Details

analyze1.1s (15.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

Compiler

Compiled 12 to 12 computations (0% saved)

sample29.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
5.0ms	140×	body	128	invalid

Compiler

Compiled 23 to 29 computations (-26.1% saved)

simplify177.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

prune2.0ms (0%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_3558`
4×	`sum-log_binary64_3610`
2×	`add-cbrt-cube_binary64_3555` `flip-+_binary64_3493` `+-commutative_binary64_3449` `add-exp-log_binary64_3557` `flip3-+_binary64_3522` `*-un-lft-identity_binary64_3519` `add-sqr-sqrt_binary64_3541` `add-cube-cbrt_binary64_3554` `pow1_binary64_3580`
1×	`associate-+l+_binary64_3452`

Counts

2 → 24

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

series210.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

140.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
70.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4961	546
1	4961	546

prune49.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	26	4	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	5	31

Merged error: 0.0b

Counts

31 → 5

Compiler

Compiled 1066 to 402 computations (62.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite37.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3550`
23×	`add-sqr-sqrt_binary64_3541`
18×	`cbrt-div_binary64_3551`
15×	`*-un-lft-identity_binary64_3519` `add-cube-cbrt_binary64_3554`
11×	`pow1_binary64_3580`
9×	`flip-+_binary64_3493` `flip3-+_binary64_3522` `pow1/3_binary64_3601`
6×	`add-exp-log_binary64_3557` `associate-r_binary64_3459` `associate-l_binary64_3460` `swap-sqr_binary64_3486`
4×	`add-cbrt-cube_binary64_3555` `add-log-exp_binary64_3558` `frac-times_binary64_3529` `unswap-sqr_binary64_3487`
2×	`pow-prod-up_binary64_3589` `associate-l/_binary64_3462` `pow-prod-down_binary64_3590` `associate-r/_binary64_3461` `pow-sqr_binary64_3492`
1×	`pow-plus_binary64_3582` `prod-exp_binary64_3568` `cbrt-unprod_binary64_3552` `*-commutative_binary64_3450` `pow2_binary64_3600`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series1.0s (14.3%)

Counts

4 → 12

Calls

4 calls:

321.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
242.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
236.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
232.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4913	2175
1	4913	2175

prune167.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0b

Counts

104 → 7

Compiler

Compiled 4845 to 1234 computations (74.5% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.3b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_3550`
8×	`*-un-lft-identity_binary64_3519` `add-sqr-sqrt_binary64_3541` `add-cube-cbrt_binary64_3554` `cbrt-div_binary64_3551`
4×	`add-cbrt-cube_binary64_3555` `flip-+_binary64_3493` `add-exp-log_binary64_3557` `add-log-exp_binary64_3558` `flip3-+_binary64_3522` `pow1/3_binary64_3601` `pow1_binary64_3580`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series927.0ms (12.9%)

Counts

4 → 12

Calls

4 calls:

240.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
238.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
227.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
223.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4967	1236
1	4967	1236

prune97.0ms (1.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	64	7	71

Merged error: 0b

Counts

71 → 7

Compiler

Compiled 3349 to 594 computations (82.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite54.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3550`
23×	`add-sqr-sqrt_binary64_3541`
18×	`cbrt-div_binary64_3551`
15×	`*-un-lft-identity_binary64_3519` `add-cube-cbrt_binary64_3554`
11×	`pow1_binary64_3580`
9×	`flip-+_binary64_3493` `flip3-+_binary64_3522` `pow1/3_binary64_3601`
6×	`add-exp-log_binary64_3557` `associate-r_binary64_3459` `associate-l_binary64_3460` `swap-sqr_binary64_3486`
4×	`add-cbrt-cube_binary64_3555` `add-log-exp_binary64_3558` `frac-times_binary64_3529` `unswap-sqr_binary64_3487`
2×	`pow-prod-up_binary64_3589` `associate-l/_binary64_3462` `pow-prod-down_binary64_3590` `associate-r/_binary64_3461` `pow-sqr_binary64_3492`
1×	`pow-plus_binary64_3582` `prod-exp_binary64_3568` `cbrt-unprod_binary64_3552` `*-commutative_binary64_3450` `pow2_binary64_3600`

Counts

4 → 87

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
7.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

series1.5s (21.2%)

Counts

4 → 12

Calls

4 calls:

592.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
316.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
312.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
307.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

simplify118.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5096	3006

prune124.0ms (1.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	99	7	106

Merged error: 0b

Counts

106 → 7

Compiler

Compiled 4747 to 604 computations (87.3% saved)

regimes214.0ms (3%)

Compiler: Compiled 2585 to 1386 computations (46.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

end0.0ms (0%)

sample991.0ms (13.8%)

Algorithm

1×

intervals

Results

287.0ms	8000×	body	128	valid
146.0ms	3883×	body	128	invalid

Compiler

Compiled 252 to 141 computations (44% saved)

Details

analyze1.1s (15.8%)

sample29.0ms (0.4%)

simplify177.0ms (2.5%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite13.0ms (0.2%)

series210.0ms (2.9%)

simplify65.0ms (0.9%)

prune49.0ms (0.7%)

localize13.0ms (0.2%)

rewrite37.0ms (0.5%)

series1.0s (14.3%)

simplify88.0ms (1.2%)

prune167.0ms (2.3%)

localize20.0ms (0.3%)

rewrite24.0ms (0.3%)

series927.0ms (12.9%)

simplify68.0ms (0.9%)

prune97.0ms (1.3%)

localize14.0ms (0.2%)

rewrite54.0ms (0.7%)

series1.5s (21.2%)

simplify118.0ms (1.6%)

prune124.0ms (1.7%)

regimes214.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample991.0ms (13.8%)

Profiling