary64` `associate--l+_binary64`
10×	`distribute-lft-out--_binary64`
9×	`pow1_binary64` `add-log-exp_binary64`
6×	`sqr-pow_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `prod-exp_binary64`
5×	`unswap-sqr_binary64`
4×	`cbrt-unprod_binary64`
3×	`pow-unpow_binary64` `diff-log_binary64` `flip3--_binary64` `flip--_binary64` `div-exp_binary64` `associate-*r/_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow1/2_binary64` `associate--l-_binary64` `1-exp_binary64` `rec-exp_binary64` `associate-*l/_binary64`

Counts

4 → 159

Calls

4 calls:

31.0ms	(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (pow.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)) 1/2)))
20.0ms	(-.f64 (-.f64 C A) (pow.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)) 1/2))
12.0ms	(pow.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)) 1/2)
8.0ms	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (pow.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)) 1/2)))) PI.f64))

Compiler

Compiled 5600 to 3599 computations (35.7% saved)

series750.0ms (7%)

Error

0.8b

Counts

4 → 99

Calls

4 calls:

227.0ms	(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (pow.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)) 1/2)))
182.0ms	(-.f64 (-.f64 C A) (pow.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)) 1/2))
150.0ms	(pow.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)) 1/2)
77.0ms	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (pow.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)) 1/2)))) PI.f64))

Compiler

Compiled 8201 to 6392 computations (22.1% saved)

simplify249.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

232×	`associate-r_binary64`
215×	`associate-l_binary64`
206×	`associate--r+_binary64`
201×	`associate-+l+_binary64`
194×	`sub-neg_binary64`
182×	`associate--l+_binary64`
175×	`associate-/l*_binary64`
144×	`associate-*l/_binary64`
140×	`*-commutative_binary64`
127×	`associate-*r/_binary64`
123×	`+-commutative_binary64`
112×	`cancel-sign-sub-inv_binary64`
97×	`times-frac_binary64`
93×	`distribute-neg-in_binary64`
85×	`associate-/r*_binary64`
75×	`exp-prod_binary64` `neg-sub0_binary64`
73×	`neg-mul-1_binary64`
65×	`distribute-rgt-in_binary64`
62×	`sqr-pow_binary64`
59×	`distribute-lft-in_binary64` `associate-+r+_binary64`
35×	`distribute-rgt-neg-in_binary64`
29×	`distribute-lft-neg-in_binary64`
25×	`log-prod_binary64`
20×	`div-sub_binary64` `*-lft-identity_binary64` `associate-/r/_binary64`
19×	`distribute-lft-neg-out_binary64`
16×	`log-pow_binary64` `associate-/l/_binary64` `associate-+r-_binary64`
15×	`unpow1/2_binary64`
14×	`distribute-rgt-out_binary64`
12×	`cube-unmult_binary64` `*-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
10×	`mul-1-neg_binary64` `distribute-neg-frac_binary64` `associate--l-_binary64`
9×	`log-div_binary64` `unpow3_binary64` `exp-sum_binary64` `associate-+l-_binary64`
8×	`exp-diff_binary64` `cube-mult_binary64`
7×	`swap-sqr_binary64` `distribute-lft-out_binary64`
5×	`unpow1_binary64` `unsub-neg_binary64`
4×	`unpow2_binary64` `unpow-1_binary64` `pow-sqr_binary64` `unswap-sqr_binary64`
3×	`log-rec_binary64` `pow-plus_binary64` `div-exp_binary64` `rem-sqrt-square_binary64`
2×	`pow-base-1_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-prod_binary64` `sub0-neg_binary64` `distribute-neg-out_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `--rgt-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

258 → 228

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	594	8531
1	1613	7761
2	4816	7761
3	4996	7761
4	4956	7761

prune180.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	225	3	228
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	229	9	238

Error

0.7b

Counts

238 → 9

Compiler

Compiled 5613 to 2822 computations (49.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))) B)
0.0b	(.f64 (.f64 180 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))) B))) (/.f64 1 PI.f64))
0.9b	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
34.6b	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))

rewrite217.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

52×	`*-un-lft-identity_binary64`
48×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
28×	`add-exp-log_binary64`
27×	`add-cube-cbrt_binary64`
18×	`add-cbrt-cube_binary64`
15×	`distribute-lft-out--_binary64`
13×	`associate-r_binary64`
12×	`prod-exp_binary64`
11×	`sqrt-prod_binary64`
10×	`pow1_binary64` `sqrt-div_binary64` `difference-of-squares_binary64`
9×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
8×	`frac-sub_binary64`
7×	`associate-/l*_binary64`
6×	`flip3--_binary64` `flip--_binary64` `cbrt-unprod_binary64` `associate-/l/_binary64`
5×	`flip3-+_binary64` `flip-+_binary64` `div-exp_binary64`
4×	`associate--l+_binary64`
3×	`diff-log_binary64` `pow-prod-down_binary64` `cbrt-undiv_binary64` `associate-/r*_binary64`
2×	`sub-neg_binary64` `1-exp_binary64` `rec-exp_binary64` `div-inv_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate--l-_binary64` `un-div-inv_binary64` `associate-r/_binary64` `associate-l_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`

Counts

4 → 134

Calls

4 calls:

22.0ms	(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))) B)
16.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
9.0ms	(.f64 (.f64 180 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))) B))) (/.f64 1 PI.f64))
7.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))

Compiler

Compiled 4616 to 2340 computations (49.3% saved)

series535.0ms (5%)

Error

0.7b

Counts

4 → 95

Calls

4 calls:

127.0ms	(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))) B)
112.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
101.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
75.0ms	(.f64 (.f64 180 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))) B))) (/.f64 1 PI.f64))

Compiler

Compiled 7733 to 6033 computations (22% saved)

simplify205.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

224×	`associate-r_binary64`
221×	`times-frac_binary64`
220×	`associate-l_binary64`
215×	`associate-/l*_binary64`
197×	`sub-neg_binary64`
177×	`associate--l+_binary64`
162×	`associate--r+_binary64`
160×	`associate-/r*_binary64`
138×	`cancel-sign-sub-inv_binary64`
134×	`*-commutative_binary64`
131×	`associate-*r/_binary64`
109×	`div-sub_binary64` `+-commutative_binary64`
105×	`associate-*l/_binary64`
93×	`distribute-neg-in_binary64`
82×	`neg-mul-1_binary64` `neg-sub0_binary64`
67×	`distribute-rgt-in_binary64`
64×	`distribute-lft-in_binary64`
57×	`distribute-rgt-neg-in_binary64`
48×	`associate-+r+_binary64`
45×	`exp-prod_binary64`
40×	`distribute-lft-neg-in_binary64`
30×	`sqr-pow_binary64` `associate-/r/_binary64`
28×	`associate-/l/_binary64`
23×	`cube-prod_binary64`
22×	`distribute-lft-out_binary64`
20×	`log-prod_binary64` `distribute-rgt-out_binary64`
15×	`distribute-lft-neg-out_binary64`
12×	`log-div_binary64` `distribute-neg-frac_binary64`
11×	`cube-unmult_binary64`
10×	`unpow3_binary64` `exp-diff_binary64`
9×	`cube-mult_binary64`
8×	`exp-sum_binary64` `*-rgt-identity_binary64` `unswap-sqr_binary64`
7×	`cube-div_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `difference-of-squares_binary64` `swap-sqr_binary64`
6×	`mul-1-neg_binary64`
5×	`rem-sqrt-square_binary64` `associate-+r-_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `associate-+l+_binary64`
3×	`pow-plus_binary64` `div-exp_binary64` `rem-square-sqrt_binary64` `distribute-rgt-neg-out_binary64` `associate--l-_binary64`
2×	`log-rec_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_binary64` `pow-sqr_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
1×	`log-pow_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-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` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

229 → 156

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	573	8329
1	1596	7747
2	4789	7744
3	5103	7744

prune156.0ms (1.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	151	5	156
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	153	12	165

Error

0.7b

Counts

165 → 12

Compiler

Compiled 4610 to 2292 computations (50.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(atan.f64 (neg.f64 (/.f64 (-.f64 A (+.f64 B C)) B)))
0.0b	(*.f64 180 (/.f64 (atan.f64 (neg.f64 (/.f64 (-.f64 A (+.f64 B C)) B))) PI.f64))
0.0b	(/.f64 (-.f64 A (+.f64 B C)) B)
0.0b	(/.f64 (atan.f64 (neg.f64 (/.f64 (-.f64 A (+.f64 B C)) B))) PI.f64)

rewrite124.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

51×	`*-un-lft-identity_binary64`
44×	`add-sqr-sqrt_binary64`
37×	`times-frac_binary64`
31×	`add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-r_binary64`
9×	`associate-/l*_binary64`
8×	`distribute-lft-out--_binary64`
6×	`pow1_binary64` `associate-/r*_binary64`
4×	`add-log-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `atan-neg_binary64` `associate-l_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `distribute-frac-neg_binary64` `associate-/l/_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`div-sub_binary64` `flip3--_binary64` `flip--_binary64` `pow-prod-down_binary64` `distribute-rgt-neg-out_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

4 → 111

Calls

4 calls:

10.0ms	(/.f64 (-.f64 A (+.f64 B C)) B)
6.0ms	(*.f64 180 (/.f64 (atan.f64 (neg.f64 (/.f64 (-.f64 A (+.f64 B C)) B))) PI.f64))
3.0ms	(/.f64 (atan.f64 (neg.f64 (/.f64 (-.f64 A (+.f64 B C)) B))) PI.f64)
1.0ms	(atan.f64 (neg.f64 (/.f64 (-.f64 A (+.f64 B C)) B)))

Compiler

Compiled 2369 to 621 computations (73.8% saved)

series136.0ms (1.3%)

Error

0.7b

Counts

4 → 45

Calls

4 calls:

43.0ms	(*.f64 180 (/.f64 (atan.f64 (neg.f64 (/.f64 (-.f64 A (+.f64 B C)) B))) PI.f64))
39.0ms	(/.f64 (-.f64 A (+.f64 B C)) B)
29.0ms	(/.f64 (atan.f64 (neg.f64 (/.f64 (-.f64 A (+.f64 B C)) B))) PI.f64)
18.0ms	(atan.f64 (neg.f64 (/.f64 (-.f64 A (+.f64 B C)) B)))

Compiler

Compiled 1206 to 1115 computations (7.5% saved)

simplify147.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

423×	`associate-/r*_binary64`
417×	`associate-+l+_binary64`
413×	`div-sub_binary64`
393×	`unsub-neg_binary64`
319×	`associate-/r/_binary64`
189×	`associate-*l/_binary64`
182×	`neg-mul-1_binary64`
181×	`neg-sub0_binary64`
178×	`associate-/l*_binary64`
169×	`associate-*r/_binary64`
138×	`sub-neg_binary64` `distribute-rgt-in_binary64`
130×	`distribute-lft-in_binary64`
126×	`associate-/l/_binary64`
122×	`associate-l_binary64`
117×	`*-commutative_binary64`
81×	`associate-r_binary64`
79×	`times-frac_binary64`
74×	`distribute-rgt-neg-out_binary64`
72×	`associate-+r+_binary64`
71×	`distribute-lft-neg-out_binary64`
65×	`associate--r+_binary64`
63×	`associate-+l-_binary64`
56×	`associate-+r-_binary64` `+-commutative_binary64`
52×	`exp-diff_binary64`
47×	`exp-sum_binary64`
38×	`associate--r-_binary64`
37×	`cancel-sign-sub-inv_binary64` `associate--l-_binary64`
28×	`distribute-neg-in_binary64`
25×	`associate--l+_binary64`
24×	`distribute-neg-frac_binary64`
23×	`sqr-pow_binary64`
21×	`distribute-rgt-out_binary64`
20×	`log-div_binary64` `exp-prod_binary64`
19×	`distribute-frac-neg_binary64`
15×	`/-rgt-identity_binary64`
14×	`cube-div_binary64`
13×	`log-prod_binary64` `*-rgt-identity_binary64` `sub0-neg_binary64`
12×	`cube-prod_binary64`
10×	`*-lft-identity_binary64` `+-rgt-identity_binary64`
8×	`swap-sqr_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
7×	`cube-unmult_binary64`
6×	`mul-1-neg_binary64`
5×	`unpow3_binary64` `sqr-neg_binary64`
4×	`cube-mult_binary64` `remove-double-neg_binary64`
3×	`cube-neg_binary64`
2×	`pow-sqr_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `--rgt-identity_binary64` `div0_binary64` `*-inverses_binary64` `unswap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_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` `pow-base-0_binary64` `unpow1/3_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` `div-exp_binary64` `rec-exp_binary64` `prod-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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Counts

156 → 140

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	3389
1	391	3124
2	917	2881
3	2331	2879
4	4404	2879
5	5107	2879

prune90.0ms (0.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	140	12	152

Error

0.7b

Counts

152 → 12

Compiler

Compiled 1875 to 863 computations (54% saved)

regimes3.0s (27.9%)

Accuracy

Total 15.6b remaining (96.5%)

Threshold costs 0b (0%)

Compiler

Compiled 32343 to 27279 computations (15.7% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 18 to 15 computations (16.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative_binary64`
23×	`*-commutative_binary64`
19×	`sub-neg_binary64`
12×	`neg-mul-1_binary64` `neg-sub0_binary64`
8×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
4×	`unsub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-in_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` `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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	182
1	95	182
2	129	182
3	164	182
4	181	182
5	187	182
6	188	182
7	185	182

end3.0ms (0%)

Compiler: Compiled 118 to 76 computations (35.6% saved)

sample2.7s (25.4%)

Algorithm

1×

intervals

Results

700.0ms	866×	body	4096	valid
554.0ms	5491×	body	128	valid
499.0ms	833×	body	2048	valid
193.0ms	440×	body	1024	valid
81.0ms	245×	body	512	valid
26.0ms	125×	body	256	valid

Compiler

Compiled 445 to 342 computations (23.1% saved)

Details

analyze326.0ms (3%)

sample77.0ms (0.7%)

simplify76.0ms (0.7%)

prune4.0ms (0%)

localize15.0ms (0.1%)

rewrite363.0ms (3.4%)

series561.0ms (5.2%)

simplify220.0ms (2%)

prune224.0ms (2.1%)

localize17.0ms (0.2%)

rewrite304.0ms (2.8%)

series750.0ms (7%)

simplify249.0ms (2.3%)

prune180.0ms (1.7%)

localize15.0ms (0.1%)

rewrite217.0ms (2%)

series535.0ms (5%)

simplify205.0ms (1.9%)

prune156.0ms (1.5%)

localize9.0ms (0.1%)

rewrite124.0ms (1.2%)

series136.0ms (1.3%)

simplify147.0ms (1.4%)

prune90.0ms (0.8%)

regimes3.0s (27.9%)

bsearch8.0ms (0.1%)

simplify10.0ms (0.1%)

end3.0ms (0%)

sample2.7s (25.4%)

Profiling