Details

analyze788.0ms (20.2%)

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)

sample22.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	53×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify392.0ms (10%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (227.0ms)

Iter	Nodes	Cost
0	3674	7
1	3674	7

prune4.0ms (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: 5.2b

Counts

2 → 2

Compiler

Compiled 19 to 20 computations (-5.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_16611`
13×	`associate-r_binary64_16532`
10×	`times-frac_binary64_16596`
9×	`add-cube-cbrt_binary64_16622` `*-un-lft-identity_binary64_16590`
6×	`add-exp-log_binary64_16625` `add-cbrt-cube_binary64_16623`
3×	`pow1_binary64_16648` `associate-l_binary64_16533`
2×	`unswap-sqr_binary64_16558` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636`
1×	`pow-prod-down_binary64_16658` `associate-r/_binary64_16534` `add-log-exp_binary64_16626` `cbrt-undiv_binary64_16621` `div-exp_binary64_16638` `div-inv_binary64_16587` `-commutative_binary64_16523`

Counts

1 → 32

Calls

1 calls:

8.0ms

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

series37.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify86.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5551	348

prune39.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	25	10	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	11	37

Merged error: 0.0b

Counts

37 → 11

Compiler

Compiled 464 to 175 computations (62.3% saved)

localize8.0ms (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)
2.9b	(.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64_16625`
22×	`associate-r_binary64_16532`
20×	`add-cube-cbrt_binary64_16622` `*-un-lft-identity_binary64_16590` `add-sqr-sqrt_binary64_16611`
18×	`times-frac_binary64_16596` `cbrt-prod_binary64_16618` `add-cbrt-cube_binary64_16623`
13×	`pow1_binary64_16648`
12×	`cbrt-unprod_binary64_16620` `prod-exp_binary64_16636`
6×	`pow-prod-down_binary64_16658`
4×	`add-log-exp_binary64_16626`
3×	`pow1/3_binary64_16669` `cbrt-undiv_binary64_16621` `div-exp_binary64_16638`
1×	`associate-r/_binary64_16534` `div-inv_binary64_16587` `associate-l_binary64_16533` `-commutative_binary64_16523`

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)

series549.0ms (14%)

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt.f64 y)
159.0ms	(cbrt.f64 y)
152.0ms	(cbrt.f64 y)
74.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))

simplify95.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4888	888
1	4888	888

prune68.0ms (1.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	92	11	103

Merged error: 0.0b

Counts

103 → 11

Compiler

Compiled 1365 to 448 computations (67.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.5b	(/.f64 (*.f64 x y) z)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_16625` `add-cbrt-cube_binary64_16623`
3×	`times-frac_binary64_16596` `add-cube-cbrt_binary64_16622` `-un-lft-identity_binary64_16590` `associate-/r_binary64_16536` `add-sqr-sqrt_binary64_16611`
2×	`cbrt-undiv_binary64_16621` `div-exp_binary64_16638`
1×	`clear-num_binary64_16589` `add-log-exp_binary64_16626` `frac-2neg_binary64_16601` `associate-/l*_binary64_16537` `pow1_binary64_16648` `div-inv_binary64_16587` `cbrt-unprod_binary64_16620` `prod-exp_binary64_16636`

Counts

1 → 21

Calls

1 calls:

5.0ms

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

series40.0ms (1%)

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify99.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4745	219
1	4745	219

prune20.0ms (0.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	4	4	8
Picked	0	1	1
Done	1	1	2
Total	26	9	35

Merged error: 0.0b

Counts

35 → 9

Compiler

Compiled 278 to 112 computations (59.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b	(/.f64 1 (/.f64 z (*.f64 x y)))
4.4b	(/.f64 z (*.f64 x y))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64_16596`
28×	`add-exp-log_binary64_16625`
20×	`add-cube-cbrt_binary64_16622` `*-un-lft-identity_binary64_16590` `add-sqr-sqrt_binary64_16611`
16×	`add-cbrt-cube_binary64_16623`
14×	`div-exp_binary64_16638`
8×	`associate-/r*_binary64_16536`
7×	`cbrt-undiv_binary64_16621`
6×	`associate-/l*_binary64_16537` `div-inv_binary64_16587`
4×	`prod-exp_binary64_16636`
3×	`pow1_binary64_16648` `1-exp_binary64_16631` `rec-exp_binary64_16637`
2×	`clear-num_binary64_16589` `add-log-exp_binary64_16626` `frac-2neg_binary64_16601` `cbrt-unprod_binary64_16620`
1×	`inv-pow_binary64_16672` `pow-flip_binary64_16661` `associate-/r/_binary64_16538`

Counts

2 → 77

Calls

2 calls:

7.0ms	(/.f64 1 (/.f64 z (*.f64 x y)))
5.0ms	(/.f64 z (*.f64 x y))

series93.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(/.f64 1 (/.f64 z (*.f64 x y)))
42.0ms	(/.f64 z (*.f64 x y))

simplify87.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4955	957
1	4955	957

prune47.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	84	8	92

Merged error: 0b

Counts

92 → 8

Compiler

Compiled 864 to 287 computations (66.8% saved)

regimes317.0ms (8.1%)

Compiler: Compiled 2265 to 1772 computations (21.8% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	84
1	35	84

end0.0ms (0%)

sample1.0s (26.6%)

Algorithm

1×

intervals

Results

290.0ms	8000×	body	128	valid
61.0ms	1601×	body	128	invalid

Compiler

Compiled 433 to 296 computations (31.6% saved)

Details

analyze788.0ms (20.2%)

sample22.0ms (0.6%)

simplify392.0ms (10%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

rewrite10.0ms (0.3%)

series37.0ms (0.9%)

simplify86.0ms (2.2%)

prune39.0ms (1%)

localize8.0ms (0.2%)

rewrite29.0ms (0.7%)

series549.0ms (14%)

simplify95.0ms (2.4%)

prune68.0ms (1.7%)

localize4.0ms (0.1%)

rewrite6.0ms (0.2%)

series40.0ms (1%)

simplify99.0ms (2.5%)

prune20.0ms (0.5%)

localize5.0ms (0.1%)

rewrite17.0ms (0.4%)

series93.0ms (2.4%)

simplify87.0ms (2.2%)

prune47.0ms (1.2%)

regimes317.0ms (8.1%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (26.6%)

Profiling