Details

analyze392.0ms (11.7%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	235×	body	128	valid
1.0ms	10×	body	512	valid
1.0ms	4×	body	1024	valid
0.0ms	7×	body	256	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify320.0ms (9.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (227.0ms)

Iter	Nodes	Cost
0	2426	16
1	2426	16

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.4b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y x) 6)
0.0b	(-.f64 2/3 z)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.4b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite36.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_9989`
18×	`*-un-lft-identity_binary64_9967`
15×	`cancel-sign-sub-inv_binary64_9933`
12×	`add-cube-cbrt_binary64_10002`
11×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005` `pow1_binary64_10028`
10×	`associate-*l/_binary64_9910`
8×	`flip--_binary64_9942` `flip3--_binary64_9971` `associate-r_binary64_9907` `distribute-lft-in_binary64_9916` `associate-+r+_binary64_9899` `add-log-exp_binary64_10006` `distribute-rgt-in_binary64_9917`
6×	`associate-l_binary64_9908`
5×	`sub-neg_binary64_9960`
4×	`frac-times_binary64_9977` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `pow-prod-down_binary64_10038`
3×	`difference-of-squares_binary64_9936` `distribute-lft-out--_binary64_9919`
2×	`associate-r/_binary64_9909` `-commutative_binary64_9898`
1×	`flip3-+_binary64_9970` `flip-+_binary64_9941` `diff-log_binary64_10059` `+-commutative_binary64_9897` `sum-log_binary64_10058` `unswap-sqr_binary64_9935`

Counts

4 → 93

Calls

4 calls:

15.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
6.0ms	(*.f64 (-.f64 y x) 6)
5.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
3.0ms	(-.f64 2/3 z)

series110.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
36.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
18.0ms	(*.f64 (-.f64 y x) 6)
11.0ms	(-.f64 2/3 z)

simplify73.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5014	1467

prune111.0ms (3.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	97	8	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

Compiler

Compiled 1912 to 1111 computations (41.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))
0.0b	(+.f64 x (*.f64 (-.f64 y x) 4))
0.0b	(*.f64 (-.f64 y x) 6)
0.2b	(.f64 (neg.f64 z) (.f64 (-.f64 y x) 6))

rewrite33.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`associate-l_binary64_9908`
13×	`add-sqr-sqrt_binary64_9989`
11×	`add-cbrt-cube_binary64_10003` `add-log-exp_binary64_10006` `add-exp-log_binary64_10005` `*-un-lft-identity_binary64_9967` `pow1_binary64_10028`
9×	`add-cube-cbrt_binary64_10002`
8×	`associate-*l/_binary64_9910`
6×	`associate-*r/_binary64_9909`
4×	`flip--_binary64_9942` `flip3-+_binary64_9970` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `flip3--_binary64_9971` `associate-r_binary64_9907` `flip-+_binary64_9941` `pow-prod-down_binary64_10038` `sum-log_binary64_10058` `frac-add_binary64_9975`
3×	`distribute-rgt-neg-in_binary64_9925` `distribute-lft-neg-in_binary64_9924`
2×	`+-commutative_binary64_9897` `distribute-lft-neg-out_binary64_9926` `*-commutative_binary64_9898`
1×	`associate-+l+_binary64_9900` `unsub-neg_binary64_9961` `difference-of-squares_binary64_9936` `unswap-sqr_binary64_9935` `distribute-lft-out--_binary64_9919` `neg-mul-1_binary64_9963`

Counts

4 → 79

Calls

4 calls:

9.0ms	(.f64 (neg.f64 z) (.f64 (-.f64 y x) 6))
8.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))
7.0ms	(*.f64 (-.f64 y x) 6)
3.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))

series134.0ms (4%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))
37.0ms	(.f64 (neg.f64 z) (.f64 (-.f64 y x) 6))
26.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))
20.0ms	(*.f64 (-.f64 y x) 6)

simplify62.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4966	1542
1	4966	1542

prune90.0ms (2.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

Compiler

Compiled 2103 to 1073 computations (49% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 z (-.f64 x y)) 6))
0.0b	(+.f64 x (*.f64 (-.f64 y x) 4))
0.0b	(*.f64 z (-.f64 x y))
0.3b	(.f64 (.f64 z (-.f64 x y)) 6)

rewrite30.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_9989`
11×	`add-cbrt-cube_binary64_10003` `add-log-exp_binary64_10006` `add-exp-log_binary64_10005` `*-un-lft-identity_binary64_9967` `pow1_binary64_10028`
9×	`add-cube-cbrt_binary64_10002`
8×	`associate-r_binary64_9907` `associate-*r/_binary64_9909`
6×	`associate-*l/_binary64_9910` `cancel-sign-sub-inv_binary64_9933`
4×	`flip--_binary64_9942` `flip3-+_binary64_9970` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `associate-l_binary64_9908` `flip3--_binary64_9971` `distribute-lft-in_binary64_9916` `flip-+_binary64_9941` `pow-prod-down_binary64_10038` `distribute-rgt-in_binary64_9917` `sum-log_binary64_10058` `frac-add_binary64_9975`
2×	`sub-neg_binary64_9960` `+-commutative_binary64_9897` `*-commutative_binary64_9898`
1×	`associate-+l+_binary64_9900` `difference-of-squares_binary64_9936` `unswap-sqr_binary64_9935` `distribute-lft-out--_binary64_9919`

Counts

4 → 78

Calls

4 calls:

7.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 z (-.f64 x y)) 6))
7.0ms	(.f64 (.f64 z (-.f64 x y)) 6)
7.0ms	(*.f64 z (-.f64 x y))
3.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))

series142.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 z (-.f64 x y)) 6))
38.0ms	(.f64 (.f64 z (-.f64 x y)) 6)
36.0ms	(*.f64 z (-.f64 x y))
21.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))

simplify76.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4959	1613
1	4959	1613

prune89.0ms (2.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	90	7	97

Merged error: 0.0b

Counts

97 → 7

Compiler

Compiled 2069 to 953 computations (53.9% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (-.f64 y x) (*.f64 z -6))))
0.4b	(.f64 (-.f64 y x) (.f64 z -6))

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_10003` `add-log-exp_binary64_10006` `add-exp-log_binary64_10005` `*-un-lft-identity_binary64_9967` `pow1_binary64_10028`
5×	`add-sqr-sqrt_binary64_9989` `associate-l_binary64_9908`
3×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `add-cube-cbrt_binary64_10002` `pow-prod-down_binary64_10038` `sum-log_binary64_10058`
2×	`associate-*l/_binary64_9910`
1×	`flip--_binary64_9942` `flip3-+_binary64_9970` `distribute-lft-out_binary64_9918` `flip3--_binary64_9971` `associate-r_binary64_9907` `difference-of-squares_binary64_9936` `flip-+_binary64_9941` `associate-+r+_binary64_9899` `+-commutative_binary64_9897` `distribute-lft-out--_binary64_9919` `*-commutative_binary64_9898`

Counts

2 → 36

Calls

2 calls:

9.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (-.f64 y x) (*.f64 z -6))))
8.0ms	(.f64 (-.f64 y x) (.f64 z -6))

series75.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

43.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (-.f64 y x) (*.f64 z -6))))
32.0ms	(.f64 (-.f64 y x) (.f64 z -6))

simplify50.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5156	653

prune33.0ms (1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	42	7	49

Merged error: 0.0b

Counts

49 → 7

Compiler

Compiled 791 to 427 computations (46% saved)

regimes282.0ms (8.4%)

Compiler: Compiled 2989 to 2466 computations (17.5% saved)

bsearch0.0ms (0%)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	257	22
1	257	22

end0.0ms (0%)

sample1.1s (33.4%)

Algorithm

1×

intervals

Results

279.0ms	7310×	body	128	valid
32.0ms	238×	body	1024	valid
31.0ms	287×	body	512	valid
21.0ms	583×	body	128	invalid
11.0ms	165×	body	256	valid

Compiler

Compiled 612 to 502 computations (18% saved)

Details

analyze392.0ms (11.7%)

sample19.0ms (0.6%)

simplify320.0ms (9.6%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite36.0ms (1.1%)

series110.0ms (3.3%)

simplify73.0ms (2.2%)

prune111.0ms (3.3%)

localize9.0ms (0.3%)

rewrite33.0ms (1%)

series134.0ms (4%)

simplify62.0ms (1.9%)

prune90.0ms (2.7%)

localize10.0ms (0.3%)

rewrite30.0ms (0.9%)

series142.0ms (4.2%)

simplify76.0ms (2.3%)

prune89.0ms (2.7%)

localize9.0ms (0.3%)

rewrite20.0ms (0.6%)

series75.0ms (2.3%)

simplify50.0ms (1.5%)

prune33.0ms (1%)

regimes282.0ms (8.4%)

bsearch0.0ms (0%)

simplify12.0ms (0.3%)

end0.0ms (0%)

sample1.1s (33.4%)

Profiling