Details

analyze79.0ms (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	17×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify99.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune7.0ms (0.2%)

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

0.8b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_6557`
12×	`times-frac_binary64_6563`
11×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579`
5×	`distribute-lft-out_binary64_6508`
4×	`add-cbrt-cube_binary64_6593` `associate-/r*_binary64_6501` `add-log-exp_binary64_6596`
3×	`add-exp-log_binary64_6595` `associate-/l*_binary64_6502`
2×	`flip-+_binary64_6531` `pow1_binary64_6618` `flip3-+_binary64_6560` `associate-/r/_binary64_6503`
1×	`div-exp_binary64_6608` `sum-log_binary64_6648` `div-inv_binary64_6554` `+-commutative_binary64_6487` `clear-num_binary64_6556` `cbrt-undiv_binary64_6591` `frac-2neg_binary64_6568`

Counts

2 → 45

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series286.0ms (6.6%)

Counts

2 → 23

Calls

2 calls:

218.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
68.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 630 to 492 computations (21.9% saved)

simplify107.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4956	1465
1	4956	1465

prune63.0ms (1.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	4	69

Error

Counts

69 → 4

Compiler

Compiled 1175 to 438 computations (62.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
0.0b	(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)
0.8b	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))

rewrite44.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`cbrt-prod_binary64_6588` `*-un-lft-identity_binary64_6557`
51×	`times-frac_binary64_6563`
44×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579`
24×	`cube-prod_binary64_6585` `unpow-prod-down_binary64_6636`
17×	`associate-/r*_binary64_6501`
13×	`distribute-lft-out_binary64_6508`
6×	`add-cbrt-cube_binary64_6593` `sqr-pow_binary64_6529` `unpow3_binary64_6623` `cube-div_binary64_6586` `add-exp-log_binary64_6595` `cube-mult_binary64_6587` `add-log-exp_binary64_6596`
5×	`pow1_binary64_6618`
4×	`flip-+_binary64_6531` `flip3-+_binary64_6560` `cbrt-div_binary64_6589`
3×	`associate-/l*_binary64_6502` `pow-unpow_binary64_6634`
2×	`associate-/r/_binary64_6503`
1×	`rem-cbrt-cube_binary64_6581` `pow-exp_binary64_6625` `pow-pow_binary64_6629` `pow1/3_binary64_6639` `div-exp_binary64_6608` `sum-log_binary64_6648` `div-inv_binary64_6554` `+-commutative_binary64_6487` `rem-cube-cbrt_binary64_6580` `pow-to-exp_binary64_6626` `clear-num_binary64_6556` `cbrt-undiv_binary64_6591` `frac-2neg_binary64_6568`

Counts

4 → 149

Calls

4 calls:

13.0ms	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
6.0ms	(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series548.0ms (12.7%)

Counts

4 → 47

Calls

4 calls:

213.0ms	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
185.0ms	(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)
77.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
73.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))

Compiler

Compiled 1394 to 1104 computations (20.8% saved)

simplify118.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5142	4510

prune164.0ms (3.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	196	4	200

Error

Counts

200 → 4

Compiler

Compiled 3713 to 1443 computations (61.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
1.0b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.9b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_6557`
13×	`add-sqr-sqrt_binary64_6579`
9×	`add-cube-cbrt_binary64_6592` `pow1_binary64_6618` `add-log-exp_binary64_6596`
8×	`log-prod_binary64_6643` `cancel-sign-sub-inv_binary64_6523`
7×	`exp-sum_binary64_6603`
6×	`log-div_binary64_6644` `exp-prod_binary64_6609`
5×	`add-exp-log_binary64_6595` `log-pow_binary64_6646`
4×	`flip-+_binary64_6531` `add-cbrt-cube_binary64_6593` `associate--r+_binary64_6493` `flip3-+_binary64_6560` `distribute-lft-out--_binary64_6509` `associate--r-_binary64_6496`
3×	`distribute-lft-out_binary64_6508`
2×	`rem-exp-log_binary64_6597` `sub-neg_binary64_6550` `difference-of-squares_binary64_6526` `diff-log_binary64_6649`
1×	`flip--_binary64_6532` `exp-diff_binary64_6605` `rem-log-exp_binary64_6598` `sum-log_binary64_6648` `+-commutative_binary64_6487` `flip3--_binary64_6561`

Counts

4 → 74

Calls

4 calls:

8.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
6.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series752.0ms (17.4%)

Counts

4 → 47

Calls

4 calls:

246.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
232.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
202.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
71.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 1530 to 1245 computations (18.6% saved)

simplify91.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4989	2430
1	4989	2430

prune102.0ms (2.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	121	4	125

Error

Counts

125 → 4

Compiler

Compiled 2037 to 901 computations (55.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(pow.f64 E.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
1.0b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.9b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_6557`
14×	`add-sqr-sqrt_binary64_6579`
10×	`add-cube-cbrt_binary64_6592` `pow1_binary64_6618`
8×	`log-prod_binary64_6643` `cancel-sign-sub-inv_binary64_6523`
7×	`unpow-prod-up_binary64_6635` `add-log-exp_binary64_6596`
6×	`log-div_binary64_6644` `add-exp-log_binary64_6595` `pow-unpow_binary64_6634`
5×	`log-pow_binary64_6646`
4×	`flip-+_binary64_6531` `add-cbrt-cube_binary64_6593` `associate--r+_binary64_6493` `flip3-+_binary64_6560` `distribute-lft-out--_binary64_6509` `associate--r-_binary64_6496`
3×	`distribute-lft-out_binary64_6508` `unpow-prod-down_binary64_6636`
2×	`pow-exp_binary64_6625` `sub-neg_binary64_6550` `difference-of-squares_binary64_6526`
1×	`e-exp-1_binary64_6602` `flip--_binary64_6532` `pow-pow_binary64_6629` `sqr-pow_binary64_6529` `rem-log-exp_binary64_6598` `sum-log_binary64_6648` `+-commutative_binary64_6487` `diff-log_binary64_6649` `pow-to-exp_binary64_6626` `flip3--_binary64_6561` `pow-sub_binary64_6633`

Counts

4 → 80

Calls

4 calls:

8.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
6.0ms	(pow.f64 E.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series785.0ms (18.2%)

Counts

4 → 47

Calls

4 calls:

275.0ms	(pow.f64 E.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
226.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
211.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
72.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 1492 to 1227 computations (17.8% saved)

simplify87.0ms (2%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4970	2685
1	4970	2685

prune105.0ms (2.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	127	4	131

Error

Counts

131 → 4

Compiler

Compiled 2235 to 911 computations (59.2% saved)

regimes108.0ms (2.5%)

Accuracy

Total 0.5b remaining (72.3%)

Threshold costs 0.5b (72.3%)

Compiler

Compiled 768 to 677 computations (11.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

end0.0ms (0%)

sample652.0ms (15.1%)

Algorithm

1×

intervals

Results

224.0ms	8000×	body	128	valid
18.0ms	656×	body	128	overflowed

Compiler

Compiled 173 to 152 computations (12.1% saved)

Details

analyze79.0ms (1.8%)

sample14.0ms (0.3%)

simplify99.0ms (2.3%)

prune7.0ms (0.2%)

localize6.0ms (0.1%)

rewrite15.0ms (0.4%)

series286.0ms (6.6%)

simplify107.0ms (2.5%)

prune63.0ms (1.5%)

localize8.0ms (0.2%)

rewrite44.0ms (1%)

series548.0ms (12.7%)

simplify118.0ms (2.7%)

prune164.0ms (3.8%)

localize8.0ms (0.2%)

rewrite30.0ms (0.7%)

series752.0ms (17.4%)

simplify91.0ms (2.1%)

prune102.0ms (2.4%)

localize9.0ms (0.2%)

rewrite30.0ms (0.7%)

series785.0ms (18.2%)

simplify87.0ms (2%)

prune105.0ms (2.4%)

regimes108.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample652.0ms (15.1%)

Profiling