Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample26.0ms (1.1%)

Algorithm

1×

intervals

Results

11.0ms	256×	pre	128	true
7.0ms	256×	body	128	valid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify164.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune2.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 b c) d)
0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_1762`
7×	`add-log-exp_binary64_1798`
6×	`add-sqr-sqrt_binary64_1783` `distribute-lft-out_binary64_1715`
5×	`associate-r_binary64_1704`
4×	`add-cube-cbrt_binary64_1794` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`
3×	`associate-l_binary64_1705` `sum-log_binary64_1850`
2×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `associate-*r/_binary64_1706`
1×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `unswap-sqr_binary64_1730` `+-commutative_binary64_1694` `cbrt-unprod_binary64_1792` `distribute-rgt-in_binary64_1714` `*-commutative_binary64_1695` `distribute-lft-in_binary64_1713` `associate-+l+_binary64_1697`

Counts

2 → 39

Calls

2 calls:

10.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
7.0ms	(+.f64 (+.f64 b c) d)

series82.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

57.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
25.0ms	(+.f64 (+.f64 b c) d)

simplify58.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5030	499

prune30.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Merged error: 0.0b

Counts

46 → 4

Compiler

Compiled 553 to 137 computations (75.2% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 a (+.f64 b c))
0.0b	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1783` `*-un-lft-identity_binary64_1762`
4×	`add-log-exp_binary64_1798` `add-cube-cbrt_binary64_1794` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820` `associate-r_binary64_1704`
3×	`associate-l_binary64_1705`
2×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `associate-*r/_binary64_1706` `distribute-rgt-in_binary64_1714` `distribute-lft-in_binary64_1713` `distribute-lft-out_binary64_1715` `associate-+l+_binary64_1697`
1×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `unswap-sqr_binary64_1730` `+-commutative_binary64_1694` `cbrt-unprod_binary64_1792` `*-commutative_binary64_1695` `sum-log_binary64_1850`

Counts

2 → 37

Calls

2 calls:

7.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
7.0ms	(*.f64 a (+.f64 b c))

series120.0ms (5.1%)

Counts

2 → 6

Calls

2 calls:

66.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
54.0ms	(*.f64 a (+.f64 b c))

simplify48.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4995	471
1	4995	471

prune28.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	43	4	47

Merged error: 0b

Counts

47 → 4

Compiler

Compiled 591 to 160 computations (72.9% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 a b) (.f64 a c)) (*.f64 a d))
0.0b	(+.f64 (.f64 a b) (.f64 a c))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_1798`
4×	`sum-log_binary64_1850`
3×	`distribute-lft-out_binary64_1715`
2×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `+-commutative_binary64_1694` `add-sqr-sqrt_binary64_1783` `*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`
1×	`associate-+l+_binary64_1697`

Counts

2 → 26

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 a b) (.f64 a c)) (*.f64 a d))
4.0ms	(+.f64 (.f64 a b) (.f64 a c))

series122.0ms (5.2%)

Counts

2 → 6

Calls

2 calls:

65.0ms	(+.f64 (+.f64 (.f64 a b) (.f64 a c)) (*.f64 a d))
57.0ms	(+.f64 (.f64 a b) (.f64 a c))

simplify47.0ms (2%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5010	407

prune20.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	32	4	36

Merged error: 0b

Counts

36 → 4

Compiler

Compiled 454 to 122 computations (73.1% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 b c) d)
0.2b	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
0.4b	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))

rewrite35.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_1762`
12×	`add-sqr-sqrt_binary64_1783`
11×	`associate-l_binary64_1705`
10×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`
8×	`add-log-exp_binary64_1798` `add-cube-cbrt_binary64_1794`
7×	`sqrt-prod_binary64_1777` `associate-r_binary64_1704`
6×	`distribute-lft-out_binary64_1715`
4×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `associate-*l/_binary64_1707` `cbrt-unprod_binary64_1792`
3×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `sum-log_binary64_1850`
2×	`unswap-sqr_binary64_1730` `associate-r/_binary64_1706` `-commutative_binary64_1695`
1×	`+-commutative_binary64_1694` `associate-+l+_binary64_1697`

Counts

3 → 64

Calls

3 calls:

13.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))
11.0ms	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
6.0ms	(+.f64 (+.f64 b c) d)

series265.0ms (11.2%)

Counts

3 → 9

Calls

3 calls:

135.0ms	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
105.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))
24.0ms	(+.f64 (+.f64 b c) d)

simplify72.0ms (3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4914	947
1	4914	947

prune46.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	73	4	77

Merged error: 0b

Counts

77 → 4

Compiler

Compiled 1073 to 210 computations (80.4% saved)

regimes77.0ms (3.3%)

Compiler: Compiled 374 to 320 computations (14.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample1.0s (43.7%)

Algorithm

1×

intervals

Results

401.0ms	8000×	body	128	valid
336.0ms	8000×	pre	128	true

Compiler

Compiled 88 to 75 computations (14.8% saved)

Details

analyze4.0ms (0.2%)

sample26.0ms (1.1%)

simplify164.0ms (6.9%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite19.0ms (0.8%)

series82.0ms (3.5%)

simplify58.0ms (2.4%)

prune30.0ms (1.3%)

localize7.0ms (0.3%)

rewrite17.0ms (0.7%)

series120.0ms (5.1%)

simplify48.0ms (2.1%)

prune28.0ms (1.2%)

localize8.0ms (0.3%)

rewrite13.0ms (0.5%)

series122.0ms (5.2%)

simplify47.0ms (2%)

prune20.0ms (0.8%)

localize10.0ms (0.4%)

rewrite35.0ms (1.5%)

series265.0ms (11.2%)

simplify72.0ms (3%)

prune46.0ms (1.9%)

regimes77.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (43.7%)

Profiling