Details

analyze772.0ms (21.5%)

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)

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	37×	body	80	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify142.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4962	7
1	4962	7

prune8.0ms (0.2%)

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: 6.1b

Counts

2 → 2

Compiler

Compiled 19 to 20 computations (-5.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.8b	(*.f64 x (/.f64 y z))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-l_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `-commutative_binary64`

Counts

1 → 32

Calls

1 calls:

7.0ms

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

series5.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify116.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5357	348

prune50.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	27	8	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	27	10	37

Merged error: 0.0b

Counts

37 → 10

Compiler

Compiled 441 to 166 computations (62.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
4.9b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64`
28×	`times-frac_binary64`
25×	`add-exp-log_binary64`
22×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
20×	`cbrt-prod_binary64`
18×	`add-cbrt-cube_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

16.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series58.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 z)
16.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)
12.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

simplify112.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4954	1213
1	4954	1213

prune70.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	3	5	8
Picked	0	1	1
Done	1	0	1
Total	106	8	114

Merged error: 0.0b

Counts

114 → 8

Compiler

Compiled 1588 to 513 computations (67.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-l_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `-commutative_binary64`

Counts

1 → 32

Calls

1 calls:

7.0ms

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

series5.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify109.0ms (3%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5157	348

prune33.0ms (0.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	34	9	43

Merged error: 0.0b

Counts

43 → 9

Compiler

Compiled 422 to 147 computations (65.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.6b	(.f64 y (.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))))
12.4b	(cbrt.f64 (/.f64 x z))
12.4b	(cbrt.f64 (/.f64 x z))
12.4b	(cbrt.f64 (/.f64 x z))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
27×	`add-sqr-sqrt_binary64` `times-frac_binary64`
26×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64`
7×	`cbrt-div_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `associate-l_binary64` `prod-exp_binary64` `div-inv_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

10.0ms	(.f64 y (.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))))
3.0ms	(cbrt.f64 (/.f64 x z))
2.0ms	(cbrt.f64 (/.f64 x z))
2.0ms	(cbrt.f64 (/.f64 x z))

series65.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(.f64 y (.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))))
12.0ms	(cbrt.f64 (/.f64 x z))
12.0ms	(cbrt.f64 (/.f64 x z))
12.0ms	(cbrt.f64 (/.f64 x z))

simplify90.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5265	1199

prune45.0ms (1.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	100	9	109

Merged error: 0.0b

Counts

109 → 9

Compiler

Compiled 1980 to 453 computations (77.1% saved)

regimes510.0ms (14.2%)

Compiler: Compiled 774 to 618 computations (20.2% saved)

bsearch0.0ms (0%)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	82
1	38	82

end0.0ms (0%)

sample1.3s (36%)

Algorithm

1×

intervals

Results

255.0ms	8000×	body	80	valid
48.0ms	1477×	body	80	invalid

Compiler

Compiled 228 to 138 computations (39.5% saved)

Details

analyze772.0ms (21.5%)

sample20.0ms (0.6%)

simplify142.0ms (4%)

prune8.0ms (0.2%)

localize4.0ms (0.1%)

rewrite8.0ms (0.2%)

series5.0ms (0.1%)

simplify116.0ms (3.2%)

prune50.0ms (1.4%)

localize8.0ms (0.2%)

rewrite25.0ms (0.7%)

series58.0ms (1.6%)

simplify112.0ms (3.1%)

prune70.0ms (2%)

localize4.0ms (0.1%)

rewrite8.0ms (0.2%)

series5.0ms (0.1%)

simplify109.0ms (3%)

prune33.0ms (0.9%)

localize7.0ms (0.2%)

rewrite21.0ms (0.6%)

series65.0ms (1.8%)

simplify90.0ms (2.5%)

prune45.0ms (1.3%)

regimes510.0ms (14.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (36%)

Profiling