Details

analyze436.0ms (2.8%)

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)

sample69.0ms (0.4%)

Algorithm

1×

intervals

Results

32.0ms	69×	body	1024	valid
7.0ms	142×	body	128	valid
6.0ms	28×	body	512	valid
3.0ms	4×	body	2048	valid
2.0ms	13×	body	256	valid
0.0ms	2×	body	128	overflowed

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

prune6.0ms (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

28.8b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
3.4b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite55.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

28.7b

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:

6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 330 to 84 computations (74.5% saved)

series358.0ms (2.3%)

Error

0.7b

Counts

2 → 23

Calls

2 calls:

277.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
52.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 699 to 563 computations (19.5% saved)

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4976	826
1	4976	826

prune57.0ms (0.4%)

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

0.7b

Counts

51 → 5

Compiler

Compiled 578 to 280 computations (51.6% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

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))
0.3b	(log.f64 (+.f64 1 (exp.f64 a)))

rewrite109.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

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×	`flip3-+_binary64` `flip-+_binary64` `add-exp-log_binary64`
4×	`log-div_binary64` `add-cbrt-cube_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:

13.0ms	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
4.0ms	(+.f64 1 (exp.f64 a))
4.0ms	(+.f64 1 (exp.f64 a))
4.0ms	(log.f64 (+.f64 1 (exp.f64 a)))

Compiler

Compiled 1045 to 658 computations (37% saved)

series465.0ms (3%)

Error

0.7b

Counts

4 → 27

Calls

4 calls:

320.0ms	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
86.0ms	(log.f64 (+.f64 1 (exp.f64 a)))
19.0ms	(+.f64 1 (exp.f64 a))
16.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 746 to 611 computations (18.1% saved)

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4929	1224
1	4929	1224

prune102.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	83	7	90

Error

0.7b

Counts

90 → 7

Compiler

Compiled 1213 to 803 computations (33.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) 1)
0.3b	(log.f64 (+.f64 (exp.f64 a) 1))
0.5b	(pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3)
20.6b	(cbrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))

rewrite159.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

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

Counts

4 → 83

Calls

4 calls:

13.0ms	(pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3)
12.0ms	(cbrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
4.0ms	(log.f64 (+.f64 (exp.f64 a) 1))
4.0ms	(+.f64 (exp.f64 a) 1)

Compiler

Compiled 1728 to 1182 computations (31.6% saved)

series1.0s (6.8%)

Error

0.7b

Counts

4 → 39

Calls

4 calls:

547.0ms	(pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3)
334.0ms	(cbrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
81.0ms	(log.f64 (+.f64 (exp.f64 a) 1))
18.0ms	(+.f64 (exp.f64 a) 1)

Compiler

Compiled 2314 to 1910 computations (17.5% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5070	3394

prune137.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	123	6	129

Error

0.7b

Counts

129 → 6

Compiler

Compiled 1908 to 1343 computations (29.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.6b	(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))
5.6b	(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))
15.5b	(sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
15.5b	(sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))

rewrite333.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

64×	`sqrt-prod_binary64`
42×	`*-un-lft-identity_binary64`
38×	`cbrt-prod_binary64`
24×	`add-sqr-sqrt_binary64`
22×	`unpow-prod-down_binary64` `cube-prod_binary64`
18×	`add-cube-cbrt_binary64`
16×	`distribute-lft-out_binary64`
12×	`pow1_binary64`
8×	`cube-div_binary64` `sqrt-div_binary64` `log-pow_binary64` `rem-sqrt-square_binary64`
6×	`sqr-pow_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64` `cbrt-div_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `pow1/3_binary64`

Counts

4 → 120

Calls

4 calls:

17.0ms	(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))
13.0ms	(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))
13.0ms	(sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
13.0ms	(sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))

Compiler

Compiled 4186 to 2939 computations (29.8% saved)

series7.6s (49.7%)

Error

0.7b

Counts

4 → 42

Calls

4 calls:

3.2s	(sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
3.2s	(sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
363.0ms	(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))
361.0ms	(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))

Compiler

Compiled 15535 to 13339 computations (14.1% saved)

simplify137.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4971	14674
1	4971	14674

prune854.0ms (5.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	161	1	162
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	161	7	168

Error

0.7b

Counts

168 → 7

Compiler

Compiled 10250 to 7953 computations (22.4% saved)

regimes865.0ms (5.6%)

Accuracy

Total 0.5b remaining (46.7%)

Threshold costs 0.5b (46.7%)

Compiler

Compiled 8722 to 7051 computations (19.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	19
1	12	19

end8.0ms (0.1%)

Compiler: Compiled 36 to 30 computations (16.7% saved)

sample2.3s (14.8%)

Algorithm

1×

intervals

Results

928.0ms	1991×	body	1024	valid
231.0ms	961×	body	512	valid
194.0ms	4328×	body	128	valid
151.0ms	223×	body	2048	valid
66.0ms	497×	body	256	valid
5.0ms	132×	body	128	overflowed

Compiler

Compiled 172 to 151 computations (12.2% saved)

Details

analyze436.0ms (2.8%)

sample69.0ms (0.4%)

simplify7.0ms (0%)

prune6.0ms (0%)

localize7.0ms (0%)

rewrite55.0ms (0.4%)

series358.0ms (2.3%)

simplify93.0ms (0.6%)

prune57.0ms (0.4%)

localize7.0ms (0%)

rewrite109.0ms (0.7%)

series465.0ms (3%)

simplify72.0ms (0.5%)

prune102.0ms (0.7%)

localize11.0ms (0.1%)

rewrite159.0ms (1%)

series1.0s (6.8%)

simplify60.0ms (0.4%)

prune137.0ms (0.9%)

localize14.0ms (0.1%)

rewrite333.0ms (2.2%)

series7.6s (49.7%)

simplify137.0ms (0.9%)

prune854.0ms (5.6%)

regimes865.0ms (5.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end8.0ms (0.1%)

sample2.3s (14.8%)

Profiling