Details

analyze759.0ms (17.8%)

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 (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	61×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify273.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (174.0ms)

Iter	Nodes	Cost
0	4367	7
1	4367	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: 4.2b

Counts

2 → 2

Compiler

Compiled 19 to 20 computations (-5.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.1b	(*.f64 x (/.f64 y z))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_14422`
13×	`associate-r_binary64_14340`
10×	`times-frac_binary64_14406`
9×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
6×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
3×	`pow1_binary64_14461` `associate-l_binary64_14341`
2×	`cbrt-unprod_binary64_14433` `prod-exp_binary64_14449` `unswap-sqr_binary64_14368`
1×	`pow-prod-down_binary64_14471` `cbrt-undiv_binary64_14434` `div-exp_binary64_14451` `div-inv_binary64_14397` `associate-r/_binary64_14342` `add-log-exp_binary64_14439` `-commutative_binary64_14331`

Counts

1 → 32

Calls

1 calls:

7.0ms

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

series19.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify91.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4985	348
1	4985	348

prune40.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	26	9	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	27	10	37

Merged error: 0.0b

Counts

37 → 10

Compiler

Compiled 448 to 166 computations (62.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.8b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 y z) (cbrt.f64 x)))
2.5b	(*.f64 (/.f64 y z) (cbrt.f64 x))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-exp-log_binary64_14438`
25×	`add-sqr-sqrt_binary64_14422`
18×	`pow1_binary64_14461` `add-cbrt-cube_binary64_14436`
15×	`cbrt-unprod_binary64_14433` `prod-exp_binary64_14449` `add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
14×	`associate-l_binary64_14341`
11×	`cbrt-prod_binary64_14431` `times-frac_binary64_14406`
9×	`pow-prod-down_binary64_14471`
7×	`associate-r_binary64_14340`
4×	`add-log-exp_binary64_14439` `unswap-sqr_binary64_14368`
3×	`cbrt-undiv_binary64_14434` `div-exp_binary64_14451`
2×	`associate-l/_binary64_14343` `pow1/3_binary64_14482` `-commutative_binary64_14331`
1×	`div-inv_binary64_14397` `associate-*r/_binary64_14342`

Counts

4 → 86

Calls

4 calls:

11.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 y z) (cbrt.f64 x)))
8.0ms	(*.f64 (/.f64 y z) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series280.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt.f64 x)
81.0ms	(cbrt.f64 x)
66.0ms	(*.f64 (/.f64 y z) (cbrt.f64 x))
48.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 y z) (cbrt.f64 x)))

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4931	931
1	4931	931

prune68.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	98	10	108

Merged error: 0.0b

Counts

108 → 10

Compiler

Compiled 1493 to 396 computations (73.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.8b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) 1) (*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 y) z))))
1.9b	(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 y) z))

rewrite55.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

173×	`add-exp-log_binary64_14438`
112×	`prod-exp_binary64_14449`
68×	`cbrt-unprod_binary64_14433`
60×	`add-cbrt-cube_binary64_14436`
37×	`add-sqr-sqrt_binary64_14422`
35×	`div-exp_binary64_14451`
27×	`pow1_binary64_14461`
23×	`cbrt-prod_binary64_14431` `associate-r_binary64_14340`
22×	`times-frac_binary64_14406`
21×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
19×	`cbrt-undiv_binary64_14434`
16×	`pow-prod-down_binary64_14471`
12×	`1-exp_binary64_14444`
7×	`associate-r/_binary64_14342` `associate-l*_binary64_14341`
6×	`unswap-sqr_binary64_14368`
4×	`add-log-exp_binary64_14439`
2×	`pow1/3_binary64_14482` `*-commutative_binary64_14331`
1×	`associate-*l/_binary64_14343` `frac-times_binary64_14410` `div-inv_binary64_14397`

Counts

4 → 141

Calls

4 calls:

20.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) 1) (*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 y) z))))
11.0ms	(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 y) z))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series333.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

120.0ms	(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 y) z))
79.0ms	(cbrt.f64 x)
75.0ms	(cbrt.f64 x)
58.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) 1) (*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 y) z))))

simplify132.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4934	1628
1	4934	1628

prune116.0ms (2.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	154	9	163

Merged error: 0.0b

Counts

163 → 9

Compiler

Compiled 2790 to 779 computations (72.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.8b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 y (cbrt.f64 x)) z))
1.9b	(/.f64 (*.f64 y (cbrt.f64 x)) z)

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-exp-log_binary64_14438`
21×	`add-cbrt-cube_binary64_14436`
12×	`cbrt-unprod_binary64_14433` `prod-exp_binary64_14449`
11×	`add-sqr-sqrt_binary64_14422`
10×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
9×	`pow1_binary64_14461`
7×	`associate-r_binary64_14340`
6×	`cbrt-undiv_binary64_14434` `div-exp_binary64_14451` `cbrt-prod_binary64_14431` `times-frac_binary64_14406`
4×	`add-log-exp_binary64_14439`
3×	`associate-/r*_binary64_14344` `pow-prod-down_binary64_14471`
2×	`pow1/3_binary64_14482` `div-inv_binary64_14397`
1×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-r/_binary64_14342` `associate-l_binary64_14341` `-commutative_binary64_14331` `unswap-sqr_binary64_14368` `associate-/l*_binary64_14345`

Counts

4 → 75

Calls

4 calls:

11.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 y (cbrt.f64 x)) z))
5.0ms	(/.f64 (*.f64 y (cbrt.f64 x)) z)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series284.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt.f64 x)
82.0ms	(cbrt.f64 x)
72.0ms	(/.f64 (*.f64 y (cbrt.f64 x)) z)
42.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 y (cbrt.f64 x)) z))

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5108	799

prune47.0ms (1.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	87	9	96

Merged error: 0.0b

Counts

96 → 9

Compiler

Compiled 1142 to 273 computations (76.1% saved)

regimes535.0ms (12.5%)

Compiler: Compiled 2226 to 1746 computations (21.6% saved)

bsearch1.0ms (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	33	81
1	33	81

end0.0ms (0%)

sample988.0ms (23.1%)

Algorithm

1×

intervals

Results

290.0ms	8000×	body	128	valid
63.0ms	1536×	body	128	invalid

Compiler

Compiled 423 to 288 computations (31.9% saved)

Details

analyze759.0ms (17.8%)

sample22.0ms (0.5%)

simplify273.0ms (6.4%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

rewrite9.0ms (0.2%)

series19.0ms (0.4%)

simplify91.0ms (2.1%)

prune40.0ms (0.9%)

localize8.0ms (0.2%)

rewrite27.0ms (0.6%)

series280.0ms (6.5%)

simplify66.0ms (1.5%)

prune68.0ms (1.6%)

localize13.0ms (0.3%)

rewrite55.0ms (1.3%)

series333.0ms (7.8%)

simplify132.0ms (3.1%)

prune116.0ms (2.7%)

localize10.0ms (0.2%)

rewrite24.0ms (0.6%)

series284.0ms (6.7%)

simplify59.0ms (1.4%)

prune47.0ms (1.1%)

regimes535.0ms (12.5%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample988.0ms (23.1%)

Profiling