Details

analyze209.0ms (4.4%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39.8%	5.6%	10
58.5%	35.5%	6%	11
67.3%	26.5%	6.2%	12
71.7%	19.1%	9.2%	13
74.1%	16.6%	9.4%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify172.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	84	7
1	84	7

prune3.0ms (0.1%)

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 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_17662`
1×	`add-cbrt-cube_binary64_17659` `diff-log_binary64_17715` `add-cube-cbrt_binary64_17658` `*-un-lft-identity_binary64_17623` `flip3--_binary64_17627` `sub-neg_binary64_17616` `add-exp-log_binary64_17661` `add-sqr-sqrt_binary64_17645` `flip--_binary64_17598` `pow1_binary64_17684` `cancel-sign-sub-inv_binary64_17589`

Counts

1 → 12

Calls

1 calls:

8.0ms

(-.f64 x (*.f64 y z))

series56.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

56.0ms

(-.f64 x (*.f64 y z))

simplify101.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4883	166
1	4883	166

prune17.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

Compiler

Compiled 247 to 111 computations (55.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (*.f64 y z))))
0.6b	(cbrt.f64 (-.f64 x (*.f64 y z)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 y z)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 y z)))

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_17654`
23×	`add-sqr-sqrt_binary64_17645`
18×	`cbrt-div_binary64_17655`
15×	`add-cube-cbrt_binary64_17658` `*-un-lft-identity_binary64_17623`
11×	`pow1_binary64_17684`
9×	`flip3--_binary64_17627` `flip--_binary64_17598` `pow1/3_binary64_17705`
6×	`swap-sqr_binary64_17590` `associate-l_binary64_17564` `associate-r_binary64_17563` `add-exp-log_binary64_17661`
4×	`add-cbrt-cube_binary64_17659` `frac-times_binary64_17633` `unswap-sqr_binary64_17591` `add-log-exp_binary64_17662`
2×	`associate-l/_binary64_17566` `associate-r/_binary64_17565` `pow-prod-down_binary64_17694` `pow-sqr_binary64_17596` `pow-prod-up_binary64_17693`
1×	`*-commutative_binary64_17554` `prod-exp_binary64_17672` `pow2_binary64_17704` `cbrt-unprod_binary64_17656` `pow-plus_binary64_17686`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (*.f64 y z))))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))

series947.0ms (19.7%)

Counts

4 → 12

Calls

4 calls:

277.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (*.f64 y z))))
232.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
221.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
217.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5030	1878

prune121.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	98	4	102

Merged error: 0b

Counts

102 → 4

Compiler

Compiled 3079 to 799 computations (74.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 x (*.f64 y z)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 y z)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 y z)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 y z)))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_17654`
8×	`add-cube-cbrt_binary64_17658` `*-un-lft-identity_binary64_17623` `cbrt-div_binary64_17655` `add-sqr-sqrt_binary64_17645`
4×	`add-cbrt-cube_binary64_17659` `flip3--_binary64_17627` `add-exp-log_binary64_17661` `flip--_binary64_17598` `add-log-exp_binary64_17662` `pow1_binary64_17684` `pow1/3_binary64_17705`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))

series898.0ms (18.7%)

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
232.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
222.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
212.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4918	1092
1	4918	1092

prune81.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	64	4	68

Merged error: 0b

Counts

68 → 4

Compiler

Compiled 2474 to 624 computations (74.8% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 x (*.f64 y z)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 y z)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 y z)))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 y z)))) 4)

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_17654`
11×	`add-cube-cbrt_binary64_17658` `*-un-lft-identity_binary64_17623` `add-sqr-sqrt_binary64_17645`
9×	`unpow-prod-down_binary64_17702`
6×	`cbrt-div_binary64_17655`
5×	`add-exp-log_binary64_17661` `pow1_binary64_17684`
4×	`add-cbrt-cube_binary64_17659` `add-log-exp_binary64_17662` `pow1/3_binary64_17705`
3×	`flip3--_binary64_17627` `pow-unpow_binary64_17700` `flip--_binary64_17598`
2×	`pow-pow_binary64_17695`
1×	`sqr-pow_binary64_17595` `pow-to-exp_binary64_17692` `pow-exp_binary64_17691`

Counts

4 → 63

Calls

4 calls:

6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 y z)))) 4)
3.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))

series1.2s (25.5%)

Counts

4 → 12

Calls

4 calls:

546.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 y z)))) 4)
238.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
220.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
219.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))

simplify81.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4897	1324
1	4897	1324

prune90.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	75	4	79

Merged error: 0b

Counts

79 → 4

Compiler

Compiled 2434 to 758 computations (68.9% saved)

regimes61.0ms (1.3%)

Compiler: Compiled 372 to 231 computations (37.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	7
1	33	7

end0.0ms (0%)

sample457.0ms (9.5%)

Algorithm

1×

intervals

Results

164.0ms	8000×	body	128	valid
6.0ms	299×	body	128	invalid

Compiler

Compiled 98 to 61 computations (37.8% saved)

Details

analyze209.0ms (4.4%)

sample13.0ms (0.3%)

simplify172.0ms (3.6%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite9.0ms (0.2%)

series56.0ms (1.2%)

simplify101.0ms (2.1%)

prune17.0ms (0.3%)

localize8.0ms (0.2%)

rewrite31.0ms (0.6%)

series947.0ms (19.7%)

simplify74.0ms (1.5%)

prune121.0ms (2.5%)

localize14.0ms (0.3%)

rewrite18.0ms (0.4%)

series898.0ms (18.7%)

simplify75.0ms (1.6%)

prune81.0ms (1.7%)

localize13.0ms (0.3%)

rewrite20.0ms (0.4%)

series1.2s (25.5%)

simplify81.0ms (1.7%)

prune90.0ms (1.9%)

regimes61.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample457.0ms (9.5%)

Profiling