Details

analyze763.0ms (6.6%)

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)

sample26.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms	247×	body	128	valid
2.0ms	55×	body	128	invalid
1.0ms	5×	body	512	valid
0.0ms	3×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify196.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	400	19
1	400	19

prune6.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 56 to 48 computations (14.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite70.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64_3863`
29×	`add-log-exp_binary64_3902`
26×	`distribute-lft-out_binary64_3814`
17×	`sum-log_binary64_3954`
8×	`add-sqr-sqrt_binary64_3885`
7×	`associate-r_binary64_3803`
6×	`add-cube-cbrt_binary64_3898` `pow1_binary64_3924` `add-cbrt-cube_binary64_3899` `add-exp-log_binary64_3901`
4×	`associate-+l+_binary64_3796` `flip3-+_binary64_3866` `flip-+_binary64_3837`
3×	`associate-l_binary64_3804` `+-commutative_binary64_3793`
2×	`distribute-rgt-in_binary64_3813` `distribute-lft-in_binary64_3812` `associate-*r/_binary64_3805`
1×	`prod-exp_binary64_3912` `cbrt-unprod_binary64_3896` `unswap-sqr_binary64_3831` `*-commutative_binary64_3794` `pow-prod-down_binary64_3934`

Counts

4 → 75

Calls

4 calls:

19.0ms	(*.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t))
18.0ms	(+.f64 (.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t)) (.f64 y 5))
16.0ms	(+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t)
11.0ms	(+.f64 (+.f64 (+.f64 y z) z) y)

series302.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

120.0ms	(+.f64 (.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t)) (.f64 y 5))
98.0ms	(*.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t))
45.0ms	(+.f64 (+.f64 (+.f64 y z) z) y)
40.0ms	(+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t)

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4949	1258
1	4949	1258

prune233.0ms (2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	79	8	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	9	88

Merged error: 0.0b

Counts

88 → 9

Compiler

Compiled 4041 to 2676 computations (33.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3894`
23×	`add-sqr-sqrt_binary64_3885`
15×	`add-cube-cbrt_binary64_3898` `*-un-lft-identity_binary64_3863`
11×	`pow1_binary64_3924`
9×	`pow1/3_binary64_3945`
6×	`swap-sqr_binary64_3830` `associate-r_binary64_3803` `associate-l_binary64_3804` `add-exp-log_binary64_3901`
4×	`add-log-exp_binary64_3902` `unswap-sqr_binary64_3831` `add-cbrt-cube_binary64_3899`
2×	`pow-sqr_binary64_3836` `pow-prod-up_binary64_3933` `pow-prod-down_binary64_3934`
1×	`prod-exp_binary64_3912` `cbrt-unprod_binary64_3896` `pow-plus_binary64_3926` `pow2_binary64_3944` `*-commutative_binary64_3794`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series655.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

194.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
159.0ms	(cbrt.f64 x)
155.0ms	(cbrt.f64 x)
147.0ms	(cbrt.f64 x)

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5245	563

prune127.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

Compiler

Compiled 2567 to 1407 computations (45.2% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite80.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3894`
23×	`add-sqr-sqrt_binary64_3885`
18×	`cbrt-div_binary64_3895`
15×	`add-cube-cbrt_binary64_3898` `*-un-lft-identity_binary64_3863`
11×	`pow1_binary64_3924`
9×	`flip3-+_binary64_3866` `pow1/3_binary64_3945` `flip-+_binary64_3837`
6×	`swap-sqr_binary64_3830` `associate-r_binary64_3803` `associate-l_binary64_3804` `add-exp-log_binary64_3901`
4×	`add-log-exp_binary64_3902` `frac-times_binary64_3873` `unswap-sqr_binary64_3831` `add-cbrt-cube_binary64_3899`
2×	`pow-sqr_binary64_3836` `associate-l/_binary64_3806` `pow-prod-up_binary64_3933` `associate-r/_binary64_3805` `pow-prod-down_binary64_3934`
1×	`prod-exp_binary64_3912` `cbrt-unprod_binary64_3896` `pow-plus_binary64_3926` `pow2_binary64_3944` `*-commutative_binary64_3794`

Counts

4 → 87

Calls

4 calls:

30.0ms	(.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))))
12.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
12.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
12.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

series2.8s (24.6%)

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))))
549.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
542.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
527.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

simplify114.0ms (1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4941	3908
1	4941	3908

prune394.0ms (3.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	97	10	107

Merged error: 0.0b

Counts

107 → 10

Compiler

Compiled 7859 to 5128 computations (34.7% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
0.6b	(.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))))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))) 4)

rewrite90.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`cbrt-prod_binary64_3894`
27×	`add-sqr-sqrt_binary64_3885`
19×	`add-cube-cbrt_binary64_3898` `*-un-lft-identity_binary64_3863`
18×	`cbrt-div_binary64_3895`
12×	`pow1_binary64_3924`
9×	`pow1/3_binary64_3945` `unpow-prod-down_binary64_3942`
8×	`flip3-+_binary64_3866` `flip-+_binary64_3837`
7×	`add-exp-log_binary64_3901`
6×	`swap-sqr_binary64_3830` `associate-r_binary64_3803` `associate-l_binary64_3804`
4×	`add-log-exp_binary64_3902` `frac-times_binary64_3873` `unswap-sqr_binary64_3831` `add-cbrt-cube_binary64_3899`
3×	`pow-unpow_binary64_3940`
2×	`pow-sqr_binary64_3836` `associate-l/_binary64_3806` `pow-prod-up_binary64_3933` `associate-r/_binary64_3805` `pow-prod-down_binary64_3934` `pow-pow_binary64_3935`
1×	`prod-exp_binary64_3912` `cbrt-unprod_binary64_3896` `pow-plus_binary64_3926` `pow2_binary64_3944` `pow-exp_binary64_3931` `sqr-pow_binary64_3835` `*-commutative_binary64_3794` `pow-to-exp_binary64_3932`

Counts

4 → 101

Calls

4 calls:

29.0ms	(.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))))
15.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))) 4)
12.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
12.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

series3.7s (31.8%)

Counts

4 → 12

Calls

4 calls:

1.4s	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))) 4)
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))))
526.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
514.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4938	4536
1	4938	4536

prune462.0ms (4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	113	10	123

Merged error: 0.0b

Counts

123 → 10

Compiler

Compiled 8777 to 5634 computations (35.8% saved)

regimes157.0ms (1.4%)

Compiler: Compiled 1928 to 1416 computations (26.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	22
1	20	22

end0.0ms (0%)

sample1.0s (8.7%)

Algorithm

1×

intervals

Results

320.0ms	7726×	body	128	valid
76.0ms	1859×	body	128	invalid
22.0ms	136×	body	1024	valid
11.0ms	100×	body	512	valid
3.0ms	38×	body	256	valid

Compiler

Compiled 409 to 301 computations (26.4% saved)

Details

analyze763.0ms (6.6%)

sample26.0ms (0.2%)

simplify196.0ms (1.7%)

prune6.0ms (0.1%)

localize12.0ms (0.1%)

rewrite70.0ms (0.6%)

series302.0ms (2.6%)

simplify93.0ms (0.8%)

prune233.0ms (2%)

localize15.0ms (0.1%)

rewrite19.0ms (0.2%)

series655.0ms (5.6%)

simplify69.0ms (0.6%)

prune127.0ms (1.1%)

localize18.0ms (0.2%)

rewrite80.0ms (0.7%)

series2.8s (24.6%)

simplify114.0ms (1%)

prune394.0ms (3.4%)

localize26.0ms (0.2%)

rewrite90.0ms (0.8%)

series3.7s (31.8%)

simplify121.0ms (1%)

prune462.0ms (4%)

regimes157.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.0s (8.7%)

Profiling