Details

analyze354.0ms (6.3%)

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample71.0ms (1.3%)

Algorithm

1×

intervals

Results

31.0ms	63×	body	1024	valid
14.0ms	135×	body	128	valid
9.0ms	37×	body	512	valid
4.0ms	7×	body	2048	valid
2.0ms	14×	body	256	valid
0.0ms	5×	body	128	overflowed

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

prune4.0ms (0.1%)

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

31.0b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
3.8b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

series76.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
22.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify95.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4895	460
1	4895	460

prune33.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Error

30.9b

Counts

34 → 4

Compiler

Compiled 415 to 144 computations (65.3% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
3.8b	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
4.7b	(-.f64 (exp.f64 b) (exp.f64 a))
8.4b	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))

rewrite54.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
24×	`log-prod_binary64`
14×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64`
10×	`distribute-lft-out_binary64` `add-cube-cbrt_binary64`
9×	`associate--l+_binary64`
8×	`unpow-prod-down_binary64` `cube-prod_binary64` `log-div_binary64`
7×	`log-pow_binary64` `cancel-sign-sub-inv_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64`
5×	`distribute-lft-out--_binary64`
4×	`flip3-+_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
3×	`associate--r+_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `diff-log_binary64` `associate--r-_binary64` `rem-log-exp_binary64` `sum-cubes_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

4 → 86

Calls

4 calls:

23.0ms	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
12.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
5.0ms	(-.f64 (exp.f64 b) (exp.f64 a))
5.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))

series518.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

253.0ms	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
151.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
88.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
26.0ms	(-.f64 (exp.f64 b) (exp.f64 a))

simplify95.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5702	3035

prune159.0ms (2.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	95	7	102

Error

30.8b

Counts

102 → 7

Compiler

Compiled 3435 to 1672 computations (51.3% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.7b	(-.f64 (exp.f64 b) (exp.f64 a))
4.7b	(-.f64 (exp.f64 b) (exp.f64 a))
8.5b	(log.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
8.5b	(log.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))

rewrite33.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
12×	`log-prod_binary64`
10×	`add-cube-cbrt_binary64`
8×	`add-log-exp_binary64` `pow1_binary64`
6×	`log-pow_binary64` `add-exp-log_binary64` `cancel-sign-sub-inv_binary64` `sqrt-prod_binary64`
4×	`add-cbrt-cube_binary64` `log-div_binary64` `sqrt-div_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `pow1/2_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `sqrt-pow1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `flip-+_binary64`

Counts

4 → 70

Calls

4 calls:

8.0ms	(log.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
5.0ms	(-.f64 (exp.f64 b) (exp.f64 a))
5.0ms	(-.f64 (exp.f64 b) (exp.f64 a))

series435.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

200.0ms	(log.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
191.0ms	(log.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
23.0ms	(-.f64 (exp.f64 b) (exp.f64 a))
21.0ms	(-.f64 (exp.f64 b) (exp.f64 a))

simplify96.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4939	1988
1	4939	1988

prune163.0ms (2.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	82	7	89

Error

30.8b

Counts

89 → 7

Compiler

Compiled 4157 to 1874 computations (54.9% saved)

localize28.0ms (0.5%)

Local error

Found 4 expressions with local error:

4.6b	(-.f64 (pow.f64 (exp.f64 b) 6) (exp.f64 (+.f64 (.f64 3 b) (.f64 3 a))))
4.7b	(-.f64 (exp.f64 b) (exp.f64 a))
8.3b	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 6) (-.f64 (pow.f64 (exp.f64 b) 6) (exp.f64 (+.f64 (.f64 3 b) (.f64 3 a))))))
8.4b	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))

rewrite44.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64` `log-prod_binary64` `add-cube-cbrt_binary64`
7×	`cancel-sign-sub-inv_binary64`
6×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64` `difference-of-squares_binary64` `log-div_binary64`
3×	`distribute-lft-out--_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `log-pow_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sqr-pow_binary64` `exp-sum_binary64` `unpow-prod-down_binary64`

Counts

4 → 65

Calls

4 calls:

13.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 6) (-.f64 (pow.f64 (exp.f64 b) 6) (exp.f64 (+.f64 (.f64 3 b) (.f64 3 a))))))
9.0ms	(-.f64 (pow.f64 (exp.f64 b) 6) (exp.f64 (+.f64 (.f64 3 b) (.f64 3 a))))
5.0ms	(-.f64 (exp.f64 b) (exp.f64 a))
5.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))

series397.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

181.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 6) (-.f64 (pow.f64 (exp.f64 b) 6) (exp.f64 (+.f64 (.f64 3 b) (.f64 3 a))))))
137.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
57.0ms	(-.f64 (pow.f64 (exp.f64 b) 6) (exp.f64 (+.f64 (.f64 3 b) (.f64 3 a))))
22.0ms	(-.f64 (exp.f64 b) (exp.f64 a))

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4951	1967
1	4951	1967

prune185.0ms (3.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	76	8	84

Error

30.8b

Counts

84 → 8

Compiler

Compiled 3949 to 2174 computations (44.9% saved)

regimes308.0ms (5.5%)

Accuracy

Total 0.5b remaining (1.6%)

Threshold costs 0.5b (1.6%)

Compiler

Compiled 4460 to 2902 computations (34.9% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	70
1	48	70

Compiler

Compiled 84 to 48 computations (42.9% saved)

end0.0ms (0%)

sample2.3s (41.6%)

Algorithm

1×

intervals

Results

881.0ms	1939×	body	1024	valid
232.0ms	969×	body	512	valid
194.0ms	4453×	body	128	valid
114.0ms	186×	body	2048	valid
55.0ms	453×	body	256	valid
5.0ms	134×	body	128	overflowed

Compiler

Compiled 765 to 495 computations (35.3% saved)

Details

analyze354.0ms (6.3%)

sample71.0ms (1.3%)

simplify7.0ms (0.1%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite12.0ms (0.2%)

series76.0ms (1.4%)

simplify95.0ms (1.7%)

prune33.0ms (0.6%)

localize16.0ms (0.3%)

rewrite54.0ms (1%)

series518.0ms (9.2%)

simplify95.0ms (1.7%)

prune159.0ms (2.8%)

localize19.0ms (0.3%)

rewrite33.0ms (0.6%)

series435.0ms (7.8%)

simplify96.0ms (1.7%)

prune163.0ms (2.9%)

localize28.0ms (0.5%)

rewrite44.0ms (0.8%)

series397.0ms (7.1%)

simplify58.0ms (1%)

prune185.0ms (3.3%)

regimes308.0ms (5.5%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample2.3s (41.6%)

Profiling