Details

analyze936.0ms (15.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	70
1	228	70
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Symmetry

(sort a1 a2)

(sort b1 b2)

Compiler

Compiled 8 to 8 computations (0% saved)

sample33.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	53×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

prune2.0ms (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

11.3b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

11.1b

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
4×	`prod-exp_binary64_5924` `div-exp_binary64_5926` `cbrt-undiv_binary64_5909` `cbrt-unprod_binary64_5908`
1×	`pow1_binary64_5936` `add-log-exp_binary64_5914` `add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897` `frac-2neg_binary64_5886` `times-frac_binary64_5881` `-un-lft-identity_binary64_5875` `clear-num_binary64_5874` `div-inv_binary64_5872` `associate-/l_binary64_5820` `associate-/r*_binary64_5819`

Counts

1 → 21

Calls

1 calls:

6.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

Compiler

Compiled 291 to 77 computations (73.5% saved)

series191.0ms (3.2%)

Error

11.3b

Counts

1 → 12

Calls

1 calls:

186.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

Compiler

Compiled 252 to 175 computations (30.6% saved)

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5076	370

prune29.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	25	8	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	9	34

Error

0.0b

Counts

34 → 9

Compiler

Compiled 389 to 119 computations (69.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.1b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
6.3b	(*.f64 a2 (/.f64 a1 b1))

rewrite60.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_5897`
16×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
13×	`times-frac_binary64_5881` `associate-r_binary64_5815`
12×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
5×	`div-exp_binary64_5926` `cbrt-undiv_binary64_5909`
4×	`pow1_binary64_5936` `prod-exp_binary64_5924` `cbrt-unprod_binary64_5908`
3×	`associate-l_binary64_5816` `associate-/r*_binary64_5819`
2×	`add-log-exp_binary64_5914` `unswap-sqr_binary64_5843` `associate-*r/_binary64_5817` `div-inv_binary64_5872`
1×	`pow-prod-down_binary64_5946` `-commutative_binary64_5806` `frac-2neg_binary64_5886` `clear-num_binary64_5874` `associate-/l/_binary64_5822` `associate-/l_binary64_5820`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 a2 (/.f64 a1 b1))
6.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

Compiler

Compiled 754 to 218 computations (71.1% saved)

series267.0ms (4.5%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

171.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
87.0ms	(*.f64 a2 (/.f64 a1 b1))

Compiler

Compiled 441 to 303 computations (31.3% saved)

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4965	800
1	4965	800

prune54.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	1	6	7
Picked	1	0	1
Done	1	0	1
Total	75	11	86

Error

Counts

86 → 11

Compiler

Compiled 911 to 268 computations (70.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 b1)
0.6b	(cbrt.f64 b1)
3.5b	(.f64 a2 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b1) (cbrt.f64 b1))))
5.1b	(/.f64 (.f64 (.f64 a2 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (.f64 (cbrt.f64 b1) (cbrt.f64 b1)))) (/.f64 (cbrt.f64 a1) (cbrt.f64 b1))) b2)

rewrite136.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

92×	`add-exp-log_binary64_5913`
56×	`add-cbrt-cube_binary64_5911`
39×	`prod-exp_binary64_5924` `cbrt-unprod_binary64_5908`
31×	`div-exp_binary64_5926` `cbrt-undiv_binary64_5909`
13×	`add-sqr-sqrt_binary64_5897`
10×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
6×	`pow1_binary64_5936` `cbrt-prod_binary64_5906`
5×	`times-frac_binary64_5881` `associate-r_binary64_5815`
4×	`add-log-exp_binary64_5914` `associate-*r/_binary64_5817`
3×	`associate-/l/_binary64_5822` `associate-/r_binary64_5819` `associate-l*_binary64_5816`
2×	`div-inv_binary64_5872` `unswap-sqr_binary64_5843` `pow1/3_binary64_5957`
1×	`frac-2neg_binary64_5886` `clear-num_binary64_5874` `frac-times_binary64_5885` `associate-l/_binary64_5818` `associate-/l_binary64_5820` `pow-prod-down_binary64_5946` `*-commutative_binary64_5806`

Counts

4 → 98

Calls

4 calls:

19.0ms	(/.f64 (.f64 (.f64 a2 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (.f64 (cbrt.f64 b1) (cbrt.f64 b1)))) (/.f64 (cbrt.f64 a1) (cbrt.f64 b1))) b2)
12.0ms	(.f64 a2 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b1) (cbrt.f64 b1))))
5.0ms	(cbrt.f64 b1)
1.0ms	(cbrt.f64 b1)

Compiler

Compiled 3056 to 432 computations (85.9% saved)

series885.0ms (14.8%)

Error

Counts

4 → 27

Calls

4 calls:

464.0ms	(.f64 a2 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b1) (cbrt.f64 b1))))
257.0ms	(/.f64 (.f64 (.f64 a2 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (.f64 (cbrt.f64 b1) (cbrt.f64 b1)))) (/.f64 (cbrt.f64 a1) (cbrt.f64 b1))) b2)
71.0ms	(cbrt.f64 b1)
71.0ms	(cbrt.f64 b1)

Compiler

Compiled 1359 to 996 computations (26.7% saved)

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5076	1510

prune91.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	125	11	136

Error

Counts

136 → 11

Compiler

Compiled 2271 to 617 computations (72.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.1b	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
5.1b	(/.f64 (*.f64 a1 a2) b1)

rewrite59.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`times-frac_binary64_5881`
20×	`add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897` `*-un-lft-identity_binary64_5875`
16×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
8×	`associate-/l*_binary64_5820`
7×	`div-exp_binary64_5926` `cbrt-undiv_binary64_5909`
6×	`div-inv_binary64_5872` `associate-/r*_binary64_5819`
2×	`pow1_binary64_5936` `prod-exp_binary64_5924` `add-log-exp_binary64_5914` `cbrt-unprod_binary64_5908` `frac-2neg_binary64_5886` `clear-num_binary64_5874`
1×	`associate-/l/_binary64_5822`

Counts

2 → 69

Calls

2 calls:

6.0ms	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
4.0ms	(/.f64 (*.f64 a1 a2) b1)

Compiler

Compiled 979 to 249 computations (74.6% saved)

series292.0ms (4.9%)

Error

Counts

2 → 21

Calls

2 calls:

185.0ms	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
99.0ms	(/.f64 (*.f64 a1 a2) b1)

Compiler

Compiled 441 to 303 computations (31.3% saved)

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4993	1171
1	4993	1171

prune48.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	3	6	9
Picked	1	0	1
Done	1	0	1
Total	94	7	101

Error

Counts

101 → 7

Compiler

Compiled 1003 to 191 computations (81% saved)

regimes842.0ms (14.1%)

Accuracy

Total 5.3b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 4014 to 3112 computations (22.5% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify35.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	86
1	32	86

Compiler

Compiled 236 to 108 computations (54.2% saved)

end0.0ms (0%)

sample1.6s (27.2%)

Algorithm

1×

intervals

Results

230.0ms	8000×	body	128	valid
68.0ms	1851×	body	128	invalid

Compiler

Compiled 570 to 428 computations (24.9% saved)

Details

analyze936.0ms (15.7%)

sample33.0ms (0.5%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite34.0ms (0.6%)

series191.0ms (3.2%)

simplify75.0ms (1.3%)

prune29.0ms (0.5%)

localize5.0ms (0.1%)

rewrite60.0ms (1%)

series267.0ms (4.5%)

simplify84.0ms (1.4%)

prune54.0ms (0.9%)

localize14.0ms (0.2%)

rewrite136.0ms (2.3%)

series885.0ms (14.8%)

simplify84.0ms (1.4%)

prune91.0ms (1.5%)

localize5.0ms (0.1%)

rewrite59.0ms (1%)

series292.0ms (4.9%)

simplify75.0ms (1.3%)

prune48.0ms (0.8%)

regimes842.0ms (14.1%)

bsearch1.0ms (0%)

simplify35.0ms (0.6%)

end0.0ms (0%)

sample1.6s (27.2%)

Profiling