Details

analyze715.0ms (9.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	249×	body	128	valid
2.0ms	57×	body	128	invalid
1.0ms	4×	body	1024	valid
0.0ms	2×	body	256	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	400	19
1	400	19

prune5.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 54 to 48 computations (11.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
0.0b	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

11.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
11.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

series180.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

105.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
75.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5017	763

prune71.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0.0b

Counts

42 → 3

Compiler

Compiled 1328 to 882 computations (33.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5))
0.0b	(.f64 x (.f64 (+.f64 y z) 2))
0.0b	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))

rewrite37.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sum-log_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `flip-+_binary64`
2×	`associate-r/_binary64` `+-commutative_binary64` `associate-l/_binary64`
1×	`distribute-lft-out_binary64` `associate-r_binary64` `associate-+l+_binary64` `*-commutative_binary64`

Counts

3 → 45

Calls

3 calls:

13.0ms	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5))
11.0ms	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
8.0ms	(.f64 x (.f64 (+.f64 y z) 2))

series240.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

98.0ms	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5))
77.0ms	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
65.0ms	(.f64 x (.f64 (+.f64 y z) 2))

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4978	933
1	4978	933

prune49.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	54	3	57

Merged error: 0.0b

Counts

57 → 3

Compiler

Compiled 1084 to 593 computations (45.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))
0.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))

rewrite80.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
23×	`pow1_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-div_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `associate-r_binary64` `associate-l_binary64` `flip-+_binary64`
8×	`swap-sqr_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-up_binary64` `unswap-sqr_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-*r/_binary64` `rem-sqrt-square_binary64` `frac-times_binary64`
3×	`pow-sqr_binary64`
2×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `sqr-abs_binary64` `pow2_binary64`

Counts

4 → 110

Calls

4 calls:

27.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
15.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))
11.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
11.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

series1.5s (19.3%)

Counts

4 → 12

Calls

4 calls:

664.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
649.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
110.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
83.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5099	3314

prune221.0ms (2.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	6	125

Merged error: 0.0b

Counts

125 → 6

Compiler

Compiled 5058 to 3181 computations (37.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

rewrite82.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

31.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

series2.7s (34.4%)

Counts

4 → 12

Calls

4 calls:

1.2s	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
508.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
499.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
494.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

simplify111.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4954	3908
1	4954	3908

prune452.0ms (5.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	97	8	105

Merged error: 0.0b

Counts

105 → 8

Compiler

Compiled 9352 to 6058 computations (35.2% saved)

regimes114.0ms (1.5%)

Compiler: Compiled 1496 to 1100 computations (26.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19

end0.0ms (0%)

sample967.0ms (12.4%)

Algorithm

1×

intervals

Results

312.0ms	7736×	body	128	valid
75.0ms	1877×	body	128	invalid
16.0ms	115×	body	1024	valid
10.0ms	91×	body	512	valid
7.0ms	58×	body	256	valid

Compiler

Compiled 401 to 296 computations (26.2% saved)

Details

analyze715.0ms (9.1%)

sample23.0ms (0.3%)

simplify19.0ms (0.2%)

prune5.0ms (0.1%)

localize9.0ms (0.1%)

rewrite25.0ms (0.3%)

series180.0ms (2.3%)

simplify60.0ms (0.8%)

prune71.0ms (0.9%)

localize11.0ms (0.1%)

rewrite37.0ms (0.5%)

series240.0ms (3.1%)

simplify51.0ms (0.7%)

prune49.0ms (0.6%)

localize12.0ms (0.2%)

rewrite80.0ms (1%)

series1.5s (19.3%)

simplify72.0ms (0.9%)

prune221.0ms (2.8%)

localize19.0ms (0.2%)

rewrite82.0ms (1%)

series2.7s (34.4%)

simplify111.0ms (1.4%)

prune452.0ms (5.8%)

regimes114.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample967.0ms (12.4%)

Profiling