Details

analyze235.0ms (5.1%)

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%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify17.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	180	10
1	180	10

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 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 y 4) z))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 12

Calls

1 calls:

4.0ms

(-.f64 x (*.f64 (*.f64 y 4) z))

series77.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

76.0ms

(-.f64 x (*.f64 (*.f64 y 4) z))

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4989	216
1	4989	216

prune27.0ms (0.6%)

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 354 to 260 computations (26.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z))) (cbrt.f64 (-.f64 x (.f64 (*.f64 y 4) z))))
0.6b	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
0.6b	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
0.6b	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))

rewrite33.0ms (0.7%)

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:

13.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z))) (cbrt.f64 (-.f64 x (.f64 (*.f64 y 4) z))))
3.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
3.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
3.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))

series1.0s (22.6%)

Counts

4 → 12

Calls

4 calls:

298.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z))) (cbrt.f64 (-.f64 x (.f64 (*.f64 y 4) z))))
252.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
246.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
240.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))

simplify87.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4922	2387
1	4922	2387

prune181.0ms (4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0.0b

Counts

102 → 4

Compiler

Compiled 3714 to 2559 computations (31.1% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
0.6b	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
0.6b	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))) 6)

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 63

Calls

4 calls:

7.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))) 6)
6.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
3.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
3.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))

series1.2s (26.5%)

Counts

4 → 12

Calls

4 calls:

472.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))) 6)
250.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
245.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
245.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5019	1487

prune175.0ms (3.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	74	5	79

Merged error: 0.0b

Counts

79 → 5

Compiler

Compiled 3686 to 2617 computations (29% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 y 4) z))
0.0b	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
0.0b	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
0.3b	(.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 x (.f64 (*.f64 y 4) z))))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `rem-sqrt-square_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `cancel-sign-sub-inv_binary64` `prod-exp_binary64` `sqr-abs_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 x (.f64 (*.f64 y 4) z))))
4.0ms	(-.f64 x (.f64 (.f64 y 4) z))
3.0ms	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
3.0ms	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))

series443.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
135.0ms	(sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
89.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 x (.f64 (*.f64 y 4) z))))
71.0ms	(-.f64 x (.f64 (.f64 y 4) z))

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5094	2013

prune139.0ms (3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	112	5	117

Merged error: 0.0b

Counts

117 → 5

Compiler

Compiled 2812 to 1893 computations (32.7% saved)

regimes93.0ms (2%)

Compiler: Compiled 744 to 618 computations (16.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

end0.0ms (0%)

sample516.0ms (11.3%)

Algorithm

1×

intervals

Results

193.0ms	8000×	body	128	valid
7.0ms	297×	body	128	invalid

Compiler

Compiled 133 to 112 computations (15.8% saved)

Details

analyze235.0ms (5.1%)

sample13.0ms (0.3%)

simplify17.0ms (0.4%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite5.0ms (0.1%)

series77.0ms (1.7%)

simplify69.0ms (1.5%)

prune27.0ms (0.6%)

localize10.0ms (0.2%)

rewrite33.0ms (0.7%)

series1.0s (22.6%)

simplify87.0ms (1.9%)

prune181.0ms (4%)

localize17.0ms (0.4%)

rewrite27.0ms (0.6%)

series1.2s (26.5%)

simplify62.0ms (1.3%)

prune175.0ms (3.8%)

localize8.0ms (0.2%)

rewrite33.0ms (0.7%)

series443.0ms (9.7%)

simplify55.0ms (1.2%)

prune139.0ms (3%)

regimes93.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample516.0ms (11.3%)

Profiling