Details

analyze1.1s (15.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3763	60
1	3763	60
0	3	3
1	3	3

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
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample29.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
2.0ms	41×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	738	15
1	738	15

prune7.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 32 to 28 computations (12.5% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
2.5b	(*.f64 (/.f64 x y) z)

rewrite145.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`*-un-lft-identity_binary64_419`
25×	`add-sqr-sqrt_binary64_441`
22×	`times-frac_binary64_425`
20×	`add-cube-cbrt_binary64_454`
13×	`associate-l_binary64_360`
10×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
5×	`pow1_binary64_480` `add-log-exp_binary64_458`
4×	`distribute-lft-out_binary64_370` `associate-/l*_binary64_364`
3×	`associate-l/_binary64_362` `associate-r_binary64_359` `associate-/r_binary64_363`
2×	`div-exp_binary64_470` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `cbrt-undiv_binary64_453` `unswap-sqr_binary64_387` `div-inv_binary64_416` `associate-/l/_binary64_366`
1×	`pow-prod-down_binary64_490` `*-commutative_binary64_350` `diff-log_binary64_511` `frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385` `frac-2neg_binary64_430` `clear-num_binary64_418` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

3 → 79

Calls

3 calls:

9.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)
5.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1545 to 746 computations (51.7% saved)

series464.0ms (6.5%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

258.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
111.0ms	(*.f64 (/.f64 x y) z)
70.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1124 to 782 computations (30.4% saved)

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5171	1334

prune144.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	107	5	112
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	108	6	114

Error

0.0b

Counts

114 → 6

Compiler

Compiled 1858 to 901 computations (51.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.8b	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
2.0b	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))

rewrite159.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-exp-log_binary64_457`
21×	`add-cbrt-cube_binary64_455`
18×	`pow1_binary64_480` `add-sqr-sqrt_binary64_441`
17×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
15×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
14×	`associate-l_binary64_360`
10×	`times-frac_binary64_425`
9×	`pow-prod-down_binary64_490` `cbrt-prod_binary64_450`
7×	`associate-r_binary64_359`
4×	`div-exp_binary64_470` `add-log-exp_binary64_458` `cbrt-undiv_binary64_453`
3×	`associate-*l/_binary64_362`
2×	`unswap-sqr_binary64_387` `*-commutative_binary64_350` `pow1/3_binary64_501`
1×	`div-inv_binary64_416`

Counts

4 → 86

Calls

4 calls:

20.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
10.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)

Compiler

Compiled 2191 to 731 computations (66.6% saved)

series784.0ms (11%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

413.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
156.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
101.0ms	(cbrt.f64 z)
88.0ms	(cbrt.f64 z)

Compiler

Compiled 1263 to 924 computations (26.8% saved)

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5003	1058

prune120.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	109	7	116

Error

0.0b

Counts

116 → 7

Compiler

Compiled 2252 to 1057 computations (53.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 (cbrt.f64 z))
0.8b	(.f64 (.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z))))
2.0b	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))

rewrite193.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

85×	`add-exp-log_binary64_457`
54×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
49×	`add-cbrt-cube_binary64_455`
45×	`pow1_binary64_480`
30×	`pow-prod-down_binary64_490`
18×	`add-sqr-sqrt_binary64_441` `cbrt-prod_binary64_450`
15×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
14×	`associate-l_binary64_360`
10×	`times-frac_binary64_425`
8×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
4×	`add-log-exp_binary64_458`
3×	`associate-*l/_binary64_362`
2×	`unswap-sqr_binary64_387` `associate-r_binary64_359` `*-commutative_binary64_350` `pow1/3_binary64_501`
1×	`div-inv_binary64_416`

Counts

4 → 113

Calls

4 calls:

25.0ms	(.f64 (.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z))))
12.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
2.0ms	(cbrt.f64 (cbrt.f64 z))
1.0ms	(cbrt.f64 (cbrt.f64 z))

Compiler

Compiled 4200 to 961 computations (77.1% saved)

series902.0ms (12.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

449.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
218.0ms	(.f64 (.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z))))
109.0ms	(cbrt.f64 (cbrt.f64 z))
103.0ms	(cbrt.f64 (cbrt.f64 z))

Compiler

Compiled 1662 to 1032 computations (37.9% saved)

simplify89.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5015	1426

prune163.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	136	8	144

Error

0.0b

Counts

144 → 8

Compiler

Compiled 3455 to 1150 computations (66.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
0.6b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
2.5b	(*.f64 (/.f64 x y) z)

rewrite133.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

35×	`add-sqr-sqrt_binary64_441`
22×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419` `cbrt-prod_binary64_450`
19×	`associate-l_binary64_360`
13×	`pow1_binary64_480`
11×	`add-exp-log_binary64_457`
10×	`times-frac_binary64_425`
9×	`add-cbrt-cube_binary64_455` `associate-r_binary64_359`
8×	`pow1/3_binary64_501`
6×	`unswap-sqr_binary64_387` `swap-sqr_binary64_386`
4×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`*-commutative_binary64_350` `pow-prod-up_binary64_489` `pow-sqr_binary64_392`
1×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-*l/_binary64_362` `div-inv_binary64_416` `pow2_binary64_500` `pow-plus_binary64_482`

Counts

4 → 94

Calls

4 calls:

11.0ms	(*.f64 (/.f64 x y) z)
6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2309 to 818 computations (64.6% saved)

series416.0ms (5.9%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

119.0ms	(*.f64 (/.f64 x y) z)
112.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
93.0ms	(cbrt.f64 y)
76.0ms	(cbrt.f64 y)

Compiler

Compiled 1089 to 699 computations (35.8% saved)

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4934	890
1	4934	890

prune115.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	112	8	120

Error

0.0b

Counts

120 → 8

Compiler

Compiled 2501 to 949 computations (62.1% saved)

regimes351.0ms (4.9%)

Accuracy

Total 0.1b remaining (91.5%)

Threshold costs 0.1b (91.5%)

Compiler

Compiled 3102 to 2166 computations (30.2% saved)

bsearch3.0ms (0%)

Compiler: Compiled 12 to 10 computations (16.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	56
1	67	56

end0.0ms (0%)

sample1.5s (20.5%)

Algorithm

1×

intervals

Results

394.0ms	8000×	body	128	valid
59.0ms	1170×	body	128	invalid

Compiler

Compiled 660 to 460 computations (30.3% saved)

Details

analyze1.1s (15.1%)

sample29.0ms (0.4%)

simplify77.0ms (1.1%)

prune7.0ms (0.1%)

localize15.0ms (0.2%)

rewrite145.0ms (2%)

series464.0ms (6.5%)

simplify82.0ms (1.2%)

prune144.0ms (2%)

localize12.0ms (0.2%)

rewrite159.0ms (2.2%)

series784.0ms (11%)

simplify61.0ms (0.9%)

prune120.0ms (1.7%)

localize18.0ms (0.3%)

rewrite193.0ms (2.7%)

series902.0ms (12.7%)

simplify89.0ms (1.3%)

prune163.0ms (2.3%)

localize13.0ms (0.2%)

rewrite133.0ms (1.9%)

series416.0ms (5.9%)

simplify74.0ms (1%)

prune115.0ms (1.6%)

regimes351.0ms (4.9%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (20.5%)

Profiling