Details

analyze752.0ms (19.7%)

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	64×	body	80	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify80.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	735	13
1	735	13

prune10.0ms (0.3%)

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: 1.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
5.9b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

20.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
8.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series47.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
21.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify80.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5331	832

prune56.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

Compiler

Compiled 937 to 268 computations (71.4% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
2.0b	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64`
14×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
9×	`cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
6×	`pow1_binary64`
5×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1/3_binary64`
2×	`flip3--_binary64` `unswap-sqr_binary64` `times-frac_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 69

Calls

4 calls:

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

series109.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
31.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)

simplify167.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4946	1100
1	4946	1100

prune74.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

Compiler

Compiled 2212 to 595 computations (73.1% saved)

localize22.0ms (0.6%)

Local error

Found 4 expressions with local error:

2.0b	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
11.9b	(cbrt.f64 (/.f64 z t))
11.9b	(cbrt.f64 (/.f64 z t))
11.9b	(cbrt.f64 (/.f64 z t))

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
29×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
15×	`cbrt-div_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `frac-times_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-*r/_binary64`
5×	`associate-l_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `prod-exp_binary64` `div-inv_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

14.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
3.0ms	(cbrt.f64 (/.f64 z t))
3.0ms	(cbrt.f64 (/.f64 z t))
2.0ms	(cbrt.f64 (/.f64 z t))

series153.0ms (4%)

Counts

4 → 12

Calls

4 calls:

93.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
24.0ms	(cbrt.f64 (/.f64 z t))
23.0ms	(cbrt.f64 (/.f64 z t))
13.0ms	(cbrt.f64 (/.f64 z t))

simplify170.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	5119	1560

prune71.0ms (1.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	110	8	118

Merged error: 0.0b

Counts

118 → 8

Compiler

Compiled 2749 to 679 computations (75.3% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
3.5b	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64`
22×	`associate-r_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`add-cbrt-cube_binary64` `times-frac_binary64` `cbrt-prod_binary64`
13×	`pow1_binary64`
12×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`pow-prod-down_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `pow1/3_binary64` `div-exp_binary64`
2×	`flip3--_binary64` `flip--_binary64` `frac-times_binary64`
1×	`associate-r/_binary64` `associate-l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 84

Calls

4 calls:

17.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))
2.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series72.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))
19.0ms	(cbrt.f64 z)
16.0ms	(cbrt.f64 z)
16.0ms	(cbrt.f64 z)

simplify100.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4983	1116
1	4983	1116

prune49.0ms (1.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

Compiler

Compiled 1710 to 483 computations (71.8% saved)

regimes355.0ms (9.3%)

Compiler: Compiled 781 to 585 computations (25.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	37
1	28	37

end0.0ms (0%)

sample1.3s (33.7%)

Algorithm

1×

intervals

Results

246.0ms	8000×	body	80	valid
66.0ms	2032×	body	80	invalid

Compiler

Compiled 199 to 129 computations (35.2% saved)

Details

analyze752.0ms (19.7%)

sample20.0ms (0.5%)

simplify80.0ms (2.1%)

prune10.0ms (0.3%)

localize13.0ms (0.3%)

rewrite31.0ms (0.8%)

series47.0ms (1.2%)

simplify80.0ms (2.1%)

prune56.0ms (1.5%)

localize14.0ms (0.4%)

rewrite21.0ms (0.5%)

series109.0ms (2.9%)

simplify167.0ms (4.4%)

prune74.0ms (1.9%)

localize22.0ms (0.6%)

rewrite25.0ms (0.7%)

series153.0ms (4%)

simplify170.0ms (4.4%)

prune71.0ms (1.8%)

localize14.0ms (0.4%)

rewrite26.0ms (0.7%)

series72.0ms (1.9%)

simplify100.0ms (2.6%)

prune49.0ms (1.3%)

regimes355.0ms (9.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (33.7%)

Profiling