Details

analyze2.1s (18.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample84.0ms (0.7%)

Algorithm

1×

intervals

Results

25.0ms	340×	body	80	invalid
24.0ms	256×	body	80	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify504.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (494.0ms)

Iter	Nodes	Cost
0	4957	43
1	4957	43

prune10.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 11.5b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 c a) (.f64 y i))
3.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.5b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
6.1b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
7×	`sub-neg_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`diff-log_binary64`

Counts

4 → 77

Calls

4 calls:

9.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
4.0ms	(-.f64 (.f64 c a) (.f64 y i))

series73.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
21.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
20.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
11.0ms	(-.f64 (.f64 c a) (.f64 y i))

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4939	1390
1	4939	1390

prune168.0ms (1.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	70	19	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	19	90

Merged error: 8.5b

Counts

90 → 19

Compiler

Compiled 3845 to 853 computations (77.8% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.5b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
7.0b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
7.0b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
7.0b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))

series136.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
37.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
37.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
22.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4952	1361
1	4952	1361

prune133.0ms (1.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	73	19	92

Merged error: 8.5b

Counts

92 → 19

Compiler

Compiled 4747 to 934 computations (80.3% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.1b	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 c z) (*.f64 t i)) (cbrt.f64 b)))
3.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
4.1b	(.f64 (-.f64 (.f64 c z) (*.f64 t i)) (cbrt.f64 b))
5.5b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

rewrite36.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`pow1_binary64` `add-exp-log_binary64`
19×	`add-sqr-sqrt_binary64`
15×	`add-cbrt-cube_binary64`
13×	`associate-r_binary64`
11×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
10×	`associate-l_binary64`
6×	`associate-*r/_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `unswap-sqr_binary64` `flip--_binary64` `cbrt-prod_binary64` `associate-l/_binary64` `-commutative_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`

Counts

4 → 92

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 c z) (*.f64 t i)) (cbrt.f64 b)))
7.0ms	(.f64 (-.f64 (.f64 c z) (*.f64 t i)) (cbrt.f64 b))
7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

series111.0ms (1%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(.f64 (-.f64 (.f64 c z) (*.f64 t i)) (cbrt.f64 b))
26.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 c z) (*.f64 t i)) (cbrt.f64 b)))
20.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
20.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5459	1683

prune178.0ms (1.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	102	21	123

Merged error: 8.5b

Counts

123 → 21

Compiler

Compiled 4981 to 1010 computations (79.7% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.1b	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) (*.f64 t a))))
6.1b	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) (*.f64 t a))))
6.1b	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) (*.f64 t a))))
6.1b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `cbrt-prod_binary64`
2×	`sub-neg_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 55

Calls

4 calls:

7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
5.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) (*.f64 t a))))
5.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) (*.f64 t a))))
5.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) (*.f64 t a))))

series153.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) (*.f64 t a))))
45.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) (*.f64 t a))))
42.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) (*.f64 t a))))
20.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5228	1250

prune46.0ms (0.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	0	20	20
Picked	1	0	1
Done	0	0	0
Total	66	22	88

Merged error: 8.5b

Counts

88 → 22

Compiler

Compiled 3908 to 387 computations (90.1% saved)

regimes1.5s (13.3%)

Compiler: Compiled 7632 to 5193 computations (32% saved)

bsearch72.0ms (0.6%)

Steps

Iters	Range		Point
6	7.473414247231417e-276	3.208905445120006e-275	1.133812787451328e-275
8	-1.5821025440800254e-257	-1.088113137344956e-260	-3.944679319975896e-259

Compiler

Compiled 1 to 9 computations (-800% saved)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	615	171
1	615	171

end0.0ms (0%)

sample5.7s (49.5%)

Algorithm

1×

intervals

Results

890.0ms	11400×	body	80	invalid
640.0ms	8000×	body	80	valid

Compiler

Compiled 1104 to 685 computations (38% saved)

Details

analyze2.1s (18.1%)

sample84.0ms (0.7%)

simplify504.0ms (4.3%)

prune10.0ms (0.1%)

localize19.0ms (0.2%)

rewrite29.0ms (0.3%)

series73.0ms (0.6%)

simplify89.0ms (0.8%)

prune168.0ms (1.4%)

localize24.0ms (0.2%)

rewrite20.0ms (0.2%)

series136.0ms (1.2%)

simplify75.0ms (0.6%)

prune133.0ms (1.1%)

localize25.0ms (0.2%)

rewrite36.0ms (0.3%)

series111.0ms (1%)

simplify76.0ms (0.7%)

prune178.0ms (1.5%)

localize27.0ms (0.2%)

rewrite24.0ms (0.2%)

series153.0ms (1.3%)

simplify79.0ms (0.7%)

prune46.0ms (0.4%)

regimes1.5s (13.3%)

bsearch72.0ms (0.6%)

simplify21.0ms (0.2%)

end0.0ms (0%)

sample5.7s (49.5%)

Profiling