Details

analyze1.0s (8.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample71.0ms (0.6%)

Algorithm

1×

intervals

Results

44.0ms	150×	body	2048	valid
10.0ms	50×	body	1024	valid
4.0ms	30×	body	512	valid
1.0ms	10×	body	256	valid
1.0ms	16×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

prune5.0ms (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

0.4b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 5 (.f64 v v))
0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite60.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

7×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
4×	`add-sqr-sqrt_binary64_1805`
3×	`add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l*_binary64_1724`
2×	`add-log-exp_binary64_1822`
1×	`acos-asin_binary64_1964` `unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714`

Counts

2 → 27

Calls

2 calls:

6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 521 to 324 computations (37.8% saved)

series78.0ms (0.6%)

Error

0.4b

Counts

2 → 6

Calls

2 calls:

41.0ms	(.f64 5 (.f64 v v))
34.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 196 to 174 computations (11.2% saved)

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5447	456

prune45.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Error

0.4b

Counts

34 → 2

Compiler

Compiled 453 to 291 computations (35.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

rewrite266.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

25×	`cbrt-prod_binary64_1814`
23×	`add-sqr-sqrt_binary64_1805`
15×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
11×	`pow1_binary64_1844`
9×	`pow1/3_binary64_1865`
6×	`add-exp-log_binary64_1821` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `unswap-sqr_binary64_1751`
2×	`pow-prod-down_binary64_1854` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756`
1×	`pow2_binary64_1864` `pow-plus_binary64_1846` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `*-commutative_binary64_1714`

Counts

4 → 73

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

Compiler

Compiled 4268 to 2704 computations (36.6% saved)

series1.4s (11.5%)

Error

0.4b

Counts

4 → 12

Calls

4 calls:

417.0ms	(.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
328.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
327.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
321.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

Compiler

Compiled 1246 to 946 computations (24.1% saved)

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4867	2499
1	4867	2499

prune161.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	82	5	87

Error

0.4b

Counts

87 → 5

Compiler

Compiled 2877 to 1841 computations (36% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

rewrite137.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

6×	`add-cube-cbrt_binary64_1818` `cbrt-prod_binary64_1814` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
2×	`pow1/3_binary64_1865` `acos-asin_binary64_1964`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 2377 to 1568 computations (34% saved)

series725.0ms (6%)

Error

0.4b

Counts

4 → 12

Calls

4 calls:

322.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
311.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
43.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
38.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1470 to 1128 computations (23.3% saved)

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5078	1292

prune142.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	50	5	55

Error

0.4b

Counts

55 → 5

Compiler

Compiled 2436 to 1621 computations (33.5% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))))) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))))
1.0b	(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))))

rewrite808.0ms (6.6%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

72×	`cbrt-prod_binary64_1814`
42×	`add-sqr-sqrt_binary64_1805`
30×	`pow1_binary64_1844`
21×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
18×	`associate-r_binary64_1723`
17×	`pow1/3_binary64_1865`
12×	`unswap-sqr_binary64_1751`
11×	`pow-prod-up_binary64_1853` `add-exp-log_binary64_1821`
10×	`associate-l_binary64_1724`
9×	`swap-sqr_binary64_1750`
7×	`pow-prod-down_binary64_1854` `pow-plus_binary64_1846`
5×	`add-cbrt-cube_binary64_1819` `pow-sqr_binary64_1756`
4×	`prod-exp_binary64_1832` `add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816`
3×	`pow2_binary64_1864`
2×	`*-commutative_binary64_1714`
1×	`pow3_binary64_1866` `rem-3cbrt-lft_binary64_1808`

Counts

4 → 116

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))))) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))))
10.0ms	(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

Compiler

Compiled 10574 to 7000 computations (33.8% saved)

series1.4s (11.8%)

Error

0.4b

Counts

4 → 12

Calls

4 calls:

416.0ms	(.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))))
350.0ms	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))))) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))))
330.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
326.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

Compiler

Compiled 2107 to 1555 computations (26.2% saved)

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4879	4262
1	4879	4262

prune396.0ms (3.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	128	5	133

Error

0.4b

Counts

133 → 5

Compiler

Compiled 6421 to 4275 computations (33.4% saved)

regimes2.6s (21.6%)

Accuracy

Total 0.0b remaining (1.7%)

Threshold costs 0.0b (1.7%)

Compiler

Compiled 43169 to 29575 computations (31.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	28
1	64	28

end2.0ms (0%)

Compiler: Compiled 18 to 15 computations (16.7% saved)

sample2.3s (19.2%)

Algorithm

1×

intervals

Results

1.2s	4030×	body	2048	valid
416.0ms	1997×	body	1024	valid
152.0ms	1009×	body	512	valid
42.0ms	430×	body	256	valid
29.0ms	534×	body	128	valid
0.0ms	6×	body	128	nan

Compiler

Compiled 305 to 216 computations (29.2% saved)

Details

analyze1.0s (8.3%)

sample71.0ms (0.6%)

simplify72.0ms (0.6%)

prune5.0ms (0%)

localize7.0ms (0.1%)

rewrite60.0ms (0.5%)

series78.0ms (0.6%)

simplify53.0ms (0.4%)

prune45.0ms (0.4%)

localize14.0ms (0.1%)

rewrite266.0ms (2.2%)

series1.4s (11.5%)

simplify76.0ms (0.6%)

prune161.0ms (1.3%)

localize20.0ms (0.2%)

rewrite137.0ms (1.1%)

series725.0ms (6%)

simplify66.0ms (0.5%)

prune142.0ms (1.2%)

localize29.0ms (0.2%)

rewrite808.0ms (6.6%)

series1.4s (11.8%)

simplify110.0ms (0.9%)

prune396.0ms (3.3%)

regimes2.6s (21.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end2.0ms (0%)

sample2.3s (19.2%)

Profiling