Details

analyze811.0ms (4.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4997	22
1	4997	22
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
31.2%	68.7%	0.1%	5
31.2%	59.3%	9.5%	6
34.3%	54.6%	11%	7
34.3%	49.2%	16.5%	8
35.9%	46.4%	17.7%	9
35.9%	42.1%	22%	10
36.7%	40.6%	22.7%	11
36.7%	39.1%	24.2%	12
37.1%	38.3%	24.7%	13
37.1%	36.7%	26.2%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample409.0ms (2.1%)

Algorithm

1×

intervals

Results

313.0ms	174×	body	8192	exit
37.0ms	115×	body	1024	nan
17.0ms	256×	body	128	valid
10.0ms	53×	body	512	nan
3.0ms	28×	body	256	nan
1.0ms	14×	body	128	nan
0.0ms	9×	body	128	overflowed
0.0ms	1×	body	128	invalid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4896	11
1	4896	11

prune6.0ms (0%)

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

0.2b

Counts

2 → 2

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
0.2b	(pow.f64 l (exp.f64 w))

rewrite57.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

21×	`times-frac_binary64_766`
20×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
15×	`unpow-prod-down_binary64_839`
7×	`associate-/l*_binary64_705`
5×	`add-exp-log_binary64_798` `sqr-pow_binary64_732`
4×	`add-cbrt-cube_binary64_796`
3×	`pow-unpow_binary64_837` `pow1_binary64_821` `div-exp_binary64_811` `associate-/r*_binary64_704`
2×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `add-log-exp_binary64_799`
1×	`pow-pow_binary64_832` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757`

Counts

2 → 62

Calls

2 calls:

5.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
2.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 946 to 222 computations (76.5% saved)

series367.0ms (1.9%)

Error

0.1b

Counts

2 → 18

Calls

2 calls:

194.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
154.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 956 to 520 computations (45.6% saved)

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4974	1490
1	4974	1490

prune66.0ms (0.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	76	6	82

Error

0.1b

Counts

82 → 6

Compiler

Compiled 1297 to 370 computations (71.5% saved)

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))
0.0b	(/.f64 (pow.f64 (pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (cbrt.f64 (exp.f64 w))) (exp.f64 w))
0.2b	(pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
0.2b	(pow.f64 (pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (cbrt.f64 (exp.f64 w)))

rewrite171.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

53×	`unpow-prod-down_binary64_839`
49×	`add-sqr-sqrt_binary64_782`
41×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
33×	`times-frac_binary64_766`
19×	`cbrt-prod_binary64_791`
12×	`add-exp-log_binary64_798` `pow1_binary64_821`
11×	`sqr-pow_binary64_732` `associate-/l*_binary64_705`
9×	`pow-exp_binary64_828`
7×	`pow-unpow_binary64_837`
6×	`add-cbrt-cube_binary64_796` `pow1/3_binary64_842` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
5×	`pow-to-exp_binary64_829` `div-exp_binary64_811`
4×	`add-log-exp_binary64_799` `unswap-sqr_binary64_728`
3×	`associate-/r*_binary64_704`
2×	`pow-pow_binary64_832` `pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-sqr_binary64_733`
1×	`cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 144

Calls

4 calls:

9.0ms	(/.f64 (pow.f64 (pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (cbrt.f64 (exp.f64 w))) (exp.f64 w))
7.0ms	(*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))
4.0ms	(pow.f64 (pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (cbrt.f64 (exp.f64 w)))
2.0ms	(pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w))))

Compiler

Compiled 4012 to 622 computations (84.5% saved)

series2.0s (10%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

821.0ms	(/.f64 (pow.f64 (pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (cbrt.f64 (exp.f64 w))) (exp.f64 w))
703.0ms	(pow.f64 (pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))) (cbrt.f64 (exp.f64 w)))
303.0ms	(pow.f64 l (*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
77.0ms	(*.f64 (cbrt.f64 (exp.f64 w)) (cbrt.f64 (exp.f64 w)))

Compiler

Compiled 3332 to 1751 computations (47.4% saved)

simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4984	4599
1	4984	4599

prune189.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	178	5	183

Error

0.1b

Counts

183 → 5

Compiler

Compiled 4217 to 1709 computations (59.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))) (cbrt.f64 (pow.f64 l (exp.f64 w))))
0.4b	(cbrt.f64 (pow.f64 l (exp.f64 w)))
0.4b	(cbrt.f64 (pow.f64 l (exp.f64 w)))
0.4b	(cbrt.f64 (pow.f64 l (exp.f64 w)))

rewrite147.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

73×	`cbrt-prod_binary64_791`
46×	`add-sqr-sqrt_binary64_782`
29×	`unpow-prod-down_binary64_839`
22×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
16×	`unswap-sqr_binary64_728`
15×	`sqr-pow_binary64_732`
11×	`pow1_binary64_821`
10×	`swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
9×	`pow1/3_binary64_842`
6×	`add-exp-log_binary64_798`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
2×	`pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-sqr_binary64_733`
1×	`pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 109

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))) (cbrt.f64 (pow.f64 l (exp.f64 w))))
2.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))
2.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))
2.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))

Compiler

Compiled 4150 to 596 computations (85.6% saved)

series1.4s (7.2%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

400.0ms	(*.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))) (cbrt.f64 (pow.f64 l (exp.f64 w))))
330.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))
320.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))
315.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))

Compiler

Compiled 4048 to 1911 computations (52.8% saved)

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5363	2836

prune165.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	144	6	150

Error

0.1b

Counts

150 → 6

Compiler

Compiled 5303 to 991 computations (81.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (pow.f64 l (exp.f64 w)))
0.4b	(cbrt.f64 (pow.f64 l (exp.f64 w)))
0.4b	(cbrt.f64 (pow.f64 l (exp.f64 w)))
3.0b	(exp.f64 (log.f64 (cbrt.f64 (pow.f64 l (exp.f64 w)))))

rewrite98.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`cbrt-prod_binary64_791`
14×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
12×	`unpow-prod-down_binary64_839`
10×	`log-prod_binary64_846` `exp-sum_binary64_806`
5×	`pow1_binary64_821` `exp-prod_binary64_812`
4×	`pow1/3_binary64_842` `sqr-pow_binary64_732` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
2×	`log-pow_binary64_849`
1×	`rem-exp-log_binary64_800`

Counts

4 → 68

Calls

4 calls:

5.0ms	(exp.f64 (log.f64 (cbrt.f64 (pow.f64 l (exp.f64 w)))))
2.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))
2.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))
2.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))

Compiler

Compiled 2611 to 378 computations (85.5% saved)

series1.5s (7.5%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

469.0ms	(exp.f64 (log.f64 (cbrt.f64 (pow.f64 l (exp.f64 w)))))
317.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))
317.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))
313.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))

Compiler

Compiled 4324 to 2032 computations (53% saved)

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5220	1605

prune107.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	104	6	110

Error

0.0b

Counts

110 → 6

Compiler

Compiled 3810 to 578 computations (84.8% saved)

regimes289.0ms (1.5%)

Accuracy

Total 0.2b remaining (80.1%)

Threshold costs 0.2b (80.1%)

Compiler

Compiled 3689 to 2011 computations (45.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	11
1	6	11

end0.0ms (0%)

sample11.5s (58.4%)

Algorithm

1×

intervals

Results

8.0s	4636×	body	8192	exit
1.0s	3252×	body	1024	nan
438.0ms	8000×	body	128	valid
275.0ms	1606×	body	512	nan
81.0ms	802×	body	256	nan
15.0ms	349×	body	128	nan
9.0ms	149×	body	128	overflowed
7.0ms	114×	body	128	invalid
3.0ms	6×	body	2048	nan
2.0ms	1×	body	8192	nan

Compiler

Compiled 1239 to 678 computations (45.3% saved)

Details

analyze811.0ms (4.1%)

sample409.0ms (2.1%)

simplify102.0ms (0.5%)

prune6.0ms (0%)

localize5.0ms (0%)

rewrite57.0ms (0.3%)

series367.0ms (1.9%)

simplify61.0ms (0.3%)

prune66.0ms (0.3%)

localize8.0ms (0%)

rewrite171.0ms (0.9%)

series2.0s (10%)

simplify102.0ms (0.5%)

prune189.0ms (1%)

localize12.0ms (0.1%)

rewrite147.0ms (0.7%)

series1.4s (7.2%)

simplify73.0ms (0.4%)

prune165.0ms (0.8%)

localize15.0ms (0.1%)

rewrite98.0ms (0.5%)

series1.5s (7.5%)

simplify57.0ms (0.3%)

prune107.0ms (0.5%)

regimes289.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample11.5s (58.4%)

Profiling