Details

analyze13.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
74.9%	25%	0.1%	3
87.4%	12.5%	0.1%	4
93.7%	6.2%	0.1%	5
93.7%	6.2%	0.1%	6
93.7%	4.7%	1.7%	7
93.7%	3.9%	2.4%	8
93.7%	2.7%	3.6%	9
93.7%	2.1%	4.2%	10
93.7%	1.5%	4.9%	11
93.7%	1.1%	5.2%	12
93.7%	0.8%	5.6%	13
93.7%	0.6%	5.8%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample787.0ms (16.9%)

Results

553.0ms	8256×	body	128	valid
202.0ms	2903×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	8	13
2	8	13

prune1.0ms (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

0.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 30 to 18 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series35.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

31.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
5×	`distribute-lft-out_binary64`

Counts

2 → 52

Calls

2 calls:

5.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify89.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-neg_binary64`
536×	`times-frac_binary64`
493×	`fma-def_binary64`
389×	`associate-/l*_binary64`
245×	`associate-/r*_binary64`

Counts

100 → 108

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1981
1	449	1869
2	1403	1853
3	4915	1853
4	5640	1853

prune75.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	3	109

Error

0.4b

Counts

109 → 3

Alt Table

Status	Error	Program
	11.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
	0.8b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
▶	0.7b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 2259 to 845 computations (62.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	1.2b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	4.9b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series728.0ms (15.7%)

Counts

2 → 48

Calls

2 calls:

448.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
280.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
12×	`prod-diff_binary64`
8×	`log-prod_binary64`

Counts

2 → 58

Calls

2 calls:

6.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
3.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

simplify109.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

868×	`fma-neg_binary64`
696×	`fma-def_binary64`
260×	`times-frac_binary64`
229×	`associate-/l*_binary64`
226×	`cancel-sign-sub-inv_binary64`

Counts

106 → 116

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	2026
1	419	1960
2	1510	1913
3	4474	1913
4	4969	1913
5	5111	1913

prune89.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	156	2	158

Error

0.4b

Counts

158 → 2

Alt Table

Status	Error	Program
▶	11.0b	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓	0.7b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 3369 to 1318 computations (60.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓	0.2b	(log1p.f64 (exp.f64 b))

series397.0ms (8.5%)

Counts

2 → 24

Calls

2 calls:

201.0ms	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
196.0ms	(log1p.f64 (exp.f64 b))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`exp-prod_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`add-log-exp_binary64`

Counts

2 → 35

Calls

2 calls:

2.0ms	(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
0.0ms	(log1p.f64 (exp.f64 b))

simplify94.0ms (2%)

Algorithm

1×	egg-herbie

Rules

599×	`fma-def_binary64`
596×	`distribute-rgt-neg-in_binary64`
435×	`associate-l_binary64`
393×	`associate-r_binary64`
325×	`cancel-sign-sub-inv_binary64`

Counts

59 → 57

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	80	611
1	167	503
2	392	491
3	1015	482
4	3214	482
5	4518	478
6	4929	478
7	4857	478

prune42.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	57	2	59

Error

0.4b

Counts

59 → 2

Alt Table

Status	Error	Program
▶	11.5b	(exp.f64 (neg.f64 (.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (log1p.f64 (exp.f64 b))))))
✓	0.7b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Status

Error

Program

▶

11.5b

(exp.f64 (neg.f64 (*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (log1p.f64 (exp.f64 b))))))

✓

0.7b

(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 635 to 351 computations (44.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b))))
	0.2b	(log1p.f64 (exp.f64 b))
✓	0.5b	(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (log1p.f64 (exp.f64 b))))
✓	0.8b	(cbrt.f64 (log1p.f64 (exp.f64 b)))

series1.2s (26.1%)

Counts

3 → 36

Calls

3 calls:

544.0ms

(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b))))

445.0ms

(cbrt.f64 (log1p.f64 (exp.f64 b)))

221.0ms

(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (log1p.f64 (exp.f64 b))))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`pow1/3_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

8.0ms

(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (log1p.f64 (exp.f64 b))))

4.0ms

(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b))))

1.0ms

(cbrt.f64 (log1p.f64 (exp.f64 b)))

simplify115.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

822×	`unswap-sqr_binary64`
432×	`fma-neg_binary64`
410×	`fma-def_binary64`
321×	`*-commutative_binary64`
213×	`log-prod_binary64`

Counts

129 → 143

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	156	1867
1	360	1630
2	1146	1497
3	2840	1465
4	4600	1441
5	4945	1441
6	5003	1441

prune221.0ms (4.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	251	1	252
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	251	3	254

Error

0.4b

Counts

254 → 3

Alt Table

Status	Error	Program
✓	11.5b	(exp.f64 (neg.f64 (.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (log1p.f64 (exp.f64 b))))))
	11.9b	(exp.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 8) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))
✓	0.7b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 5816 to 2376 computations (59.1% saved)

regimes496.0ms (10.7%)

Accuracy

Total 0.2b remaining (37.9%)

Threshold costs 0.2b (37.9%)

Counts

100 → 1

Compiler

Compiled 8140 to 5992 computations (26.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	12	15
2	17	15
3	19	15
4	20	15
5	20	15

end58.0ms (1.2%)

Compiler: Compiled 68 to 44 computations (35.3% saved)

Details

analyze13.0ms (0.3%)

sample787.0ms (16.9%)

simplify7.0ms (0.2%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series35.0ms (0.8%)

rewrite13.0ms (0.3%)

simplify89.0ms (1.9%)

prune75.0ms (1.6%)

localize7.0ms (0.2%)

series728.0ms (15.7%)

rewrite14.0ms (0.3%)

simplify109.0ms (2.3%)

prune89.0ms (1.9%)

localize5.0ms (0.1%)

series397.0ms (8.5%)

rewrite4.0ms (0.1%)

simplify94.0ms (2%)

prune42.0ms (0.9%)

localize8.0ms (0.2%)

series1.2s (26.1%)

rewrite19.0ms (0.4%)

simplify115.0ms (2.5%)

prune221.0ms (4.7%)

regimes496.0ms (10.7%)

simplify3.0ms (0.1%)

end58.0ms (1.2%)

Profiling