Details

analyze61.0ms (2.7%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample25.0ms (1.1%)

Algorithm

1×

intervals

Results

10.0ms	227×	body	80	valid
4.0ms	7×	body	1280	valid
3.0ms	9×	body	640	valid
1.0ms	5×	body	320	valid
1.0ms	8×	body	160	valid
0.0ms	2×	body	80	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify182.0ms (8.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (170.0ms)

Iter	Nodes	Cost
0	5684	14

prune3.0ms (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

Merged error: 0.5b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.5b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
8×	`log-prod_binary64`
6×	`add-log-exp_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `log-div_binary64` `associate--l+_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
2×	`associate--l-_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `log-pow_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 44

Calls

3 calls:

6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

series23.0ms (1%)

Counts

3 → 9

Calls

3 calls:

11.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
9.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
2.0ms	(+.f64 1 (exp.f64 x))

simplify80.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5084	761

prune42.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	4	54

Merged error: 0.2b

Counts

54 → 4

Compiler

Compiled 815 to 466 computations (42.8% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite21.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
16×	`sqrt-prod_binary64`
14×	`log-prod_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-cube-cbrt_binary64`
8×	`sqrt-div_binary64`
6×	`log-pow_binary64` `add-exp-log_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1/2_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `log-div_binary64` `flip-+_binary64`
2×	`rem-log-exp_binary64` `rem-sqrt-square_binary64`

Counts

4 → 72

Calls

4 calls:

5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
5.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

series38.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
13.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

simplify100.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5143	1170

prune69.0ms (3.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0.2b

Counts

88 → 4

Compiler

Compiled 1874 to 1208 computations (35.5% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))
0.0b	(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))) (*.f64 x y))
8.3b	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))

rewrite28.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
6×	`log-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `log-div_binary64`
3×	`flip3-+_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `associate--l+_binary64` `sum-log_binary64`
2×	`associate--l-_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `log-pow_binary64` `+-commutative_binary64` `flip--_binary64` `associate-+r+_binary64`

Counts

3 → 43

Calls

3 calls:

11.0ms	(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))) (*.f64 x y))
9.0ms	(+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))
8.0ms	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))

series17.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))
3.0ms	(+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))

simplify79.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4918	1213
1	4918	1213

prune45.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	52	4	56

Merged error: 0.2b

Counts

56 → 4

Compiler

Compiled 1194 to 778 computations (34.8% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))))) (*.f64 x y))
0.0b	(log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))))
0.3b	(exp.f64 (log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))))
8.3b	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`log-prod_binary64`
9×	`pow1_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64`
5×	`log-pow_binary64`
4×	`add-cbrt-cube_binary64` `exp-sum_binary64` `exp-prod_binary64`
2×	`rem-log-exp_binary64` `log-div_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-exp-log_binary64` `flip--_binary64` `flip-+_binary64`

Counts

4 → 54

Calls

4 calls:

8.0ms	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))
6.0ms	(-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))))) (*.f64 x y))
3.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))))
1.0ms	(log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))))

series26.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))))) (*.f64 x y))
8.0ms	(log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))))
4.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))))
4.0ms	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))

simplify87.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4940	1635
1	4940	1635

prune54.0ms (2.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	66	4	70

Merged error: 0.2b

Counts

70 → 4

Compiler

Compiled 1568 to 1058 computations (32.5% saved)

regimes74.0ms (3.3%)

Compiler: Compiled 190 to 165 computations (13.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

end0.0ms (0%)

sample1.1s (49.5%)

Algorithm

1×

intervals

Results

390.0ms	7322×	body	80	valid
89.0ms	256×	body	640	valid
83.0ms	131×	body	1280	valid
40.0ms	173×	body	320	valid
15.0ms	118×	body	160	valid
2.0ms	36×	body	80	invalid
1.0ms	11×	body	80	overflowed

Compiler

Compiled 101 to 86 computations (14.9% saved)

Details

analyze61.0ms (2.7%)

sample25.0ms (1.1%)

simplify182.0ms (8.1%)

prune3.0ms (0.2%)

localize7.0ms (0.3%)

rewrite15.0ms (0.7%)

series23.0ms (1%)

simplify80.0ms (3.6%)

prune42.0ms (1.9%)

localize10.0ms (0.4%)

rewrite21.0ms (0.9%)

series38.0ms (1.7%)

simplify100.0ms (4.5%)

prune69.0ms (3.1%)

localize10.0ms (0.4%)

rewrite28.0ms (1.3%)

series17.0ms (0.8%)

simplify79.0ms (3.5%)

prune45.0ms (2%)

localize13.0ms (0.6%)

rewrite19.0ms (0.8%)

series26.0ms (1.2%)

simplify87.0ms (3.9%)

prune54.0ms (2.4%)

regimes74.0ms (3.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample1.1s (49.5%)

Profiling