Details

analyze2.4s (18.6%)

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)

sample88.0ms (0.7%)

Algorithm

1×

intervals

Results

26.0ms	343×	body	80	invalid
19.0ms	256×	body	80	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify508.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (499.0ms)

Iter	Nodes	Cost
0	4957	43
1	4957	43

prune13.0ms (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: 11.8b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 c z) (.f64 i a))
3.7b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.4b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.9b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite27.0ms (0.2%)

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:

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

series74.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
20.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
20.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
11.0ms	(-.f64 (.f64 c z) (.f64 i a))

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4928	1390
1	4928	1390

prune175.0ms (1.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	69	20	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	20	90

Merged error: 8.2b

Counts

90 → 20

Compiler

Compiled 3915 to 878 computations (77.6% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.8b	(.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b))
2.9b	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b)))
3.7b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.9b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite37.0ms (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:

13.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b)))
8.0ms	(.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

series162.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b))
49.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b)))
40.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
20.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5461	1683

prune159.0ms (1.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	103	21	124

Merged error: 8.1b

Counts

124 → 21

Compiler

Compiled 5016 to 996 computations (80.1% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.9b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
6.0b	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
6.0b	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
6.0b	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))

rewrite25.0ms (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 j (-.f64 (.f64 c t) (*.f64 i y)))
6.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
5.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
5.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))

series156.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
44.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
43.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
22.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5293	1250

prune144.0ms (1.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	1	19	20
Picked	0	1	1
Done	0	0	0
Total	66	22	88

Merged error: 8.1b

Counts

88 → 22

Compiler

Compiled 4783 to 901 computations (81.2% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.9b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
6.7b	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
6.7b	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
6.7b	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))

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 j (-.f64 (.f64 c t) (*.f64 i y)))
6.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))

series157.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
44.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
43.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
23.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5256	1250

prune49.0ms (0.4%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	2	18	20
Picked	1	0	1
Done	0	1	1
Total	68	21	89

Merged error: 8.1b

Counts

89 → 21

Compiler

Compiled 3908 to 367 computations (90.6% saved)

regimes1.5s (11.8%)

Compiler: Compiled 7929 to 4995 computations (37% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	155	81
1	155	81

end0.0ms (0%)

sample6.7s (52.3%)

Algorithm

1×

intervals

Results

1.0s	11139×	body	80	invalid
723.0ms	8000×	body	80	valid

Compiler

Compiled 1147 to 661 computations (42.4% saved)

Details

analyze2.4s (18.6%)

sample88.0ms (0.7%)

simplify508.0ms (4%)

prune13.0ms (0.1%)

localize20.0ms (0.2%)

rewrite27.0ms (0.2%)

series74.0ms (0.6%)

simplify88.0ms (0.7%)

prune175.0ms (1.4%)

localize26.0ms (0.2%)

rewrite37.0ms (0.3%)

series162.0ms (1.3%)

simplify56.0ms (0.4%)

prune159.0ms (1.2%)

localize27.0ms (0.2%)

rewrite25.0ms (0.2%)

series156.0ms (1.2%)

simplify82.0ms (0.6%)

prune144.0ms (1.1%)

localize28.0ms (0.2%)

rewrite24.0ms (0.2%)

series157.0ms (1.2%)

simplify81.0ms (0.6%)

prune49.0ms (0.4%)

regimes1.5s (11.8%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample6.7s (52.3%)

Profiling