Details

analyze132.0ms (1.8%)

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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5147	43

prune3.0ms (0%)

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: 0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.7b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite46.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`pow1_binary64` `add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
13×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`associate-r_binary64`
8×	`add-cube-cbrt_binary64`
6×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-*r/_binary64` `insert-posit16`
3×	`pow-unpow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unpow-prod-down_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `associate-l_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `flip-+_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 85

Calls

4 calls:

13.0ms	(.f64 (.f64 b b) (+.f64 3 a))
12.0ms	(.f64 (.f64 a a) (-.f64 1 a))
12.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
6.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series338.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

151.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
78.0ms	(.f64 (.f64 a a) (-.f64 1 a))
55.0ms	(.f64 (.f64 b b) (+.f64 3 a))
54.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5227	1816

prune146.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	3	98

Merged error: 0.0b

Counts

98 → 3

Compiler

Compiled 3446 to 1757 computations (49% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 b b) (.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.7b	(.f64 (.f64 b b) (+.f64 3 a))
3.2b	(.f64 (.f64 b b) (*.f64 a a))

rewrite74.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`pow1_binary64`
32×	`associate-*r/_binary64`
26×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`pow-prod-down_binary64` `frac-add_binary64`
14×	`flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip-+_binary64`
13×	`add-log-exp_binary64`
11×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64` `sum-log_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`pow-prod-up_binary64` `pow-plus_binary64` `insert-posit16`
3×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `difference-of-squares_binary64` `pow-sqr_binary64` `associate-+r+_binary64` `pow2_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64`

Counts

4 → 111

Calls

4 calls:

34.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 b b) (.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
12.0ms	(.f64 (.f64 a a) (-.f64 1 a))
11.0ms	(.f64 (.f64 b b) (*.f64 a a))
11.0ms	(.f64 (.f64 b b) (+.f64 3 a))

series336.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

149.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 b b) (.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
70.0ms	(.f64 (.f64 a a) (-.f64 1 a))
59.0ms	(.f64 (.f64 b b) (+.f64 3 a))
57.0ms	(.f64 (.f64 b b) (*.f64 a a))

simplify161.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4936	4589
1	4936	4589

prune275.0ms (3.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	123	3	126

Merged error: 0.0b

Counts

126 → 3

Compiler

Compiled 6371 to 3724 computations (41.5% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (.f64 b b) (+.f64 3 a))
5.2b	(+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6) (pow.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))) 3))
5.4b	(+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4) (.f64 4 (.f64 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))) (-.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))) (pow.f64 (+.f64 (.f64 b b) (*.f64 a a)) 2)))))
43.7b	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6) (pow.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))) 3)) (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4) (.f64 4 (.f64 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))) (-.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))) (pow.f64 (+.f64 (.f64 b b) (*.f64 a a)) 2))))))

rewrite70.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64`
17×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64` `associate-+r+_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `associate--l+_binary64`
6×	`distribute-lft-out_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`sub-neg_binary64` `associate-r_binary64` `associate-/l*_binary64` `insert-posit16`
3×	`pow-prod-down_binary64` `associate-/r*_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`associate-/l/_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `+-commutative_binary64` `sum-log_binary64`
1×	`cbrt-undiv_binary64` `associate-l_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

25.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6) (pow.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))) 3)) (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4) (.f64 4 (.f64 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))) (-.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))) (pow.f64 (+.f64 (.f64 b b) (*.f64 a a)) 2))))))
14.0ms	(+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6) (pow.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))) 3))
14.0ms	(+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4) (.f64 4 (.f64 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))) (-.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))) (pow.f64 (+.f64 (.f64 b b) (*.f64 a a)) 2)))))
11.0ms	(.f64 (.f64 b b) (+.f64 3 a))

series3.9s (53.4%)

Counts

4 → 12

Calls

4 calls:

1.8s	(+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6) (pow.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))) 3))
1.1s	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6) (pow.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))) 3)) (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4) (.f64 4 (.f64 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))) (-.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))) (pow.f64 (+.f64 (.f64 b b) (*.f64 a a)) 2))))))
922.0ms	(+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4) (.f64 4 (.f64 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))) (-.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3)))) (pow.f64 (+.f64 (.f64 b b) (*.f64 a a)) 2)))))
47.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify161.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5041	9567

prune493.0ms (6.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0.0b

Counts

113 → 3

Compiler

Compiled 12093 to 5972 computations (50.6% saved)

regimes87.0ms (1.2%)

Compiler: Compiled 1009 to 613 computations (39.2% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	56	55
1	56	55

end0.0ms (0%)

sample820.0ms (11.3%)

Algorithm

1×

intervals

Results

520.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Compiler

Compiled 220 to 138 computations (37.3% saved)

Details

analyze132.0ms (1.8%)

sample24.0ms (0.3%)

simplify66.0ms (0.9%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite46.0ms (0.6%)

series338.0ms (4.7%)

simplify69.0ms (1%)

prune146.0ms (2%)

localize23.0ms (0.3%)

rewrite74.0ms (1%)

series336.0ms (4.6%)

simplify161.0ms (2.2%)

prune275.0ms (3.8%)

localize32.0ms (0.4%)

rewrite70.0ms (1%)

series3.9s (53.4%)

simplify161.0ms (2.2%)

prune493.0ms (6.8%)

regimes87.0ms (1.2%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample820.0ms (11.3%)

Profiling