Details

analyze1.6s (29.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 16 to 16 computations (0% saved)

sample50.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
9.0ms	177×	body	128	invalid

Compiler

Compiled 31 to 39 computations (-25.8% saved)

simplify172.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	67	22
1	67	22

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 30 to 30 computations (0% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_5278`
10×	`sum-log_binary64_5330`
3×	`add-cbrt-cube_binary64_5275` `add-cube-cbrt_binary64_5274` `flip-+_binary64_5213` `pow1_binary64_5300` `+-commutative_binary64_5169` `add-sqr-sqrt_binary64_5261` `*-un-lft-identity_binary64_5239` `flip3-+_binary64_5242` `add-exp-log_binary64_5277`
2×	`associate-+l+_binary64_5172`

Counts

3 → 38

Calls

3 calls:

10.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
5.0ms	(+.f64 (.f64 x y) (.f64 z t))

series617.0ms (11.3%)

Counts

3 → 9

Calls

3 calls:

421.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
127.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
69.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5206	1004

prune58.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	2	48

Merged error: 0.0b

Counts

48 → 2

Compiler

Compiled 1336 to 386 computations (71.1% saved)

localize16.0ms (0.3%)

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))))
1.6b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.6b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.6b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite37.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5270`
23×	`add-sqr-sqrt_binary64_5261`
18×	`cbrt-div_binary64_5271`
15×	`add-cube-cbrt_binary64_5274` `*-un-lft-identity_binary64_5239`
11×	`pow1_binary64_5300`
9×	`flip-+_binary64_5213` `pow1/3_binary64_5321` `flip3-+_binary64_5242`
6×	`associate-r_binary64_5179` `swap-sqr_binary64_5206` `add-exp-log_binary64_5277` `associate-l_binary64_5180`
4×	`add-cbrt-cube_binary64_5275` `unswap-sqr_binary64_5207` `frac-times_binary64_5249` `add-log-exp_binary64_5278`
2×	`pow-prod-up_binary64_5309` `associate-r/_binary64_5181` `associate-l/_binary64_5182` `pow-prod-down_binary64_5310` `pow-sqr_binary64_5212`
1×	`pow-plus_binary64_5302` `pow2_binary64_5320` `prod-exp_binary64_5288` `*-commutative_binary64_5170` `cbrt-unprod_binary64_5272`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.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 (18.3%)

Counts

4 → 12

Calls

4 calls:

315.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
235.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
230.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
220.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify89.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4913	2175
1	4913	2175

prune117.0ms (2.1%)

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: 0.0b

Counts

101 → 2

Compiler

Compiled 4053 to 743 computations (81.7% saved)

regimes159.0ms (2.9%)

Compiler: Compiled 841 to 773 computations (8.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

end0.0ms (0%)

sample1.4s (25.9%)

Algorithm

1×

intervals

Results

427.0ms	8000×	body	128	valid
278.0ms	5467×	body	128	invalid

Compiler

Compiled 80 to 72 computations (10% saved)

Details

analyze1.6s (29.7%)

sample50.0ms (0.9%)

simplify172.0ms (3.2%)

prune2.0ms (0%)

localize12.0ms (0.2%)

rewrite25.0ms (0.5%)

series617.0ms (11.3%)

simplify65.0ms (1.2%)

prune58.0ms (1.1%)

localize16.0ms (0.3%)

rewrite37.0ms (0.7%)

series1.0s (18.3%)

simplify89.0ms (1.6%)

prune117.0ms (2.1%)

regimes159.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (25.9%)

Profiling