Details

analyze1.3s (7.5%)

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)

sample205.0ms (1.2%)

Algorithm

1×

intervals

Results

59.0ms	121×	body	1024	valid
48.0ms	103×	body	1024	nan
26.0ms	74×	body	512	valid
24.0ms	64×	body	512	nan
13.0ms	12×	body	2048	valid
7.0ms	29×	body	256	valid
5.0ms	21×	body	256	nan
2.0ms	20×	body	128	valid

Compiler

Compiled 75 to 62 computations (17.3% saved)

simplify83.0ms (0.5%)

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

prune10.0ms (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

62.2b

Counts

2 → 1

Compiler

Compiled 64 to 48 computations (25% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 PI.f64 4) f)
0.5b	(log.f64 (/.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)))))
1.2b	(/.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))))
5.4b	(-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)))

rewrite824.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

62.1b

Rules

94×	`add-sqr-sqrt_binary64`
89×	`*-un-lft-identity_binary64`
66×	`times-frac_binary64`
39×	`add-cube-cbrt_binary64`
34×	`log-prod_binary64`
30×	`difference-of-squares_binary64`
15×	`distribute-lft-out_binary64`
14×	`add-exp-log_binary64`
13×	`unpow-prod-down_binary64` `associate-l_binary64`
11×	`add-cbrt-cube_binary64` `sqr-pow_binary64`
10×	`distribute-lft-out--_binary64`
7×	`pow1_binary64` `cancel-sign-sub-inv_binary64` `associate-/r*_binary64`
6×	`add-log-exp_binary64`
4×	`associate-/r/_binary64` `associate-/l*_binary64`
3×	`flip3--_binary64` `flip--_binary64` `div-exp_binary64` `div-inv_binary64` `associate-r_binary64`
2×	`cbrt-undiv_binary64` `associate-/l/_binary64` `rem-log-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `flip-+_binary64` `log-pow_binary64` `log-div_binary64` `pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 154

Calls

4 calls:

14.0ms	(/.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))))
13.0ms	(log.f64 (/.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)))))
9.0ms	(-.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)

Compiler

Compiled 6588 to 4435 computations (32.7% saved)

series880.0ms (5%)

Error

2.2b

Counts

4 → 12

Calls

4 calls:

533.0ms	(log.f64 (/.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)))))
211.0ms	(/.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))))
75.0ms	(-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)))
43.0ms	(*.f64 (/.f64 PI.f64 4) f)

Compiler

Compiled 1227 to 952 computations (22.4% saved)

simplify269.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

620×	`associate-l_binary64`
556×	`associate-r_binary64`
231×	`associate-*l/_binary64`
228×	`exp-prod_binary64`
188×	`associate-/l*_binary64`
178×	`associate-*r/_binary64`
172×	`log-div_binary64`
160×	`distribute-rgt-in_binary64`
148×	`distribute-lft-in_binary64`
128×	`sub-neg_binary64`
97×	`cube-prod_binary64`
86×	`associate-/l/_binary64`
82×	`cancel-sign-sub-inv_binary64`
81×	`log-prod_binary64`
79×	`*-commutative_binary64`
73×	`associate-/r*_binary64`
58×	`sqr-pow_binary64`
56×	`distribute-rgt-neg-in_binary64`
53×	`unswap-sqr_binary64`
50×	`neg-mul-1_binary64`
49×	`associate-/r/_binary64`
46×	`prod-exp_binary64` `neg-sub0_binary64`
43×	`distribute-lft-neg-in_binary64`
37×	`distribute-rgt-out_binary64`
35×	`cube-div_binary64`
33×	`times-frac_binary64`
29×	`exp-sum_binary64`
25×	`distribute-lft-neg-out_binary64`
24×	`+-commutative_binary64`
23×	`cube-unmult_binary64` `pow-sqr_binary64`
18×	`*-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `associate--l-_binary64`
17×	`div-sub_binary64` `swap-sqr_binary64`
15×	`unpow3_binary64` `exp-diff_binary64`
14×	`div-exp_binary64`
13×	`cube-mult_binary64`
12×	`log-rec_binary64` `difference-of-squares_binary64`
10×	`count-2_binary64`
9×	`*-lft-identity_binary64`
8×	`distribute-rgt-out--_binary64` `associate-+r-_binary64`
7×	`unsub-neg_binary64` `distribute-neg-frac_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64`
6×	`pow-plus_binary64`
5×	`exp-sqrt_binary64` `rec-exp_binary64` `rem-exp-log_binary64` `associate-+r+_binary64`
4×	`pow-base-1_binary64` `/-rgt-identity_binary64` `associate-+l+_binary64`
3×	`rem-sqrt-square_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64` `associate-+l-_binary64`
2×	`distribute-rgt1-in_binary64` `associate--r+_binary64`
1×	`log-pow_binary64` `unpow1/2_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_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` `associate--l+_binary64`

Counts

166 → 152

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	272	9260
1	582	8774
2	1401	8526
3	4379	8522
4	5005	8522

prune392.0ms (2.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	144	8	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	145	8	153

Error

2.2b

Counts

153 → 8

Compiler

Compiled 5748 to 3916 computations (31.9% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(-.f64 (log.f64 (/.f64 2 (*.f64 PI.f64 1/2))) (log.f64 f))
0.4b	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 PI.f64 1/2))) (log.f64 f)) (/.f64 -4 PI.f64))
2.0b	(log.f64 (/.f64 2 (*.f64 PI.f64 1/2)))

rewrite202.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

26×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64` `log-prod_binary64`
16×	`times-frac_binary64`
15×	`pow1_binary64`
14×	`add-exp-log_binary64`
13×	`associate-r_binary64`
10×	`log-pow_binary64`
8×	`add-cbrt-cube_binary64` `associate-l_binary64` `distribute-lft-out--_binary64`
7×	`associate--l+_binary64`
4×	`cancel-sign-sub-inv_binary64`
3×	`div-inv_binary64` `prod-exp_binary64` `div-exp_binary64` `rem-log-exp_binary64` `add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `associate--r+_binary64`
2×	`log-div_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*l/_binary64` `difference-of-squares_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `associate--l-_binary64`

Counts

3 → 91

Calls

3 calls:

14.0ms	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 PI.f64 1/2))) (log.f64 f)) (/.f64 -4 PI.f64))
8.0ms	(-.f64 (log.f64 (/.f64 2 (*.f64 PI.f64 1/2))) (log.f64 f))
4.0ms	(log.f64 (/.f64 2 (*.f64 PI.f64 1/2)))

Compiler

Compiled 1771 to 1280 computations (27.7% saved)

series373.0ms (2.1%)

Error

2.1b

Counts

3 → 6

Calls

3 calls:

194.0ms	(.f64 (-.f64 (log.f64 (/.f64 2 (.f64 PI.f64 1/2))) (log.f64 f)) (/.f64 -4 PI.f64))
170.0ms	(-.f64 (log.f64 (/.f64 2 (*.f64 PI.f64 1/2))) (log.f64 f))
0.0ms	(log.f64 (/.f64 2 (*.f64 PI.f64 1/2)))

Compiler

Compiled 240 to 211 computations (12.1% saved)

simplify125.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

505×	`associate-l_binary64`
448×	`associate-r_binary64`
315×	`distribute-rgt-in_binary64`
306×	`distribute-lft-in_binary64`
231×	`associate-*r/_binary64`
217×	`associate-*l/_binary64`
167×	`associate-/l*_binary64`
149×	`div-sub_binary64`
106×	`sub-neg_binary64`
91×	`exp-sum_binary64`
76×	`exp-prod_binary64`
73×	`times-frac_binary64`
62×	`associate-/l/_binary64`
59×	`*-commutative_binary64`
54×	`associate-/r*_binary64`
46×	`log-div_binary64`
43×	`log-pow_binary64`
42×	`exp-diff_binary64`
37×	`cancel-sign-sub-inv_binary64`
35×	`associate-/r/_binary64`
29×	`log-prod_binary64`
28×	`+-commutative_binary64`
27×	`distribute-lft-neg-out_binary64`
25×	`distribute-rgt-neg-out_binary64`
23×	`associate-+r-_binary64`
20×	`neg-mul-1_binary64`
19×	`*-rgt-identity_binary64`
18×	`neg-sub0_binary64` `*-lft-identity_binary64`
15×	`cube-div_binary64` `cube-prod_binary64` `sqr-pow_binary64` `associate-+l-_binary64`
12×	`log-rec_binary64`
9×	`rem-exp-log_binary64` `associate--l-_binary64`
8×	`unpow3_binary64` `cube-unmult_binary64` `+-rgt-identity_binary64` `swap-sqr_binary64` `distribute-rgt-neg-in_binary64`
6×	`exp-to-pow_binary64` `cube-mult_binary64` `distribute-lft-neg-in_binary64`
5×	`sqr-neg_binary64` `/-rgt-identity_binary64` `distribute-neg-in_binary64` `associate-+l+_binary64`
4×	`exp-neg_binary64`
3×	`unsub-neg_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-rgt-out_binary64` `count-2_binary64` `associate-+r+_binary64`
2×	`rec-exp_binary64` `unswap-sqr_binary64` `distribute-neg-frac_binary64` `associate--l+_binary64` `associate--r+_binary64`
1×	`unpow1/2_binary64` `pow-plus_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `pow-sqr_binary64` `distribute-neg-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `remove-double-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` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`

Counts

97 → 79

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2166
1	370	1747
2	1111	1739
3	4631	1739
4	4947	1739
5	4959	1739

prune138.0ms (0.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	68	11	79
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	70	17	87

Error

1.9b

Counts

87 → 17

Compiler

Compiled 1682 to 1199 computations (28.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (*.f64 PI.f64 1/2)))) (-.f64 (log.f64 (sqrt.f64 (/.f64 4 PI.f64))) (log.f64 f)))
0.4b	(.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 2 (.f64 PI.f64 1/2)))) (-.f64 (log.f64 (sqrt.f64 (/.f64 4 PI.f64))) (log.f64 f))) (/.f64 -4 PI.f64))
1.0b	(log.f64 (sqrt.f64 (/.f64 4 PI.f64)))
1.0b	(log.f64 (sqrt.f64 (/.f64 2 (*.f64 PI.f64 1/2))))

rewrite413.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

65×	`*-un-lft-identity_binary64`
52×	`log-prod_binary64`
40×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
37×	`pow1_binary64`
35×	`add-cube-cbrt_binary64`
34×	`times-frac_binary64`
33×	`log-pow_binary64`
21×	`associate-+r+_binary64`
20×	`distribute-lft-out_binary64`
16×	`distribute-lft-out--_binary64` `associate--l+_binary64`
13×	`associate-l_binary64` `associate-r_binary64`
11×	`add-exp-log_binary64`
10×	`associate-+l+_binary64`
9×	`add-cbrt-cube_binary64`
5×	`div-inv_binary64` `add-log-exp_binary64`
4×	`cancel-sign-sub-inv_binary64`
3×	`sqrt-div_binary64` `log-div_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-log-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*l/_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `-commutative_binary64` `diff-log_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `sub-neg_binary64` `+-commutative_binary64`

Counts

4 → 151

Calls

4 calls:

21.0ms	(.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 2 (.f64 PI.f64 1/2)))) (-.f64 (log.f64 (sqrt.f64 (/.f64 4 PI.f64))) (log.f64 f))) (/.f64 -4 PI.f64))
19.0ms	(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (*.f64 PI.f64 1/2)))) (-.f64 (log.f64 (sqrt.f64 (/.f64 4 PI.f64))) (log.f64 f)))
5.0ms	(log.f64 (sqrt.f64 (/.f64 2 (*.f64 PI.f64 1/2))))
4.0ms	(log.f64 (sqrt.f64 (/.f64 4 PI.f64)))

Compiler

Compiled 3770 to 2899 computations (23.1% saved)

series533.0ms (3.1%)

Error

1.9b

Counts

4 → 6

Calls

4 calls:

296.0ms	(.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 2 (.f64 PI.f64 1/2)))) (-.f64 (log.f64 (sqrt.f64 (/.f64 4 PI.f64))) (log.f64 f))) (/.f64 -4 PI.f64))
225.0ms	(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (*.f64 PI.f64 1/2)))) (-.f64 (log.f64 (sqrt.f64 (/.f64 4 PI.f64))) (log.f64 f)))
0.0ms	(log.f64 (sqrt.f64 (/.f64 2 (*.f64 PI.f64 1/2))))
0.0ms	(log.f64 (sqrt.f64 (/.f64 4 PI.f64)))

Compiler

Compiled 330 to 301 computations (8.8% saved)

simplify176.0ms (1%)

Algorithm

1×	egg-herbie

Rules

466×	`div-sub_binary64`
458×	`distribute-rgt-in_binary64`
441×	`distribute-lft-in_binary64`
333×	`associate-l_binary64`
251×	`associate-r_binary64`
246×	`associate-*r/_binary64`
227×	`associate-*l/_binary64`
165×	`*-commutative_binary64`
163×	`associate-/l*_binary64`
140×	`unsub-neg_binary64`
96×	`associate-+l+_binary64`
84×	`+-commutative_binary64`
78×	`times-frac_binary64`
71×	`sub-neg_binary64`
70×	`exp-diff_binary64`
65×	`associate-/l/_binary64`
63×	`neg-sub0_binary64`
62×	`associate-+r-_binary64` `associate-+r+_binary64`
59×	`exp-sum_binary64`
56×	`associate-/r*_binary64`
54×	`associate-+l-_binary64`
47×	`neg-mul-1_binary64`
43×	`associate-/r/_binary64`
39×	`log-prod_binary64`
38×	`log-div_binary64`
36×	`exp-prod_binary64`
27×	`associate--l+_binary64`
23×	`associate--r+_binary64`
20×	`*-lft-identity_binary64`
18×	`*-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
16×	`distribute-rgt-neg-out_binary64`
15×	`sqr-pow_binary64`
12×	`unpow3_binary64` `cube-div_binary64`
11×	`exp-to-pow_binary64`
10×	`cube-prod_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
9×	`associate--r-_binary64`
7×	`log-rec_binary64` `cube-unmult_binary64` `/-rgt-identity_binary64`
6×	`associate--l-_binary64`
5×	`log-pow_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out_binary64`
4×	`rem-exp-log_binary64` `swap-sqr_binary64`
3×	`prod-exp_binary64` `distribute-rgt-neg-in_binary64` `count-2_binary64`
2×	`div-exp_binary64` `rec-exp_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out--_binary64`
1×	`unpow1/2_binary64` `pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `+-inverses_binary64` `pow-sqr_binary64` `difference-of-squares_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` `unpow2_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-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `sub0-neg_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` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Counts

157 → 136

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	259	4811
1	486	4010
2	1266	3302
3	3696	2977
4	4914	2977
5	5004	2977

prune249.0ms (1.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	136	17	153

Error

1.9b

Counts

153 → 17

Compiler

Compiled 2846 to 2114 computations (25.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)) (sqrt.f64 PI.f64))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
2.0b	(log.f64 (/.f64 4 PI.f64))

rewrite214.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

66×	`*-un-lft-identity_binary64`
57×	`times-frac_binary64`
54×	`add-sqr-sqrt_binary64`
38×	`add-cube-cbrt_binary64`
35×	`pow1_binary64`
33×	`sqrt-prod_binary64`
29×	`log-pow_binary64`
28×	`distribute-lft-out--_binary64`
13×	`log-prod_binary64`
9×	`add-exp-log_binary64`
8×	`associate-/l*_binary64`
7×	`difference-of-squares_binary64`
6×	`add-cbrt-cube_binary64` `associate-/r*_binary64`
4×	`add-log-exp_binary64`
2×	`div-inv_binary64` `div-exp_binary64` `rem-log-exp_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-/l/_binary64`
1×	`log-div_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 127

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)) (sqrt.f64 PI.f64))
3.0ms	(log.f64 (/.f64 4 PI.f64))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 2116 to 1182 computations (44.1% saved)

series230.0ms (1.3%)

Error

1.9b

Counts

4 → 3

Calls

4 calls:

221.0ms	(/.f64 (-.f64 (log.f64 (/.f64 4 PI.f64)) (log.f64 f)) (sqrt.f64 PI.f64))
0.0ms	(log.f64 (/.f64 4 PI.f64))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 174 to 150 computations (13.8% saved)

simplify182.0ms (1%)

Algorithm

1×	egg-herbie

Rules

653×	`div-sub_binary64`
591×	`distribute-rgt-in_binary64`
571×	`distribute-lft-in_binary64`
264×	`sub-neg_binary64`
260×	`times-frac_binary64`
83×	`cancel-sign-sub-inv_binary64`
67×	`log-div_binary64`
65×	`*-commutative_binary64`
64×	`associate-/l/_binary64`
61×	`unsub-neg_binary64` `distribute-rgt-neg-out_binary64`
59×	`associate-/r*_binary64`
55×	`neg-sub0_binary64` `+-commutative_binary64`
52×	`distribute-lft-neg-out_binary64` `associate-*l/_binary64`
51×	`neg-mul-1_binary64` `associate-/l*_binary64`
49×	`exp-diff_binary64` `associate-+r-_binary64`
48×	`distribute-neg-in_binary64`
43×	`associate-+l-_binary64`
40×	`log-prod_binary64`
36×	`associate-*r/_binary64`
32×	`distribute-frac-neg_binary64` `associate--l-_binary64`
29×	`associate-+l+_binary64`
28×	`associate-l_binary64`
27×	`exp-prod_binary64` `associate-+r+_binary64`
26×	`associate-/r/_binary64`
25×	`distribute-neg-frac_binary64`
20×	`associate--l+_binary64`
16×	`associate-r_binary64` `associate--r-_binary64`
15×	`exp-sum_binary64` `distribute-rgt-neg-in_binary64`
13×	`/-rgt-identity_binary64`
12×	`distribute-rgt-out_binary64` `associate--r+_binary64`
11×	`+-rgt-identity_binary64` `distribute-lft-neg-in_binary64`
9×	`*-rgt-identity_binary64`
8×	`log-pow_binary64` `sqr-pow_binary64` `distribute-neg-out_binary64`
7×	`log-rec_binary64` `exp-to-pow_binary64`
6×	`count-2_binary64`
5×	`*-lft-identity_binary64` `sub0-neg_binary64`
4×	`rem-exp-log_binary64` `cube-unmult_binary64` `distribute-rgt-out--_binary64`
3×	`remove-double-neg_binary64`
2×	`rec-exp_binary64` `prod-exp_binary64` `cube-div_binary64` `cube-prod_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `rem-square-sqrt_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_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` `cube-mult_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`

Counts

130 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	2934
1	297	2837
2	655	2817
3	1635	2815
4	4881	2815
5	4999	2815
6	4962	2815

prune70.0ms (0.4%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	53	18	71

Error

1.9b

Counts

71 → 18

Compiler

Compiled 764 to 450 computations (41.1% saved)

regimes3.5s (20%)

Accuracy

Total 1.2b remaining (74.7%)

Threshold costs 0b (0%)

Compiler

Compiled 40512 to 32486 computations (19.8% saved)

bsearch16.0ms (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` `+-commutative_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` `-lft-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	44
1	30	44
2	29	44

end2.0ms (0%)

Compiler: Compiled 27 to 24 computations (11.1% saved)

sample7.0s (40%)

Algorithm

1×

intervals

Results

1.9s	3924×	body	1024	valid
1.7s	3726×	body	1024	nan
693.0ms	1980×	body	512	valid
634.0ms	1915×	body	512	nan
528.0ms	526×	body	2048	valid
234.0ms	970×	body	256	valid
211.0ms	939×	body	256	nan
74.0ms	600×	body	128	valid
1.0ms	1×	body	2048	nan
0.0ms	2×	body	128	overflowed
0.0ms	1×	body	128	nan

Compiler

Compiled 589 to 468 computations (20.5% saved)

Details

analyze1.3s (7.5%)

sample205.0ms (1.2%)

simplify83.0ms (0.5%)

prune10.0ms (0.1%)

localize24.0ms (0.1%)

rewrite824.0ms (4.7%)

series880.0ms (5%)

simplify269.0ms (1.5%)

prune392.0ms (2.2%)

localize11.0ms (0.1%)

rewrite202.0ms (1.2%)

series373.0ms (2.1%)

simplify125.0ms (0.7%)

prune138.0ms (0.8%)

localize17.0ms (0.1%)

rewrite413.0ms (2.4%)

series533.0ms (3.1%)

simplify176.0ms (1%)

prune249.0ms (1.4%)

localize12.0ms (0.1%)

rewrite214.0ms (1.2%)

series230.0ms (1.3%)

simplify182.0ms (1%)

prune70.0ms (0.4%)

regimes3.5s (20%)

bsearch16.0ms (0.1%)

simplify3.0ms (0%)

end2.0ms (0%)

sample7.0s (40%)

Profiling