Details

analyze572.0ms (9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7544	20
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample33.0ms (0.5%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify312.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (306.0ms)

Iter	Nodes	Cost
0	7544	20

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.5b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0b	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.5b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

rewrite258.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`*-un-lft-identity_binary64_3147`
50×	`times-frac_binary64_3153`
43×	`add-sqr-sqrt_binary64_3169`
31×	`add-cube-cbrt_binary64_3182` `sqrt-prod_binary64_3163`
16×	`distribute-lft-out_binary64_3098`
15×	`log-prod_binary64_3233`
13×	`div-inv_binary64_3144`
10×	`difference-of-squares_binary64_3116`
8×	`associate-/l*_binary64_3092`
7×	`add-exp-log_binary64_3185`
6×	`pow1_binary64_3208` `distribute-rgt-out_binary64_3100` `add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183`
4×	`sqrt-div_binary64_3164`
3×	`log-div_binary64_3234` `associate-/r*_binary64_3091`
2×	`frac-add_binary64_3155` `flip3-+_binary64_3150` `flip-+_binary64_3121` `distribute-rgt1-in_binary64_3103` `flip3--_binary64_3151` `flip--_binary64_3122` `associate-/l/_binary64_3094`
1×	`log-pow_binary64_3236` `rem-log-exp_binary64_3188` `pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-sqrt-square_binary64_3160` `sum-log_binary64_3238` `+-commutative_binary64_3077` `div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146`

Counts

4 → 117

Calls

4 calls:

26.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
22.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
6.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 2629 to 1663 computations (36.7% saved)

series231.0ms (3.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

75.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
55.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
33.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
26.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 699 to 601 computations (14% saved)

simplify136.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5069	2713

prune271.0ms (4.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	3	142

Error

Counts

142 → 3

Compiler

Compiled 2633 to 1699 computations (35.5% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0b	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
0.2b	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))

rewrite185.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`*-un-lft-identity_binary64_3147`
13×	`add-sqr-sqrt_binary64_3169` `log-prod_binary64_3233`
12×	`distribute-lft-out_binary64_3098`
11×	`pow1_binary64_3208`
8×	`add-cube-cbrt_binary64_3182` `sqrt-prod_binary64_3163`
7×	`add-log-exp_binary64_3186`
6×	`log-pow_binary64_3236`
5×	`add-exp-log_binary64_3185` `associate-+l+_binary64_3080`
4×	`add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150` `flip-+_binary64_3121` `distribute-rgt-neg-in_binary64_3105` `log-div_binary64_3234`
3×	`sum-log_binary64_3238` `distribute-neg-in_binary64_3108` `associate-+r+_binary64_3079`
2×	`associate-+l-_binary64_3082` `+-commutative_binary64_3077` `sqrt-div_binary64_3164` `difference-of-squares_binary64_3116`
1×	`neg-log_binary64_3240` `unsub-neg_binary64_3141` `neg-sub0_binary64_3142` `associate-+r-_binary64_3081` `pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `flip3--_binary64_3151` `flip--_binary64_3122` `rem-sqrt-square_binary64_3160` `rem-log-exp_binary64_3188`

Counts

4 → 76

Calls

4 calls:

21.0ms	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))
10.0ms	(log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
10.0ms	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
5.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 1679 to 1035 computations (38.4% saved)

series531.0ms (8.4%)

Error

Counts

4 → 24

Calls

4 calls:

301.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
95.0ms	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))
62.0ms	(log.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
39.0ms	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))

Compiler

Compiled 766 to 639 computations (16.6% saved)

simplify144.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4976	1718
1	4976	1718

prune108.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	100	3	103

Error

Counts

103 → 3

Compiler

Compiled 1771 to 1105 computations (37.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 -2 (log.f64 (cbrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 x)))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite217.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`*-un-lft-identity_binary64_3147`
34×	`log-prod_binary64_3233`
28×	`cbrt-prod_binary64_3178`
26×	`add-sqr-sqrt_binary64_3169` `times-frac_binary64_3153`
22×	`associate-+r+_binary64_3079`
20×	`add-cube-cbrt_binary64_3182`
14×	`distribute-lft-out_binary64_3098`
12×	`associate-+l+_binary64_3080`
7×	`div-inv_binary64_3144`
6×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `sqrt-prod_binary64_3163`
5×	`add-log-exp_binary64_3186`
4×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `distribute-rgt-out_binary64_3100`
3×	`pow1/3_binary64_3229` `log-div_binary64_3234` `associate-+r-_binary64_3081`
2×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
1×	`sum-log_binary64_3238` `frac-add_binary64_3155` `distribute-rgt1-in_binary64_3103` `+-commutative_binary64_3077`

Counts

4 → 81

Calls

4 calls:

60.0ms	(+.f64 (.f64 -2 (log.f64 (cbrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 x)))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2452 to 1308 computations (46.7% saved)

series745.0ms (11.8%)

Error

Counts

4 → 15

Calls

4 calls:

356.0ms	(+.f64 (.f64 -2 (log.f64 (cbrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 x)))))
144.0ms	(cbrt.f64 x)
116.0ms	(cbrt.f64 x)
93.0ms	(cbrt.f64 x)

Compiler

Compiled 1353 to 1093 computations (19.2% saved)

simplify125.0ms (2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4877	1820
1	4877	1820

prune222.0ms (3.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	96	3	99

Error

Counts

99 → 3

Compiler

Compiled 2582 to 1477 computations (42.8% saved)

regimes273.0ms (4.3%)

Accuracy

Total 0.2b remaining (99.8%)

Threshold costs 0.2b (99.8%)

Compiler

Compiled 1402 to 1069 computations (23.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	19
1	37	19

end0.0ms (0%)

sample1.9s (30.2%)

Algorithm

1×

intervals

Results

753.0ms	8000×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 439 to 338 computations (23% saved)

Details

analyze572.0ms (9%)

sample33.0ms (0.5%)

simplify312.0ms (4.9%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite258.0ms (4.1%)

series231.0ms (3.7%)

simplify136.0ms (2.1%)

prune271.0ms (4.3%)

localize21.0ms (0.3%)

rewrite185.0ms (2.9%)

series531.0ms (8.4%)

simplify144.0ms (2.3%)

prune108.0ms (1.7%)

localize15.0ms (0.2%)

rewrite217.0ms (3.4%)

series745.0ms (11.8%)

simplify125.0ms (2%)

prune222.0ms (3.5%)

regimes273.0ms (4.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (30.2%)

Profiling