Details

analyze311.0ms (14.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
27.3%	67.1%	5.6%	9
41%	50.3%	8.7%	10
43.9%	47%	9.1%	11
48.3%	38%	13.7%	12
56.3%	27.4%	16.2%	13
58.2%	25.4%	16.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify91.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

prune2.0ms (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

6.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y y) z))
9.1b	(/.f64 (*.f64 y y) z)

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
6×	`*-un-lft-identity_binary64_20538`
4×	`add-log-exp_binary64_20577` `add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560`
3×	`associate-/r*_binary64_20482` `times-frac_binary64_20544`
2×	`pow1_binary64_20599` `div-exp_binary64_20589` `cbrt-undiv_binary64_20572`
1×	`clear-num_binary64_20537` `cbrt-unprod_binary64_20571` `associate-/l*_binary64_20483` `sum-log_binary64_20629` `frac-2neg_binary64_20549` `+-commutative_binary64_20468` `flip3-+_binary64_20541` `prod-exp_binary64_20587` `div-inv_binary64_20535` `flip-+_binary64_20512` `distribute-lft-out_binary64_20489`

Counts

2 → 33

Calls

2 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
5.0ms	(/.f64 (*.f64 y y) z)

series47.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
19.0ms	(/.f64 (*.f64 y y) z)

simplify82.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4877	437
1	4877	437

prune28.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Error

0.0b

Counts

40 → 4

Compiler

Compiled 446 to 129 computations (71.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 z y)))
0.1b	(/.f64 y (/.f64 z y))

rewrite29.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64_20544`
46×	`*-un-lft-identity_binary64_20538`
44×	`add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560`
13×	`associate-/r*_binary64_20482`
7×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
5×	`div-inv_binary64_20535`
4×	`add-log-exp_binary64_20577`
3×	`associate-/l*_binary64_20483` `div-exp_binary64_20589` `cbrt-undiv_binary64_20572`
2×	`pow1_binary64_20599`
1×	`clear-num_binary64_20537` `associate-/r/_binary64_20484` `sum-log_binary64_20629` `frac-2neg_binary64_20549` `+-commutative_binary64_20468` `flip3-+_binary64_20541` `flip-+_binary64_20512` `distribute-lft-out_binary64_20489`

Counts

2 → 82

Calls

2 calls:

14.0ms	(+.f64 x (/.f64 y (/.f64 z y)))
8.0ms	(/.f64 y (/.f64 z y))

series45.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(+.f64 x (/.f64 y (/.f64 z y)))
14.0ms	(/.f64 y (/.f64 z y))

simplify101.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4958	1306
1	4958	1306

prune55.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	87	5	92

Error

Counts

92 → 5

Compiler

Compiled 1219 to 316 computations (74.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 y z)))
0.1b	(*.f64 y (/.f64 y z))

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_20560`
13×	`associate-r_binary64_20478`
10×	`*-un-lft-identity_binary64_20538` `times-frac_binary64_20544` `add-cube-cbrt_binary64_20573`
7×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
4×	`pow1_binary64_20599` `add-log-exp_binary64_20577`
3×	`associate-l_binary64_20479`
2×	`cbrt-unprod_binary64_20571` `prod-exp_binary64_20587` `unswap-sqr_binary64_20506`
1×	`associate-r/_binary64_20480` `pow-prod-down_binary64_20609` `sum-log_binary64_20629` `+-commutative_binary64_20468` `flip3-+_binary64_20541` `-commutative_binary64_20469` `div-inv_binary64_20535` `div-exp_binary64_20589` `flip-+_binary64_20512` `cbrt-undiv_binary64_20572`

Counts

2 → 43

Calls

2 calls:

7.0ms	(*.f64 y (/.f64 y z))
3.0ms	(+.f64 x (*.f64 y (/.f64 y z)))

series47.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(+.f64 x (*.f64 y (/.f64 y z)))
15.0ms	(*.f64 y (/.f64 y z))

simplify76.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4957	534
1	4957	534

prune28.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	49	5	54

Error

Counts

54 → 5

Compiler

Compiled 603 to 171 computations (71.6% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_20569`
8×	`*-un-lft-identity_binary64_20538` `add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560`
4×	`pow1/3_binary64_20620` `pow1_binary64_20599` `add-cbrt-cube_binary64_20574` `add-log-exp_binary64_20577` `add-exp-log_binary64_20576`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 z)

series329.0ms (15.1%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt.f64 y)
84.0ms	(cbrt.f64 z)
80.0ms	(cbrt.f64 y)
78.0ms	(cbrt.f64 y)

simplify33.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5087	340

prune48.0ms (2.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	56	5	61

Error

Counts

61 → 5

Compiler

Compiled 1352 to 312 computations (76.9% saved)

regimes134.0ms (6.1%)

Accuracy

Total 0.1b remaining (93.8%)

Threshold costs 0.1b (93.8%)

Compiler

Compiled 1088 to 716 computations (34.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample617.0ms (28.3%)

Algorithm

1×

intervals

Results

215.0ms	8000×	body	128	valid
25.0ms	921×	body	128	invalid

Compiler

Compiled 177 to 120 computations (32.2% saved)

Details

analyze311.0ms (14.2%)

sample15.0ms (0.7%)

simplify91.0ms (4.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite12.0ms (0.5%)

series47.0ms (2.1%)

simplify82.0ms (3.8%)

prune28.0ms (1.3%)

localize5.0ms (0.2%)

rewrite29.0ms (1.3%)

series45.0ms (2.1%)

simplify101.0ms (4.6%)

prune55.0ms (2.5%)

localize5.0ms (0.2%)

rewrite13.0ms (0.6%)

series47.0ms (2.1%)

simplify76.0ms (3.5%)

prune28.0ms (1.3%)

localize13.0ms (0.6%)

rewrite10.0ms (0.5%)

series329.0ms (15.1%)

simplify33.0ms (1.5%)

prune48.0ms (2.2%)

regimes134.0ms (6.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample617.0ms (28.3%)

Profiling