Details

analyze1.2s (9.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

520×	`sub-neg_binary64`
373×	`div-sub_binary64`
267×	`log-prod_binary64`
240×	`associate-/r*_binary64`
225×	`sqr-pow_binary64`
204×	`difference-of-squares_binary64`
202×	`distribute-rgt-in_binary64`
195×	`associate-/l*_binary64`
192×	`cancel-sign-sub-inv_binary64`
173×	`distribute-lft-in_binary64`
168×	`*-commutative_binary64`
155×	`associate-/l/_binary64`
145×	`neg-mul-1_binary64`
135×	`neg-sub0_binary64` `pow-sqr_binary64`
126×	`unsub-neg_binary64`
116×	`times-frac_binary64`
112×	`distribute-rgt-neg-in_binary64` `associate-l_binary64`
105×	`distribute-lft-neg-in_binary64`
104×	`associate-*r/_binary64`
103×	`exp-prod_binary64`
101×	`associate-r_binary64`
99×	`associate-*l/_binary64`
80×	`unswap-sqr_binary64`
75×	`associate-/r/_binary64`
69×	`log-div_binary64`
62×	`*-lft-identity_binary64`
53×	`+-commutative_binary64`
46×	`div0_binary64` `distribute-neg-in_binary64`
44×	`*-rgt-identity_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64`
43×	`exp-diff_binary64`
40×	`sub0-neg_binary64`
38×	`associate--r+_binary64`
35×	`distribute-lft-neg-out_binary64`
29×	`prod-exp_binary64` `exp-sum_binary64`
23×	`exp-sqrt_binary64` `associate-+l-_binary64`
21×	`remove-double-neg_binary64`
20×	`rem-sqrt-square_binary64` `associate-+r+_binary64`
19×	`associate-+l+_binary64`
18×	`cube-prod_binary64`
16×	`cube-unmult_binary64` `associate-+r-_binary64`
15×	`unpow3_binary64` `/-rgt-identity_binary64` `+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
14×	`pow-plus_binary64`
13×	`exp-lft-sqr_binary64`
12×	`associate--r-_binary64`
11×	`+-lft-identity_binary64` `distribute-frac-neg_binary64`
10×	`--rgt-identity_binary64`
9×	`associate--l+_binary64`
6×	`div-exp_binary64` `rec-exp_binary64`
5×	`cube-mult_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
2×	`sqr-neg_binary64` `distribute-lft-out--_binary64`
1×	`unpow2_binary64` `unpow-1_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-square-sqrt_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_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` `mul-1-neg_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` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	49	61
2	117	59
3	292	55
4	689	55
5	1392	55
6	3381	55
7	4578	55
8	4212	55
9	4795	55
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	75%	25%	3
0%	62.5%	37.5%	4
0%	56.2%	43.8%	5
3.1%	46.9%	50%	6
3.1%	45.3%	51.6%	7
3.1%	44.5%	52.4%	8
3.5%	44.1%	52.4%	9
3.7%	43.9%	52.4%	10
3.8%	43.8%	52.4%	11
3.8%	43.8%	52.4%	12
3.8%	43.8%	52.4%	13
3.8%	43.7%	52.4%	14

Compiler

Compiled 38 to 31 computations (18.4% saved)

sample211.0ms (1.7%)

Algorithm

1×

intervals

Results

59.0ms	118×	body	1024	valid
51.0ms	112×	body	1024	nan
25.0ms	61×	body	512	valid
24.0ms	21×	body	2048	valid
18.0ms	55×	body	512	nan
9.0ms	39×	body	256	valid
5.0ms	24×	body	256	nan
2.0ms	17×	body	128	valid

Compiler

Compiled 75 to 62 computations (17.3% saved)

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

520×	`sub-neg_binary64`
373×	`div-sub_binary64`
267×	`log-prod_binary64`
240×	`associate-/r*_binary64`
225×	`sqr-pow_binary64`
204×	`difference-of-squares_binary64`
202×	`distribute-rgt-in_binary64`
195×	`associate-/l*_binary64`
192×	`cancel-sign-sub-inv_binary64`
173×	`distribute-lft-in_binary64`
168×	`*-commutative_binary64`
155×	`associate-/l/_binary64`
145×	`neg-mul-1_binary64`
135×	`neg-sub0_binary64` `pow-sqr_binary64`
126×	`unsub-neg_binary64`
116×	`times-frac_binary64`
112×	`distribute-rgt-neg-in_binary64` `associate-l_binary64`
105×	`distribute-lft-neg-in_binary64`
104×	`associate-*r/_binary64`
103×	`exp-prod_binary64`
101×	`associate-r_binary64`
99×	`associate-*l/_binary64`
80×	`unswap-sqr_binary64`
75×	`associate-/r/_binary64`
69×	`log-div_binary64`
62×	`*-lft-identity_binary64`
53×	`+-commutative_binary64`
46×	`div0_binary64` `distribute-neg-in_binary64`
44×	`*-rgt-identity_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64`
43×	`exp-diff_binary64`
40×	`sub0-neg_binary64`
38×	`associate--r+_binary64`
35×	`distribute-lft-neg-out_binary64`
29×	`prod-exp_binary64` `exp-sum_binary64`
23×	`exp-sqrt_binary64` `associate-+l-_binary64`
21×	`remove-double-neg_binary64`
20×	`rem-sqrt-square_binary64` `associate-+r+_binary64`
19×	`associate-+l+_binary64`
18×	`cube-prod_binary64`
16×	`cube-unmult_binary64` `associate-+r-_binary64`
15×	`unpow3_binary64` `/-rgt-identity_binary64` `+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
14×	`pow-plus_binary64`
13×	`exp-lft-sqr_binary64`
12×	`associate--r-_binary64`
11×	`+-lft-identity_binary64` `distribute-frac-neg_binary64`
10×	`--rgt-identity_binary64`
9×	`associate--l+_binary64`
6×	`div-exp_binary64` `rec-exp_binary64`
5×	`cube-mult_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
2×	`sqr-neg_binary64` `distribute-lft-out--_binary64`
1×	`unpow2_binary64` `unpow-1_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-square-sqrt_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_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` `mul-1-neg_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` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	49	61
2	117	59
3	292	55
4	689	55
5	1392	55
6	3381	55
7	4578	55
8	4212	55
9	4795	55

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

61.7b

Counts

2 → 1

Compiler

Compiled 64 to 48 computations (25% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 PI.f64 4) f)
0.3b	(*.f64 (/.f64 PI.f64 4) f)
2.2b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))))
3.6b	(-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)))

rewrite551.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

61.7b

Rules

75×	`add-sqr-sqrt_binary64`
63×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
35×	`add-cube-cbrt_binary64`
26×	`associate-l_binary64`
18×	`difference-of-squares_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`unpow-prod-down_binary64`
8×	`pow1_binary64` `distribute-lft-out_binary64`
7×	`sqr-pow_binary64` `cancel-sign-sub-inv_binary64` `associate-/r*_binary64`
6×	`add-log-exp_binary64` `distribute-lft-out--_binary64` `associate-r_binary64`
4×	`associate-/l*_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
2×	`flip3--_binary64` `flip--_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

4 → 141

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))))
8.0ms	(-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)))
7.0ms	(*.f64 (/.f64 PI.f64 4) f)
6.0ms	(*.f64 (/.f64 PI.f64 4) f)

Compiler

Compiled 5775 to 3852 computations (33.3% saved)

series88.0ms (0.7%)

Error

3.0b

Counts

4 → 12

Calls

4 calls:

28.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))))
26.0ms	(-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)))
11.0ms	(*.f64 (/.f64 PI.f64 4) f)
11.0ms	(*.f64 (/.f64 PI.f64 4) f)

Compiler

Compiled 1112 to 841 computations (24.4% saved)

simplify196.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

609×	`associate-l_binary64`
558×	`times-frac_binary64`
545×	`associate-r_binary64`
231×	`associate-*l/_binary64`
214×	`exp-prod_binary64`
188×	`*-commutative_binary64`
187×	`associate-/l*_binary64`
178×	`associate-*r/_binary64`
143×	`distribute-rgt-in_binary64`
132×	`distribute-lft-in_binary64`
88×	`cube-prod_binary64`
86×	`associate-/l/_binary64`
81×	`cancel-sign-sub-inv_binary64`
71×	`associate-/r*_binary64`
57×	`sqr-pow_binary64`
56×	`distribute-rgt-neg-in_binary64`
53×	`unswap-sqr_binary64`
50×	`sub-neg_binary64`
49×	`associate-/r/_binary64` `+-commutative_binary64`
43×	`distribute-lft-neg-in_binary64`
37×	`distribute-rgt-out_binary64`
36×	`neg-mul-1_binary64`
34×	`associate-+l+_binary64`
32×	`log-div_binary64` `neg-sub0_binary64`
30×	`log-prod_binary64`
29×	`cube-div_binary64`
25×	`exp-sum_binary64`
23×	`pow-sqr_binary64` `distribute-lft-neg-out_binary64`
22×	`cube-unmult_binary64` `associate-+r+_binary64`
21×	`associate-+l-_binary64`
20×	`associate-+r-_binary64`
18×	`*-rgt-identity_binary64`
17×	`div-sub_binary64`
16×	`swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
14×	`unpow3_binary64`
12×	`cube-mult_binary64` `difference-of-squares_binary64`
11×	`exp-diff_binary64`
10×	`rem-sqrt-square_binary64`
9×	`*-lft-identity_binary64`
8×	`prod-exp_binary64` `distribute-rgt-out--_binary64`
7×	`unsub-neg_binary64` `distribute-neg-frac_binary64` `distribute-lft-out_binary64`
6×	`pow-plus_binary64` `distribute-neg-in_binary64`
5×	`exp-sqrt_binary64` `associate--l-_binary64`
4×	`log-rec_binary64` `pow-base-1_binary64` `/-rgt-identity_binary64` `count-2_binary64` `associate--r+_binary64`
3×	`+-rgt-identity_binary64` `distribute-neg-out_binary64`
2×	`div-exp_binary64` `rec-exp_binary64` `rem-square-sqrt_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64`
1×	`unpow1/2_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `distribute-lft1-in_binary64` `distribute-lft-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` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

153 → 137

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	5780
1	467	5401
2	1153	5399
3	3915	5387
4	5172	5387

prune140.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	4	138

Error

3.0b

Counts

138 → 4

Compiler

Compiled 4757 to 3201 computations (32.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(.f64 f (.f64 PI.f64 1/2))
0.3b	(/.f64 2 (.f64 f (.f64 PI.f64 1/2)))
0.4b	(.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 PI.f64 1/2)))) (/.f64 -4 PI.f64))

rewrite109.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

2.6b

Rules

22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
13×	`times-frac_binary64`
11×	`pow1_binary64`
8×	`prod-exp_binary64` `cbrt-unprod_binary64`
7×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
3×	`add-log-exp_binary64` `associate-/l*_binary64`
2×	`unswap-sqr_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`associate-r/_binary64` `log-pow_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r_binary64`

Counts

3 → 74

Calls

3 calls:

10.0ms	(.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 PI.f64 1/2)))) (/.f64 -4 PI.f64))
6.0ms	(/.f64 2 (.f64 f (.f64 PI.f64 1/2)))
5.0ms	(.f64 f (.f64 PI.f64 1/2))

Compiler

Compiled 1346 to 1018 computations (24.4% saved)

series44.0ms (0.4%)

Error

2.9b

Counts

3 → 9

Calls

3 calls:

23.0ms	(.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 PI.f64 1/2)))) (/.f64 -4 PI.f64))
8.0ms	(/.f64 2 (.f64 f (.f64 PI.f64 1/2)))
7.0ms	(.f64 f (.f64 PI.f64 1/2))

Compiler

Compiled 265 to 233 computations (12.1% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

617×	`div-sub_binary64`
379×	`associate-/r*_binary64`
321×	`associate-*l/_binary64`
305×	`associate-/l*_binary64`
267×	`associate-/l/_binary64`
262×	`times-frac_binary64`
260×	`distribute-rgt-in_binary64`
248×	`distribute-lft-in_binary64`
136×	`associate-l_binary64`
116×	`associate-r_binary64`
82×	`exp-sum_binary64` `*-commutative_binary64`
75×	`associate-/r/_binary64`
53×	`log-div_binary64`
52×	`associate-*r/_binary64`
51×	`exp-prod_binary64`
45×	`log-prod_binary64` `sub-neg_binary64`
43×	`cube-div_binary64`
34×	`exp-diff_binary64`
28×	`cube-prod_binary64`
20×	`swap-sqr_binary64` `distribute-lft-neg-out_binary64`
19×	`sqr-pow_binary64`
18×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
17×	`distribute-rgt-out_binary64`
15×	`div-exp_binary64`
14×	`prod-exp_binary64`
13×	`neg-mul-1_binary64` `neg-sub0_binary64`
12×	`distribute-rgt-neg-in_binary64` `+-commutative_binary64`
11×	`unpow3_binary64` `rem-exp-log_binary64` `cube-mult_binary64`
10×	`distribute-neg-in_binary64` `distribute-lft-neg-in_binary64`
9×	`cube-unmult_binary64`
7×	`log-rec_binary64`
6×	`cancel-sign-sub-inv_binary64` `associate--r+_binary64`
5×	`/-rgt-identity_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
4×	`unpow1/2_binary64` `exp-to-pow_binary64` `exp-neg_binary64` `associate-+l+_binary64`
3×	`sqr-neg_binary64` `unsub-neg_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `associate-+r+_binary64`
2×	`log-pow_binary64` `rem-sqrt-square_binary64`
1×	`log-E_binary64` `pow-plus_binary64` `exp-lft-sqr_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `distribute-neg-frac_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_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` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l+_binary64`

Counts

83 → 71

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1630
1	340	1221
2	1281	1210
3	4416	1210
4	5859	1210

prune71.0ms (0.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	61	10	71
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	62	13	75

Error

2.7b

Counts

75 → 13

Compiler

Compiled 1085 to 773 computations (28.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(*.f64 PI.f64 f)
0.3b	(/.f64 4 (*.f64 PI.f64 f))
0.4b	(/.f64 (log.f64 (/.f64 4 (*.f64 PI.f64 f))) PI.f64)

rewrite104.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

2.6b

Rules

18×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
15×	`times-frac_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
7×	`associate-/l*_binary64`
4×	`log-pow_binary64` `associate-/r*_binary64`
3×	`div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
1×	`log-div_binary64` `div-sub_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

3 → 71

Calls

3 calls:

6.0ms	(/.f64 (log.f64 (/.f64 4 (*.f64 PI.f64 f))) PI.f64)
4.0ms	(/.f64 4 (*.f64 PI.f64 f))
4.0ms	(*.f64 PI.f64 f)

Compiler

Compiled 1067 to 651 computations (39% saved)

series37.0ms (0.3%)

Error

2.6b

Counts

3 → 9

Calls

3 calls:

18.0ms	(/.f64 (log.f64 (/.f64 4 (*.f64 PI.f64 f))) PI.f64)
8.0ms	(/.f64 4 (*.f64 PI.f64 f))
6.0ms	(*.f64 PI.f64 f)

Compiler

Compiled 251 to 220 computations (12.4% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

771×	`div-sub_binary64`
628×	`associate-/l*_binary64`
559×	`sub-neg_binary64`
349×	`associate-/r/_binary64`
330×	`unsub-neg_binary64`
245×	`neg-sub0_binary64`
240×	`neg-mul-1_binary64`
178×	`associate-/r*_binary64`
146×	`associate-l_binary64`
128×	`distribute-rgt-in_binary64`
126×	`times-frac_binary64`
125×	`distribute-lft-in_binary64`
116×	`associate-/l/_binary64`
108×	`associate-*l/_binary64`
97×	`distribute-rgt-neg-out_binary64`
94×	`associate-r_binary64`
84×	`associate-*r/_binary64`
80×	`distribute-lft-neg-out_binary64`
68×	`*-commutative_binary64`
56×	`distribute-frac-neg_binary64` `distribute-neg-in_binary64`
38×	`exp-diff_binary64`
35×	`cancel-sign-sub-inv_binary64`
27×	`/-rgt-identity_binary64`
26×	`sqr-pow_binary64`
23×	`associate--r+_binary64`
20×	`distribute-rgt-neg-in_binary64`
18×	`log-div_binary64` `associate--r-_binary64`
17×	`distribute-neg-frac_binary64` `associate-+l-_binary64` `+-commutative_binary64`
16×	`associate-+r-_binary64`
15×	`swap-sqr_binary64` `distribute-lft-neg-in_binary64`
13×	`log-prod_binary64` `exp-prod_binary64` `*-lft-identity_binary64`
12×	`associate-+l+_binary64`
10×	`exp-sum_binary64` `cube-div_binary64`
9×	`*-rgt-identity_binary64` `associate-+r+_binary64`
8×	`cube-prod_binary64` `+-rgt-identity_binary64`
6×	`cube-unmult_binary64` `unswap-sqr_binary64`
4×	`sub0-neg_binary64` `pow-sqr_binary64` `associate--l+_binary64`
3×	`exp-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64`
2×	`log-rec_binary64` `unpow3_binary64` `unpow1/2_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `distribute-neg-out_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `mul0-rgt_binary64` `mul0-lft_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` `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` `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-square-sqrt_binary64` `mul-1-neg_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Counts

80 → 31

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	125	1283
1	223	1152
2	696	1152
3	1912	1152
4	4136	1152
5	5451	1152

prune34.0ms (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	30	14	44

Error

2.6b

Counts

44 → 14

Compiler

Compiled 559 to 420 computations (24.9% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(-.f64 (log.f64 f) (log.f64 (/.f64 4 PI.f64)))
0.4b	(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 PI.f64))) (neg.f64 PI.f64))
2.0b	(log.f64 (/.f64 4 PI.f64))

rewrite187.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

2.6b

Rules

105×	`*-un-lft-identity_binary64`
98×	`times-frac_binary64`
81×	`add-sqr-sqrt_binary64`
57×	`add-cube-cbrt_binary64`
53×	`pow1_binary64`
50×	`log-pow_binary64`
48×	`distribute-lft-out--_binary64`
29×	`log-prod_binary64`
27×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
13×	`associate--r+_binary64`
12×	`difference-of-squares_binary64`
10×	`associate-/r*_binary64`
9×	`neg-mul-1_binary64`
8×	`add-exp-log_binary64` `associate-/l*_binary64`
5×	`add-cbrt-cube_binary64`
4×	`cancel-sign-sub-inv_binary64`
3×	`div-inv_binary64` `add-log-exp_binary64` `associate--l+_binary64`
2×	`log-div_binary64` `div-exp_binary64` `rem-log-exp_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64`
1×	`cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `diff-log_binary64` `sub-neg_binary64` `associate--r-_binary64`

Counts

3 → 174

Calls

3 calls:

10.0ms	(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 PI.f64))) (neg.f64 PI.f64))
7.0ms	(-.f64 (log.f64 f) (log.f64 (/.f64 4 PI.f64)))
3.0ms	(log.f64 (/.f64 4 PI.f64))

Compiler

Compiled 2601 to 1587 computations (39% saved)

series53.0ms (0.4%)

Error

2.6b

Counts

3 → 6

Calls

3 calls:

27.0ms	(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 PI.f64))) (neg.f64 PI.f64))
20.0ms	(-.f64 (log.f64 f) (log.f64 (/.f64 4 PI.f64)))
0.0ms	(log.f64 (/.f64 4 PI.f64))

Compiler

Compiled 267 to 236 computations (11.6% saved)

simplify216.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

419×	`sub-neg_binary64`
352×	`associate-/r*_binary64`
235×	`unsub-neg_binary64`
208×	`associate-r_binary64`
203×	`associate-l_binary64`
196×	`times-frac_binary64`
189×	`distribute-rgt-in_binary64`
188×	`div-sub_binary64`
182×	`associate-/l*_binary64`
168×	`distribute-lft-in_binary64`
165×	`neg-sub0_binary64`
141×	`neg-mul-1_binary64`
127×	`log-div_binary64`
121×	`*-commutative_binary64`
110×	`associate-/l/_binary64`
100×	`+-commutative_binary64`
86×	`associate-*l/_binary64`
83×	`exp-sum_binary64`
80×	`associate--r-_binary64`
73×	`associate-*r/_binary64`
71×	`log-prod_binary64`
67×	`associate-/r/_binary64`
65×	`exp-prod_binary64`
60×	`associate-+r-_binary64`
57×	`exp-diff_binary64`
48×	`distribute-neg-frac_binary64` `associate--r+_binary64`
46×	`cancel-sign-sub-inv_binary64`
44×	`cube-prod_binary64` `distribute-neg-in_binary64`
43×	`distribute-lft-neg-out_binary64`
42×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-in_binary64`
37×	`associate-+l-_binary64` `associate-+l+_binary64`
36×	`distribute-rgt-neg-in_binary64`
35×	`associate-+r+_binary64`
24×	`log-pow_binary64`
22×	`distribute-frac-neg_binary64`
21×	`associate--l-_binary64`
18×	`associate--l+_binary64`
16×	`cube-div_binary64`
13×	`log-rec_binary64`
11×	`/-rgt-identity_binary64` `*-rgt-identity_binary64`
10×	`distribute-neg-out_binary64`
9×	`cube-unmult_binary64` `sqr-pow_binary64`
8×	`mul-1-neg_binary64` `distribute-rgt-out_binary64`
7×	`exp-to-pow_binary64` `remove-double-neg_binary64`
6×	`rem-exp-log_binary64`
5×	`unpow3_binary64` `cube-neg_binary64` `+-rgt-identity_binary64` `div0_binary64` `count-2_binary64`
4×	`sqr-neg_binary64` `*-lft-identity_binary64` `swap-sqr_binary64`
3×	`prod-exp_binary64` `cube-mult_binary64` `difference-of-squares_binary64`
2×	`rec-exp_binary64` `rem-sqrt-square_binary64` `unswap-sqr_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `+-inverses_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` `unpow2_binary64` `unpow1/2_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` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Counts

180 → 117

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	4488
1	509	4319
2	1279	4225
3	4024	4222
4	4958	4222
5	4978	4222

prune73.0ms (0.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	112	5	117
Fresh	3	9	12
Picked	1	0	1
Done	1	0	1
Total	117	14	131

Error

2.6b

Counts

131 → 14

Compiler

Compiled 1209 to 743 computations (38.5% saved)

regimes1.6s (12.8%)

Accuracy

Total 1.1b remaining (72.9%)

Threshold costs 0b (0%)

Compiler

Compiled 21960 to 17852 computations (18.7% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`1-exp_binary64` `*-lft-identity_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	31
1	24	31
2	23	31

end1.0ms (0%)

Compiler: Compiled 19 to 16 computations (15.8% saved)

sample7.0s (57.4%)

Algorithm

1×

intervals

Results

1.9s	3842×	body	1024	valid
1.8s	3879×	body	1024	nan
693.0ms	1935×	body	512	valid
645.0ms	1970×	body	512	nan
533.0ms	511×	body	2048	valid
257.0ms	1043×	body	256	valid
224.0ms	1009×	body	256	nan
85.0ms	669×	body	128	valid
0.0ms	4×	body	128	overflowed
0.0ms	2×	body	128	nan

Compiler

Compiled 412 to 335 computations (18.7% saved)

Details

analyze1.2s (9.8%)

sample211.0ms (1.7%)

simplify87.0ms (0.7%)

prune8.0ms (0.1%)

localize19.0ms (0.2%)

rewrite551.0ms (4.5%)

series88.0ms (0.7%)

simplify196.0ms (1.6%)

prune140.0ms (1.2%)

localize8.0ms (0.1%)

rewrite109.0ms (0.9%)

series44.0ms (0.4%)

simplify89.0ms (0.7%)

prune71.0ms (0.6%)

localize8.0ms (0.1%)

rewrite104.0ms (0.8%)

series37.0ms (0.3%)

simplify90.0ms (0.7%)

prune34.0ms (0.3%)

localize10.0ms (0.1%)

rewrite187.0ms (1.5%)

series53.0ms (0.4%)

simplify216.0ms (1.8%)

prune73.0ms (0.6%)

regimes1.6s (12.8%)

bsearch7.0ms (0.1%)

simplify3.0ms (0%)

end1.0ms (0%)

sample7.0s (57.4%)

Profiling