Details

analyze243.0ms (9.5%)

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)

sample18.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify181.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_7342`
1×	`add-cube-cbrt_binary64_7338` `flip3--_binary64_7307` `add-sqr-sqrt_binary64_7325` `diff-log_binary64_7395` `sub-neg_binary64_7296` `add-exp-log_binary64_7341` `flip--_binary64_7278` `add-cbrt-cube_binary64_7339` `pow1_binary64_7364` `cancel-sign-sub-inv_binary64_7269` `*-un-lft-identity_binary64_7303`

Counts

1 → 12

Calls

1 calls:

5.0ms

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

series81.0ms (3.2%)

Counts

1 → 3

Calls

1 calls:

81.0ms

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

simplify73.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5185	216

prune19.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0b

Counts

16 → 2

Compiler

Compiled 270 to 191 computations (29.3% saved)

localize10.0ms (0.4%)

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

rewrite35.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_7334`
23×	`add-sqr-sqrt_binary64_7325`
18×	`cbrt-div_binary64_7335`
15×	`add-cube-cbrt_binary64_7338` `*-un-lft-identity_binary64_7303`
11×	`pow1_binary64_7364`
9×	`flip3--_binary64_7307` `flip--_binary64_7278` `pow1/3_binary64_7385`
6×	`add-exp-log_binary64_7341` `swap-sqr_binary64_7270` `associate-l_binary64_7244` `associate-r_binary64_7243`
4×	`frac-times_binary64_7313` `add-cbrt-cube_binary64_7339` `unswap-sqr_binary64_7271` `add-log-exp_binary64_7342`
2×	`pow-prod-down_binary64_7374` `associate-r/_binary64_7245` `pow-sqr_binary64_7276` `associate-l/_binary64_7246` `pow-prod-up_binary64_7373`
1×	`pow-plus_binary64_7366` `*-commutative_binary64_7234` `cbrt-unprod_binary64_7336` `pow2_binary64_7384` `prod-exp_binary64_7352`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.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)))

series1.1s (41.5%)

Counts

4 → 12

Calls

4 calls:

311.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z))) (cbrt.f64 (-.f64 x (.f64 (*.f64 y 4) z))))
249.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
249.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
247.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))

simplify96.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4914	2387
1	4914	2387

prune167.0ms (6.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	99	2	101

Merged error: 0b

Counts

101 → 2

Compiler

Compiled 3366 to 2286 computations (32.1% saved)

regimes63.0ms (2.5%)

Compiler: Compiled 234 to 216 computations (7.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

end0.0ms (0%)

sample485.0ms (19%)

Algorithm

1×

intervals

Results

212.0ms	8000×	body	128	valid
7.0ms	286×	body	128	invalid

Compiler

Compiled 48 to 45 computations (6.3% saved)

Details

analyze243.0ms (9.5%)

sample18.0ms (0.7%)

simplify181.0ms (7.1%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite6.0ms (0.2%)

series81.0ms (3.2%)

simplify73.0ms (2.9%)

prune19.0ms (0.7%)

localize10.0ms (0.4%)

rewrite35.0ms (1.4%)

series1.1s (41.5%)

simplify96.0ms (3.8%)

prune167.0ms (6.6%)

regimes63.0ms (2.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample485.0ms (19%)

Profiling