Details

analyze1.2s (25.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
5.8%	94%	0.2%	9
7.6%	92.2%	0.2%	10
11.6%	88.2%	0.2%	11
18.5%	81.3%	0.2%	12
32.3%	66.9%	0.8%	13
37%	62.2%	0.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	48×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify347.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (230.0ms)

Iter	Nodes	Cost
0	4367	7
1	4367	7

prune6.0ms (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

Error

5.4b

Counts

2 → 2

Compiler

Compiled 19 to 20 computations (-5.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.2b	(*.f64 x (/.f64 y z))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_11012`
13×	`associate-r_binary64_10930`
10×	`times-frac_binary64_10996`
9×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
6×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
3×	`pow1_binary64_11051` `associate-l_binary64_10931`
2×	`prod-exp_binary64_11039` `unswap-sqr_binary64_10958` `cbrt-unprod_binary64_11023`
1×	`associate-r/_binary64_10932` `add-log-exp_binary64_11029` `div-exp_binary64_11041` `div-inv_binary64_10987` `-commutative_binary64_10921` `cbrt-undiv_binary64_11024` `pow-prod-down_binary64_11061`

Counts

1 → 32

Calls

1 calls:

14.0ms

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

series34.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify114.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4985	348
1	4985	348

prune40.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	27	8	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	28	9	37

Error

0.0b

Counts

37 → 9

Compiler

Compiled 433 to 155 computations (64.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
2.6b	(.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64_11028`
22×	`associate-r_binary64_10930`
20×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990` `add-sqr-sqrt_binary64_11012`
18×	`times-frac_binary64_10996` `add-cbrt-cube_binary64_11026` `cbrt-prod_binary64_11021`
13×	`pow1_binary64_11051`
12×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023`
6×	`pow-prod-down_binary64_11061`
4×	`add-log-exp_binary64_11029`
3×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `pow1/3_binary64_11072`
1×	`associate-r/_binary64_10932` `div-inv_binary64_10987` `associate-l_binary64_10931` `-commutative_binary64_10921`

Counts

4 → 80

Calls

4 calls:

15.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series388.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt.f64 y)
111.0ms	(cbrt.f64 y)
98.0ms	(cbrt.f64 y)
51.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))

simplify141.0ms (3%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4926	888
1	4926	888

prune92.0ms (2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	91	10	101

Error

0.0b

Counts

101 → 10

Compiler

Compiled 1351 to 440 computations (67.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.0b	(/.f64 (*.f64 x y) z)

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
3×	`times-frac_binary64_10996` `add-cube-cbrt_binary64_11025` `associate-/r_binary64_10934` `-un-lft-identity_binary64_10990` `add-sqr-sqrt_binary64_11012`
2×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
1×	`prod-exp_binary64_11039` `pow1_binary64_11051` `add-log-exp_binary64_11029` `clear-num_binary64_10989` `associate-/l*_binary64_10935` `cbrt-unprod_binary64_11023` `frac-2neg_binary64_11001` `div-inv_binary64_10987`

Counts

1 → 21

Calls

1 calls:

4.0ms

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

series28.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify142.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4671	219
1	4671	219

prune30.0ms (0.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	5	2	7
Picked	0	1	1
Done	0	2	2
Total	26	8	34

Error

0.0b

Counts

34 → 8

Compiler

Compiled 240 to 93 computations (61.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.1b	(.f64 (.f64 x y) (/.f64 1 z))

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64_11028`
13×	`associate-r_binary64_10930` `add-cbrt-cube_binary64_11026`
12×	`prod-exp_binary64_11039`
9×	`times-frac_binary64_10996`
8×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990` `add-sqr-sqrt_binary64_11012`
6×	`pow1_binary64_11051` `cbrt-unprod_binary64_11023`
4×	`div-exp_binary64_11041`
3×	`pow-prod-down_binary64_11061`
2×	`1-exp_binary64_11034` `rec-exp_binary64_11040` `cbrt-undiv_binary64_11024`
1×	`associate-r/_binary64_10932` `add-log-exp_binary64_11029` `div-inv_binary64_10987` `un-div-inv_binary64_10988` `associate-l_binary64_10931` `-commutative_binary64_10921`

Counts

1 → 38

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x y) (/.f64 1 z))

series27.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

27.0ms

(*.f64 (*.f64 x y) (/.f64 1 z))

simplify95.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4964	381
1	4964	381

prune28.0ms (0.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	41	8	49

Error

0.0b

Counts

49 → 8

Compiler

Compiled 377 to 133 computations (64.7% saved)

regimes485.0ms (10.5%)

Accuracy

Total 0.3b remaining (97.3%)

Threshold costs 0.3b (97.3%)

Compiler

Compiled 1940 to 1472 computations (24.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	62
1	37	62

end0.0ms (0%)

sample1.4s (29.2%)

Algorithm

1×

intervals

Results

422.0ms	8000×	body	128	valid
83.0ms	1511×	body	128	invalid

Compiler

Compiled 372 to 249 computations (33.1% saved)

Details

analyze1.2s (25.1%)

sample21.0ms (0.5%)

simplify347.0ms (7.5%)

prune6.0ms (0.1%)

localize8.0ms (0.2%)

rewrite18.0ms (0.4%)

series34.0ms (0.7%)

simplify114.0ms (2.5%)

prune40.0ms (0.9%)

localize10.0ms (0.2%)

rewrite26.0ms (0.6%)

series388.0ms (8.4%)

simplify141.0ms (3%)

prune92.0ms (2%)

localize5.0ms (0.1%)

rewrite6.0ms (0.1%)

series28.0ms (0.6%)

simplify142.0ms (3.1%)

prune30.0ms (0.7%)

localize5.0ms (0.1%)

rewrite11.0ms (0.2%)

series27.0ms (0.6%)

simplify95.0ms (2.1%)

prune28.0ms (0.6%)

regimes485.0ms (10.5%)

bsearch2.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.4s (29.2%)

Profiling