Details

analyze526.0ms (3.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	8	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
50%	50%	0.1%	5
50%	37.5%	12.6%	6
50%	25%	25.1%	7
50%	18.7%	31.3%	8
50%	12.5%	37.6%	9
50%	9.4%	40.7%	10
50%	6.2%	43.8%	11
50%	4.7%	45.4%	12
50%	3.1%	46.9%	13
50%	2.3%	47.7%	14

Symmetry

(sort a b)

Compiler

Compiled 7 to 7 computations (0% saved)

sample88.0ms (0.6%)

Algorithm

1×

intervals

Results

41.0ms	64×	body	1024	valid
10.0ms	34×	body	512	valid
8.0ms	141×	body	128	valid
4.0ms	5×	body	2048	valid
2.0ms	12×	body	256	valid
0.0ms	6×	body	128	overflowed

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

prune7.0ms (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

29.1b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
4.0b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite65.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

29.1b

Rules

7×	`*-un-lft-identity_binary64`
4×	`log-prod_binary64` `add-log-exp_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `add-exp-log_binary64`
2×	`flip3-+_binary64` `log-div_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64`
1×	`log-pow_binary64` `rem-log-exp_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 27

Calls

2 calls:

11.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 363 to 92 computations (74.7% saved)

series357.0ms (2.6%)

Error

0.8b

Counts

2 → 23

Calls

2 calls:

281.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
51.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 751 to 569 computations (24.2% saved)

simplify126.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4976	826
1	4976	826

prune70.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	5	51

Error

0.8b

Counts

51 → 5

Compiler

Compiled 679 to 296 computations (56.4% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (+.f64 1 (exp.f64 a)))
0.0b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
0.0b	(+.f64 1 (exp.f64 a))
0.0b	(+.f64 1 (exp.f64 a))

rewrite120.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

17×	`*-un-lft-identity_binary64`
9×	`add-log-exp_binary64`
8×	`log-prod_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `distribute-lft-out_binary64`
5×	`add-exp-log_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`add-cbrt-cube_binary64` `log-div_binary64` `associate-+l+_binary64`
3×	`sum-log_binary64` `+-commutative_binary64`
2×	`log-pow_binary64` `associate-+l-_binary64`
1×	`rem-log-exp_binary64`

Counts

4 → 58

Calls

4 calls:

22.0ms	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
7.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
4.0ms	(+.f64 1 (exp.f64 a))
4.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 1159 to 732 computations (36.8% saved)

series383.0ms (2.8%)

Error

0.8b

Counts

4 → 26

Calls

4 calls:

242.0ms	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
77.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
26.0ms	(+.f64 1 (exp.f64 a))
18.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 829 to 654 computations (21.1% saved)

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4929	1220
1	4929	1220

prune118.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	82	7	89

Error

0.8b

Counts

89 → 7

Compiler

Compiled 1488 to 965 computations (35.1% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
1.0b	(cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0b	(cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0b	(cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))))

rewrite691.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

60×	`cbrt-div_binary64`
30×	`flip3-+_binary64` `flip-+_binary64`
28×	`frac-times_binary64`
27×	`pow1_binary64`
21×	`cbrt-prod_binary64` `*-un-lft-identity_binary64`
14×	`associate-*l/_binary64`
12×	`pow1/3_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`add-exp-log_binary64` `add-cube-cbrt_binary64` `pow-prod-up_binary64`
8×	`distribute-lft-out_binary64` `associate-r/_binary64` `associate-r*_binary64`
6×	`pow-plus_binary64`
5×	`add-cbrt-cube_binary64` `pow-prod-down_binary64`
4×	`add-log-exp_binary64` `log-pow_binary64`
3×	`pow-sqr_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`pow2_binary64` `unswap-sqr_binary64`
1×	`pow3_binary64` `rem-3cbrt-lft_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 109

Calls

4 calls:

81.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
21.0ms	(cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))))
21.0ms	(cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))))
20.0ms	(cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))))

Compiler

Compiled 7162 to 4645 computations (35.1% saved)

series2.7s (19.7%)

Error

0.8b

Counts

4 → 44

Calls

4 calls:

791.0ms	(cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))))
726.0ms	(cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))))
647.0ms	(cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))))
365.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1)))))

Compiler

Compiled 7256 to 5678 computations (21.7% saved)

simplify161.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5269	7812

prune642.0ms (4.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	154	6	160

Error

0.8b

Counts

160 → 6

Compiler

Compiled 8203 to 5531 computations (32.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.5b	(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3)
0.5b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
4.0b	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite101.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

15×	`*-un-lft-identity_binary64`
14×	`cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`pow1_binary64`
8×	`unpow-prod-down_binary64` `cube-prod_binary64`
6×	`add-exp-log_binary64` `add-log-exp_binary64`
5×	`log-pow_binary64` `add-cbrt-cube_binary64`
4×	`log-prod_binary64`
3×	`pow-unpow_binary64`
2×	`flip3-+_binary64` `log-div_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`
1×	`rem-log-exp_binary64` `pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

4.0ms	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))
3.0ms	(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3)
2.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))

Compiler

Compiled 1302 to 483 computations (62.9% saved)

series1.1s (8.3%)

Error

0.8b

Counts

4 → 46

Calls

4 calls:

531.0ms	(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3)
248.0ms	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
242.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
52.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2763 to 2125 computations (23.1% saved)

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5036	2783

prune171.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	122	5	127

Error

0.8b

Counts

127 → 5

Compiler

Compiled 2149 to 1085 computations (49.5% saved)

regimes995.0ms (7.2%)

Accuracy

Total 0.6b remaining (51.8%)

Threshold costs 0.6b (51.8%)

Compiler

Compiled 11040 to 8033 computations (27.2% saved)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	56
1	57	56

Compiler

Compiled 72 to 56 computations (22.2% saved)

end0.0ms (0%)

sample5.0s (36.4%)

Algorithm

1×

intervals

Results

1.4s	1969×	body	1024	valid
357.0ms	997×	body	512	valid
281.0ms	4413×	body	128	valid
178.0ms	189×	body	2048	valid
80.0ms	432×	body	256	valid
9.0ms	160×	body	128	overflowed

Compiler

Compiled 1795 to 1313 computations (26.9% saved)

Details

analyze526.0ms (3.8%)

sample88.0ms (0.6%)

simplify10.0ms (0.1%)

prune7.0ms (0%)

localize14.0ms (0.1%)

rewrite65.0ms (0.5%)

series357.0ms (2.6%)

simplify126.0ms (0.9%)

prune70.0ms (0.5%)

localize7.0ms (0.1%)

rewrite120.0ms (0.9%)

series383.0ms (2.8%)

simplify93.0ms (0.7%)

prune118.0ms (0.9%)

localize24.0ms (0.2%)

rewrite691.0ms (5%)

series2.7s (19.7%)

simplify161.0ms (1.2%)

prune642.0ms (4.7%)

localize10.0ms (0.1%)

rewrite101.0ms (0.7%)

series1.1s (8.3%)

simplify92.0ms (0.7%)

prune171.0ms (1.2%)

regimes995.0ms (7.2%)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

end0.0ms (0%)

sample5.0s (36.4%)

Profiling