Details

analyze1.8s (20.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5144	812
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample63.0ms (0.7%)

Algorithm

1×

intervals

Results

18.0ms	218×	body	128	invalid
14.0ms	256×	body	128	valid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify495.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (489.0ms)

Iter	Nodes	Cost
0	3126	28
1	3126	28

prune3.0ms (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

5.9b

Counts

2 → 1

Compiler

Compiled 38 to 36 computations (5.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.1b	(.f64 (+.f64 a (.f64 b c)) c)
8.6b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`associate-*l/_binary64_22186`
11×	`add-exp-log_binary64_22281` `add-log-exp_binary64_22282` `pow1_binary64_22304` `add-cbrt-cube_binary64_22279`
9×	`add-sqr-sqrt_binary64_22265`
7×	`*-un-lft-identity_binary64_22243` `flip3-+_binary64_22246` `add-cube-cbrt_binary64_22278` `flip-+_binary64_22217`
6×	`associate-r_binary64_22183`
4×	`frac-sub_binary64_22252` `associate-l_binary64_22184` `cbrt-unprod_binary64_22276` `pow-prod-down_binary64_22314` `prod-exp_binary64_22292`
2×	`*-commutative_binary64_22174` `diff-log_binary64_22335` `sum-log_binary64_22334`
1×	`flip--_binary64_22218` `cancel-sign-sub-inv_binary64_22209` `+-commutative_binary64_22173` `flip3--_binary64_22247` `sub-neg_binary64_22236` `associate--l+_binary64_22180` `unswap-sqr_binary64_22211`

Counts

4 → 69

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
7.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
6.0ms	(.f64 (+.f64 a (.f64 b c)) c)
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

series784.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

623.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
79.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
47.0ms	(.f64 (+.f64 a (.f64 b c)) c)
35.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4988	1779
1	4988	1779

prune105.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	71	10	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	10	82

Error

0.5b

Counts

82 → 10

Compiler

Compiled 2474 to 671 computations (72.9% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
4.9b	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_22282`
8×	`add-exp-log_binary64_22281` `pow1_binary64_22304` `add-cbrt-cube_binary64_22279`
6×	`associate-*l/_binary64_22186` `flip3-+_binary64_22246` `flip-+_binary64_22217`
4×	`add-sqr-sqrt_binary64_22265` `*-un-lft-identity_binary64_22243` `frac-sub_binary64_22252` `add-cube-cbrt_binary64_22278`
3×	`associate-l_binary64_22184` `cbrt-unprod_binary64_22276` `pow-prod-down_binary64_22314` `prod-exp_binary64_22292`
2×	`diff-log_binary64_22335` `sum-log_binary64_22334`
1×	`associate-r_binary64_22183` `flip--_binary64_22218` `cancel-sign-sub-inv_binary64_22209` `+-commutative_binary64_22173` `flip3--_binary64_22247` `*-commutative_binary64_22174` `sub-neg_binary64_22236` `associate--l+_binary64_22180`

Counts

3 → 49

Calls

3 calls:

9.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
7.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

series767.0ms (8.7%)

Counts

3 → 9

Calls

3 calls:

653.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
72.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))
42.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5820	1495

prune69.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	59	9	68

Error

0.5b

Counts

68 → 9

Compiler

Compiled 1901 to 494 computations (74% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 (+.f64 a (*.f64 b c)))
1.0b	(cbrt.f64 (+.f64 a (*.f64 b c)))
1.0b	(cbrt.f64 (+.f64 a (*.f64 b c)))
8.6b	(.f64 (.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 c (cbrt.f64 (+.f64 a (*.f64 b c))))) i)

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64_22275`
40×	`associate-*l/_binary64_22186`
30×	`flip3-+_binary64_22246` `flip-+_binary64_22217`
28×	`frac-times_binary64_22253`
26×	`associate-*r/_binary64_22185`
22×	`add-exp-log_binary64_22281` `pow1_binary64_22304`
16×	`add-cbrt-cube_binary64_22279`
13×	`cbrt-unprod_binary64_22276` `pow-prod-down_binary64_22314` `prod-exp_binary64_22292`
9×	`cbrt-prod_binary64_22274`
8×	`add-sqr-sqrt_binary64_22265` `*-un-lft-identity_binary64_22243` `add-cube-cbrt_binary64_22278`
4×	`add-log-exp_binary64_22282`
3×	`associate-r_binary64_22183` `pow1/3_binary64_22325`
1×	`associate-l_binary64_22184` `*-commutative_binary64_22174`

Counts

4 → 92

Calls

4 calls:

21.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 c (cbrt.f64 (+.f64 a (*.f64 b c))))) i)
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))

series386.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
98.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
96.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
82.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 c (cbrt.f64 (+.f64 a (*.f64 b c))))) i)

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4947	2376
1	4947	2376

prune135.0ms (1.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	104	9	113

Error

0.5b

Counts

113 → 9

Compiler

Compiled 4615 to 1194 computations (74.1% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.3b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
8.6b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_22281` `cbrt-prod_binary64_22274` `pow1_binary64_22304` `add-cbrt-cube_binary64_22279`
8×	`add-sqr-sqrt_binary64_22265` `*-un-lft-identity_binary64_22243` `add-cube-cbrt_binary64_22278`
6×	`cbrt-div_binary64_22275`
4×	`add-log-exp_binary64_22282` `associate-*l/_binary64_22186` `flip3-+_binary64_22246` `flip-+_binary64_22217`
3×	`associate-r_binary64_22183` `pow1/3_binary64_22325` `cbrt-unprod_binary64_22276` `pow-prod-down_binary64_22314` `prod-exp_binary64_22292`
1×	`associate-l_binary64_22184` `*-commutative_binary64_22174`

Counts

4 → 59

Calls

4 calls:

7.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
3.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series460.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
129.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
120.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
68.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5030	1276

prune86.0ms (1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	69	11	80

Error

0.5b

Counts

80 → 11

Compiler

Compiled 3149 to 493 computations (84.3% saved)

regimes888.0ms (10%)

Accuracy

Total 1.0b remaining (51.5%)

Threshold costs 1.0b (51.5%)

Compiler

Compiled 12408 to 8848 computations (28.7% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	95	28
1	95	28

Compiler

Compiled 76 to 72 computations (5.3% saved)

end0.0ms (0%)

sample2.3s (26.2%)

Algorithm

1×

intervals

Results

478.0ms	8000×	body	128	valid
449.0ms	7107×	body	128	invalid

Compiler

Compiled 852 to 615 computations (27.8% saved)

Details

analyze1.8s (20.3%)

sample63.0ms (0.7%)

simplify495.0ms (5.6%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite32.0ms (0.4%)

series784.0ms (8.8%)

simplify81.0ms (0.9%)

prune105.0ms (1.2%)

localize15.0ms (0.2%)

rewrite25.0ms (0.3%)

series767.0ms (8.7%)

simplify42.0ms (0.5%)

prune69.0ms (0.8%)

localize22.0ms (0.2%)

rewrite44.0ms (0.5%)

series386.0ms (4.4%)

simplify92.0ms (1%)

prune135.0ms (1.5%)

localize23.0ms (0.3%)

rewrite25.0ms (0.3%)

series460.0ms (5.2%)

simplify71.0ms (0.8%)

prune86.0ms (1%)

regimes888.0ms (10%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample2.3s (26.2%)

Profiling