Details

analyze286.0ms (10.4%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample15.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	20×	body	80	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify43.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	538	13
1	538	13

prune4.0ms (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: 3.1b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 y) z)
2.9b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
9×	`-un-lft-identity_binary64` `associate-l*_binary64`
6×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `flip--_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64`

Counts

2 → 45

Calls

2 calls:

10.0ms	(*.f64 (-.f64 1 y) z)
6.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

series15.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
5.0ms	(*.f64 (-.f64 1 y) z)

simplify114.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4955	623
1	4955	623

prune68.0ms (2.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	40	11	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	11	52

Merged error: 3.0b

Counts

52 → 11

Compiler

Compiled 911 to 662 computations (27.3% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
2.9b	(.f64 x (-.f64 (.f64 y z) z))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

8.0ms	(.f64 x (-.f64 (.f64 y z) z))
4.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))

series21.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
10.0ms	(.f64 x (-.f64 (.f64 y z) z))

simplify78.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5464	591

prune38.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	6	4	10
Picked	0	1	1
Done	0	0	0
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

Compiler

Compiled 681 to 214 computations (68.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
3.3b	(.f64 (.f64 x z) (-.f64 y 1))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `associate-+r+_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `difference-of-sqr-1_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

9.0ms	(.f64 (.f64 x z) (-.f64 y 1))
4.0ms	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))

series20.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
9.0ms	(.f64 (.f64 x z) (-.f64 y 1))

simplify73.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5073	606

prune37.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	43	8	51

Merged error: 0.0b

Counts

51 → 8

Compiler

Compiled 736 to 417 computations (43.3% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

3.3b	(.f64 (.f64 x z) (-.f64 y 1))
8.2b	(cbrt.f64 (.f64 (.f64 x z) (-.f64 y 1)))
8.2b	(cbrt.f64 (.f64 (.f64 x z) (-.f64 y 1)))
8.2b	(cbrt.f64 (.f64 (.f64 x z) (-.f64 y 1)))

rewrite31.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
8×	`-un-lft-identity_binary64` `associate-r/_binary64`
7×	`associate-r_binary64`
6×	`cbrt-div_binary64`
5×	`add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
2×	`sub-neg_binary64` `difference-of-squares_binary64`
1×	`difference-of-sqr-1_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

8.0ms	(.f64 (.f64 x z) (-.f64 y 1))
8.0ms	(cbrt.f64 (.f64 (.f64 x z) (-.f64 y 1)))
6.0ms	(cbrt.f64 (.f64 (.f64 x z) (-.f64 y 1)))
6.0ms	(cbrt.f64 (.f64 (.f64 x z) (-.f64 y 1)))

series105.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(cbrt.f64 (.f64 (.f64 x z) (-.f64 y 1)))
31.0ms	(cbrt.f64 (.f64 (.f64 x z) (-.f64 y 1)))
31.0ms	(cbrt.f64 (.f64 (.f64 x z) (-.f64 y 1)))
9.0ms	(.f64 (.f64 x z) (-.f64 y 1))

simplify88.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4953	1245
1	4953	1245

prune67.0ms (2.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	70	9	79

Merged error: 0.0b

Counts

79 → 9

Compiler

Compiled 2476 to 1394 computations (43.7% saved)

regimes458.0ms (16.7%)

Compiler: Compiled 1497 to 1233 computations (17.6% saved)

bsearch21.0ms (0.8%)

Steps

Iters	Range		Point
8	6.8775861932357e-07	0.0008083492534592504	0.00011004603446563778
6	-5.368536312003142e-49	-8.481343983568171e-50	-5.299420080660153e-49

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	52	40
1	52	40

end0.0ms (0%)

sample1.1s (39.5%)

Algorithm

1×

intervals

Results

209.0ms	8000×	body	80	valid
21.0ms	730×	body	80	invalid

Compiler

Compiled 271 to 208 computations (23.2% saved)

Details

analyze286.0ms (10.4%)

sample15.0ms (0.5%)

simplify43.0ms (1.6%)

prune4.0ms (0.2%)

localize6.0ms (0.2%)

rewrite18.0ms (0.6%)

series15.0ms (0.5%)

simplify114.0ms (4.1%)

prune68.0ms (2.5%)

localize8.0ms (0.3%)

rewrite13.0ms (0.5%)

series21.0ms (0.8%)

simplify78.0ms (2.8%)

prune38.0ms (1.4%)

localize6.0ms (0.2%)

rewrite14.0ms (0.5%)

series20.0ms (0.7%)

simplify73.0ms (2.7%)

prune37.0ms (1.4%)

localize10.0ms (0.4%)

rewrite31.0ms (1.1%)

series105.0ms (3.8%)

simplify88.0ms (3.2%)

prune67.0ms (2.4%)

regimes458.0ms (16.7%)

bsearch21.0ms (0.8%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample1.1s (39.5%)

Profiling