Details

analyze233.0ms (9.7%)

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)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify172.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	180	10
1	180	10

prune2.0ms (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)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_8374`
1×	`*-un-lft-identity_binary64_8335` `diff-log_binary64_8427` `add-sqr-sqrt_binary64_8357` `pow1_binary64_8396` `flip--_binary64_8310` `flip3--_binary64_8339` `sub-neg_binary64_8328` `add-exp-log_binary64_8373` `cancel-sign-sub-inv_binary64_8301` `add-cube-cbrt_binary64_8370` `add-cbrt-cube_binary64_8371`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series81.0ms (3.4%)

Counts

1 → 3

Calls

1 calls:

81.0ms

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

simplify60.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5185	216

prune17.0ms (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)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(.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)))

rewrite31.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_8366`
23×	`add-sqr-sqrt_binary64_8357`
18×	`cbrt-div_binary64_8367`
15×	`*-un-lft-identity_binary64_8335` `add-cube-cbrt_binary64_8370`
11×	`pow1_binary64_8396`
9×	`flip--_binary64_8310` `flip3--_binary64_8339` `pow1/3_binary64_8417`
6×	`associate-r_binary64_8275` `add-exp-log_binary64_8373` `swap-sqr_binary64_8302` `associate-l_binary64_8276`
4×	`unswap-sqr_binary64_8303` `frac-times_binary64_8345` `add-cbrt-cube_binary64_8371` `add-log-exp_binary64_8374`
2×	`pow-prod-down_binary64_8406` `associate-r/_binary64_8277` `associate-l/_binary64_8278` `pow-sqr_binary64_8308` `pow-prod-up_binary64_8405`
1×	`cbrt-unprod_binary64_8368` `pow-plus_binary64_8398` `*-commutative_binary64_8266` `pow2_binary64_8416` `prod-exp_binary64_8384`

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)))

series1.0s (42.6%)

Counts

4 → 12

Calls

4 calls:

294.0ms	(.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)))
244.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))
237.0ms	(cbrt.f64 (-.f64 x (.f64 (.f64 y 4) z)))

simplify79.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4914	2387
1	4914	2387

prune154.0ms (6.4%)

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)

regimes54.0ms (2.2%)

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

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

end0.0ms (0%)

sample459.0ms (19.1%)

Algorithm

1×

intervals

Results

207.0ms	8000×	body	128	valid
8.0ms	309×	body	128	invalid

Compiler

Compiled 48 to 45 computations (6.3% saved)

Details

analyze233.0ms (9.7%)

sample14.0ms (0.6%)

simplify172.0ms (7.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite5.0ms (0.2%)

series81.0ms (3.4%)

simplify60.0ms (2.5%)

prune17.0ms (0.7%)

localize9.0ms (0.4%)

rewrite31.0ms (1.3%)

series1.0s (42.6%)

simplify79.0ms (3.3%)

prune154.0ms (6.4%)

regimes54.0ms (2.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample459.0ms (19.1%)

Profiling