Details

analyze70.0ms (1.2%)

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
54.6%	42.1%	3.2%	7
63.2%	30.4%	6.3%	8
69.9%	21.5%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
82%	7%	11%	12
83.9%	4.4%	11.8%	13
84.7%	3.5%	11.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms	200×	body	128	valid
2.0ms	21×	body	1024	valid
1.0ms	21×	body	512	valid
1.0ms	14×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify281.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (182.0ms)

Iter	Nodes	Cost
0	5075	10

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (-.f64 1 y) (*.f64 x y))
0.0b	(+.f64 (-.f64 1 y) (*.f64 x y))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_17508`
4×	`associate-+l+_binary64_17402`
3×	`cancel-sign-sub-inv_binary64_17435`
2×	`*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504` `add-sqr-sqrt_binary64_17491` `sum-log_binary64_17560`
1×	`sub-neg_binary64_17462` `associate-+l-_binary64_17404` `flip3-+_binary64_17472` `flip-+_binary64_17443` `add-exp-log_binary64_17507` `diff-log_binary64_17561` `+-commutative_binary64_17399` `pow1_binary64_17530` `add-cbrt-cube_binary64_17505`

Counts

1 → 17

Calls

2 calls:

8.0ms	(+.f64 (-.f64 1 y) (*.f64 x y))
0.0ms	(+.f64 (-.f64 1 y) (*.f64 x y))

series66.0ms (1.2%)

Counts

1 → 12

Calls

1 calls:

66.0ms

(+.f64 (-.f64 1 y) (*.f64 x y))

Compiler

Compiled 106 to 97 computations (8.5% saved)

simplify65.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4972	321
1	4972	321

prune27.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Error

0.0b

Counts

31 → 3

Compiler

Compiled 300 to 154 computations (48.7% saved)

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 y x) (-.f64 1 y))) (cbrt.f64 (+.f64 (.f64 y x) (-.f64 1 y)))) (cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y))))
0.0b	(+.f64 (*.f64 y x) (-.f64 1 y))
0.0b	(+.f64 (*.f64 y x) (-.f64 1 y))
0.0b	(+.f64 (*.f64 y x) (-.f64 1 y))
0.3b	(.f64 (cbrt.f64 (+.f64 (.f64 y x) (-.f64 1 y))) (cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y))))
0.3b	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
0.3b	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
0.3b	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))

rewrite49.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_17500`
23×	`add-sqr-sqrt_binary64_17491`
18×	`cbrt-div_binary64_17501`
15×	`*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504`
11×	`pow1_binary64_17530`
9×	`pow1/3_binary64_17551` `flip3-+_binary64_17472` `flip-+_binary64_17443`
6×	`associate-l_binary64_17410` `add-exp-log_binary64_17507` `associate-r_binary64_17409` `swap-sqr_binary64_17436`
4×	`unswap-sqr_binary64_17437` `frac-times_binary64_17479` `add-log-exp_binary64_17508` `add-cbrt-cube_binary64_17505`
2×	`pow-prod-up_binary64_17539` `associate-r/_binary64_17411` `pow-sqr_binary64_17442` `associate-l/_binary64_17412` `pow-prod-down_binary64_17540`
1×	`*-commutative_binary64_17400` `pow-plus_binary64_17532` `prod-exp_binary64_17518` `pow2_binary64_17550` `cbrt-unprod_binary64_17502`

Counts

4 → 87

Calls

8 calls:

17.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y x) (-.f64 1 y))) (cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y))))
6.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
0.0ms	(+.f64 (*.f64 y x) (-.f64 1 y))

series1.4s (25%)

Counts

4 → 80

Calls

4 calls:

623.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y x) (-.f64 1 y))) (cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y))))
272.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
261.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
258.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))

Compiler

Compiled 6726 to 5339 computations (20.6% saved)

simplify94.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5038	8874

prune455.0ms (8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	166	4	170

Error

Counts

170 → 4

Compiler

Compiled 8583 to 5255 computations (38.8% saved)

localize18.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (*.f64 y x) (-.f64 1 y))
0.0b	(+.f64 (*.f64 y x) (-.f64 1 y))
0.0b	(+.f64 (*.f64 y x) (-.f64 1 y))
0.0b	(+.f64 (*.f64 y x) (-.f64 1 y))
0.3b	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
0.3b	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
0.3b	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
0.3b	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_17500`
8×	`*-un-lft-identity_binary64_17469` `cbrt-div_binary64_17501` `add-cube-cbrt_binary64_17504` `add-sqr-sqrt_binary64_17491`
4×	`pow1/3_binary64_17551` `flip3-+_binary64_17472` `flip-+_binary64_17443` `add-exp-log_binary64_17507` `add-log-exp_binary64_17508` `pow1_binary64_17530` `add-cbrt-cube_binary64_17505`

Counts

4 → 52

Calls

8 calls:

7.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
7.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
0.0ms	(+.f64 (*.f64 y x) (-.f64 1 y))

series1.1s (19.4%)

Counts

4 → 80

Calls

4 calls:

281.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
277.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
271.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))
267.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y)))

Compiler

Compiled 7608 to 5548 computations (27.1% saved)

simplify115.0ms (2%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4981	4580
1	4981	4580

prune380.0ms (6.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	132	4	136

Error

Counts

136 → 4

Compiler

Compiled 8321 to 4740 computations (43% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.2b	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0.0b	(*.f64 (-.f64 1 x) (-.f64 1 y))
0.0b	(*.f64 (-.f64 1 x) (-.f64 1 y))
2.2b	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_17491`
14×	`*-un-lft-identity_binary64_17469`
12×	`cancel-sign-sub-inv_binary64_17435`
8×	`associate-+r+_binary64_17401` `distribute-rgt-in_binary64_17419` `add-cube-cbrt_binary64_17504` `distribute-lft-in_binary64_17418`
6×	`associate-l_binary64_17410` `associate-r_binary64_17409` `flip3--_binary64_17473` `flip--_binary64_17444`
4×	`sub-neg_binary64_17462` `difference-of-squares_binary64_17438` `frac-times_binary64_17479` `add-exp-log_binary64_17507` `add-log-exp_binary64_17508` `pow1_binary64_17530` `add-cbrt-cube_binary64_17505`
2×	`associate-r/_binary64_17411` `associate-l/_binary64_17412` `distribute-lft-out--_binary64_17421`
1×	`*-commutative_binary64_17400` `flip3-+_binary64_17472` `flip-+_binary64_17443` `prod-exp_binary64_17518` `unswap-sqr_binary64_17437` `pow-prod-down_binary64_17540` `+-commutative_binary64_17399` `cbrt-unprod_binary64_17502` `sum-log_binary64_17560`

Counts

2 → 59

Calls

4 calls:

11.0ms	(*.f64 (-.f64 1 x) (-.f64 1 y))
5.0ms	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0.0ms	(*.f64 (-.f64 1 x) (-.f64 1 y))
0.0ms	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

series146.0ms (2.6%)

Counts

2 → 24

Calls

2 calls:

78.0ms	(*.f64 (-.f64 1 x) (-.f64 1 y))
67.0ms	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

Compiler

Compiled 284 to 235 computations (17.3% saved)

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5147	952

prune59.0ms (1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	83	4	87

Error

Counts

87 → 4

Compiler

Compiled 1020 to 615 computations (39.7% saved)

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	369	309
1	369	309

regimes91.0ms (1.6%)

Compiler: Compiled 649 to 495 computations (23.7% saved)

bsearch0.0ms (0%)

regimes43.0ms (0.8%)

Compiler: Compiled 85 to 115 computations (-35.3% saved)

bsearch0.0ms (0%)

regimes76.0ms (1.3%)

Compiler: Compiled 64 to 97 computations (-51.6% saved)

bsearch18.0ms (0.3%)

Steps

Iters	Range		Point
3	2061467280.7300844	2907068587.194651	2848842482.5862455
7	-5.617377287128045e+113	-8.721202684019954e+111	-9.060048472116547e+111

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes43.0ms (0.8%)

Compiler: Compiled 37 to 64 computations (-73% saved)

bsearch25.0ms (0.4%)

Steps

Iters	Range		Point
7	4225395036929261.0	8.663560396544756e+17	8.148364193971165e+17
7	-5.617377287128045e+113	-8.721202684019954e+111	-2.5045084233652242e+113

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes28.0ms (0.5%)

Compiler: Compiled 28 to 55 computations (-96.4% saved)

bsearch0.0ms (0%)

regimes16.0ms (0.3%)

Accuracy

Total 0.0b remaining (82.1%)

Threshold costs 0.0b (82.1%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 54 to 43 computations (20.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	74
1	44	74

end0.0ms (0%)

sample778.0ms (13.7%)

Algorithm

1×

intervals

Results

158.0ms	6032×	body	128	valid
66.0ms	695×	body	1024	valid
50.0ms	757×	body	512	valid
25.0ms	505×	body	256	valid
2.0ms	79×	body	128	invalid
1.0ms	11×	body	2048	valid

Compiler

Compiled 275 to 211 computations (23.3% saved)

Pareto

0.34855927291137295

Details

analyze70.0ms (1.2%)

sample17.0ms (0.3%)

simplify281.0ms (5%)

prune4.0ms (0.1%)

localize5.0ms (0.1%)

rewrite10.0ms (0.2%)

series66.0ms (1.2%)

simplify65.0ms (1.1%)

prune27.0ms (0.5%)

localize10.0ms (0.2%)

rewrite49.0ms (0.9%)

series1.4s (25%)

simplify94.0ms (1.7%)

prune455.0ms (8%)

localize18.0ms (0.3%)

rewrite34.0ms (0.6%)

series1.1s (19.4%)

simplify115.0ms (2%)

prune380.0ms (6.7%)

localize6.0ms (0.1%)

rewrite20.0ms (0.4%)

series146.0ms (2.6%)

simplify74.0ms (1.3%)

prune59.0ms (1%)

simplify20.0ms (0.4%)

regimes91.0ms (1.6%)

bsearch0.0ms (0%)

regimes43.0ms (0.8%)

bsearch0.0ms (0%)

regimes76.0ms (1.3%)

bsearch18.0ms (0.3%)

regimes43.0ms (0.8%)

bsearch25.0ms (0.4%)

regimes28.0ms (0.5%)

bsearch0.0ms (0%)

regimes16.0ms (0.3%)

bsearch4.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample778.0ms (13.7%)

Profiling