Details

analyze1.2s (16.2%)

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)

sample31.0ms (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)

simplify175.0ms (2.4%)

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)

localize9.0ms (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))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_3146`
4×	`sum-log_binary64_3198`
2×	`+-commutative_binary64_3042` `add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110` `add-exp-log_binary64_3145` `pow1_binary64_3168` `flip3-+_binary64_3113` `add-cbrt-cube_binary64_3143` `flip-+_binary64_3084` `add-sqr-sqrt_binary64_3131`
1×	`associate-+l+_binary64_3045`

Counts

2 → 24

Calls

2 calls:

8.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
5.0ms	(+.f64 (.f64 x y) (.f64 z t))

series214.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

140.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
74.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4980	546
1	4980	546

prune30.0ms (0.4%)

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 624 to 144 computations (76.9% 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)))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3138`
23×	`add-sqr-sqrt_binary64_3131`
18×	`cbrt-div_binary64_3139`
15×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110`
11×	`pow1_binary64_3168`
9×	`flip3-+_binary64_3113` `pow1/3_binary64_3189` `flip-+_binary64_3084`
6×	`add-exp-log_binary64_3145` `swap-sqr_binary64_3077` `associate-l_binary64_3053` `associate-r_binary64_3052`
4×	`frac-times_binary64_3120` `add-log-exp_binary64_3146` `unswap-sqr_binary64_3078` `add-cbrt-cube_binary64_3143`
2×	`pow-prod-down_binary64_3178` `pow-sqr_binary64_3083` `associate-r/_binary64_3054` `associate-l/_binary64_3055` `pow-prod-up_binary64_3177`
1×	`pow2_binary64_3188` `prod-exp_binary64_3156` `cbrt-unprod_binary64_3140` `*-commutative_binary64_3043` `pow-plus_binary64_3170`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.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%)

Counts

4 → 12

Calls

4 calls:

308.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
246.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
246.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
237.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5055	2183

prune118.0ms (1.6%)

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 3777 to 710 computations (81.2% saved)

localize21.0ms (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_3138`
8×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110` `cbrt-div_binary64_3139` `add-sqr-sqrt_binary64_3131`
4×	`add-exp-log_binary64_3145` `pow1_binary64_3168` `add-log-exp_binary64_3146` `flip3-+_binary64_3113` `pow1/3_binary64_3189` `add-cbrt-cube_binary64_3143` `flip-+_binary64_3084`

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)))

series950.0ms (12.8%)

Counts

4 → 12

Calls

4 calls:

240.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
237.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
236.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
236.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify102.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4893	1236
1	4893	1236

prune98.0ms (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)

localize13.0ms (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))))

rewrite52.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3138`
23×	`add-sqr-sqrt_binary64_3131`
18×	`cbrt-div_binary64_3139`
15×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110`
11×	`pow1_binary64_3168`
9×	`flip3-+_binary64_3113` `pow1/3_binary64_3189` `flip-+_binary64_3084`
6×	`add-exp-log_binary64_3145` `swap-sqr_binary64_3077` `associate-l_binary64_3053` `associate-r_binary64_3052`
4×	`frac-times_binary64_3120` `add-log-exp_binary64_3146` `unswap-sqr_binary64_3078` `add-cbrt-cube_binary64_3143`
2×	`pow-prod-down_binary64_3178` `pow-sqr_binary64_3083` `associate-r/_binary64_3054` `associate-l/_binary64_3055` `pow-prod-up_binary64_3177`
1×	`pow2_binary64_3188` `prod-exp_binary64_3156` `cbrt-unprod_binary64_3140` `*-commutative_binary64_3043` `pow-plus_binary64_3170`

Counts

4 → 87

Calls

4 calls:

19.0ms	(.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)))))
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))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

series1.5s (20.5%)

Counts

4 → 12

Calls

4 calls:

599.0ms	(.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)))))
313.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
305.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
303.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5218	3217

prune115.0ms (1.5%)

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 4626 to 446 computations (90.4% saved)

regimes316.0ms (4.3%)

Compiler: Compiled 3806 to 2167 computations (43.1% 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%)

sample1.2s (15.5%)

Algorithm

1×

intervals

Results

303.0ms	8000×	body	128	valid
147.0ms	3883×	body	128	invalid

Compiler

Compiled 363 to 212 computations (41.6% saved)

Details

analyze1.2s (16.2%)

sample31.0ms (0.4%)

simplify175.0ms (2.4%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite14.0ms (0.2%)

series214.0ms (2.9%)

simplify48.0ms (0.6%)

prune30.0ms (0.4%)

localize13.0ms (0.2%)

rewrite36.0ms (0.5%)

series1.0s (14%)

simplify64.0ms (0.9%)

prune118.0ms (1.6%)

localize21.0ms (0.3%)

rewrite24.0ms (0.3%)

series950.0ms (12.8%)

simplify102.0ms (1.4%)

prune98.0ms (1.3%)

localize13.0ms (0.2%)

rewrite52.0ms (0.7%)

series1.5s (20.5%)

simplify61.0ms (0.8%)

prune115.0ms (1.5%)

regimes316.0ms (4.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (15.5%)

Profiling