Details

analyze993.0ms (14%)

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)

sample68.0ms (1%)

Algorithm

1×

intervals

Results

37.0ms	131×	body	2048	valid
14.0ms	56×	body	1024	valid
5.0ms	34×	body	512	valid
1.0ms	16×	body	256	valid
1.0ms	19×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

prune3.0ms (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

0.6b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite160.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

20×	`add-sqr-sqrt_binary64_1805`
19×	`*-un-lft-identity_binary64_1783`
18×	`times-frac_binary64_1789`
15×	`add-cube-cbrt_binary64_1818`
10×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
8×	`pow1_binary64_1844` `difference-of-squares_binary64_1752`
6×	`associate-/r*_binary64_1727`
4×	`difference-of-sqr-1_binary64_1753`
3×	`add-log-exp_binary64_1822` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724` `associate-/l*_binary64_1728`
2×	`flip3--_binary64_1787` `associate-/l/_binary64_1730` `flip--_binary64_1758` `associate-/r/_binary64_1729`
1×	`acos-asin_binary64_1964` `unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780`

Counts

3 → 71

Calls

3 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
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 1581 to 991 computations (37.3% saved)

series126.0ms (1.8%)

Error

0.6b

Counts

3 → 12

Calls

3 calls:

46.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
37.0ms	(.f64 5 (.f64 v v))
34.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 312 to 284 computations (9% saved)

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4931	1785
1	4931	1785

prune115.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	3	84

Error

0.6b

Counts

84 → 3

Compiler

Compiled 1343 to 860 computations (36% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite186.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

22×	`add-sqr-sqrt_binary64_1805`
21×	`*-un-lft-identity_binary64_1783`
18×	`times-frac_binary64_1789`
17×	`add-cube-cbrt_binary64_1818`
12×	`add-exp-log_binary64_1821`
11×	`add-cbrt-cube_binary64_1819`
10×	`pow1_binary64_1844`
8×	`difference-of-squares_binary64_1752`
6×	`associate-/r*_binary64_1727`
4×	`add-log-exp_binary64_1822` `difference-of-sqr-1_binary64_1753`
3×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724` `associate-/l*_binary64_1728` `log-prod_binary64_1869`
2×	`flip3--_binary64_1787` `associate-/l/_binary64_1730` `flip--_binary64_1758` `associate-/r/_binary64_1729`
1×	`acos-asin_binary64_1964` `unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `log-pow_binary64_1872` `rem-log-exp_binary64_1824`

Counts

4 → 83

Calls

4 calls:

10.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(log.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)))

Compiler

Compiled 2014 to 1316 computations (34.7% saved)

series355.0ms (5%)

Error

0.6b

Counts

4 → 15

Calls

4 calls:

226.0ms	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
46.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
38.0ms	(.f64 5 (.f64 v v))
34.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 462 to 428 computations (7.4% saved)

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4922	2205
1	4922	2205

prune145.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	97	4	101

Error

0.6b

Counts

101 → 4

Compiler

Compiled 1743 to 1164 computations (33.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (log.f64 (acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))))
0.0b	(log.f64 (acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4))))
0.0b	(.f64 (.f64 v v) 4)
0.6b	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

rewrite117.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

11×	`pow1_binary64_1844`
10×	`add-exp-log_binary64_1821`
9×	`add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`log-prod_binary64_1869`
4×	`add-log-exp_binary64_1822` `exp-prod_binary64_1835`
3×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-r_binary64_1723` `exp-sum_binary64_1829`
2×	`log-pow_binary64_1872`
1×	`acos-asin_binary64_1964` `unswap-sqr_binary64_1751` `associate-l_binary64_1724` `*-commutative_binary64_1714` `rem-log-exp_binary64_1824` `rem-exp-log_binary64_1823`

Counts

4 → 54

Calls

4 calls:

6.0ms	(.f64 (.f64 v v) 4)
2.0ms	(exp.f64 (log.f64 (acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))))
1.0ms	(log.f64 (acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4))))
1.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

Compiler

Compiled 878 to 639 computations (27.2% saved)

series389.0ms (5.5%)

Error

0.6b

Counts

4 → 12

Calls

4 calls:

169.0ms	(exp.f64 (log.f64 (acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))))
160.0ms	(log.f64 (acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4))))
34.0ms	(.f64 (.f64 v v) 4)
21.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

Compiler

Compiled 260 to 259 computations (0.4% saved)

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5684	860

prune92.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	66	4	70

Error

0.6b

Counts

70 → 4

Compiler

Compiled 741 to 547 computations (26.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))
1.0b	(cbrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0b	(cbrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0b	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))) 2)

rewrite103.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

9×	`add-cube-cbrt_binary64_1818` `cbrt-prod_binary64_1814` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
6×	`unpow-prod-down_binary64_1862`
5×	`pow1_binary64_1844` `add-exp-log_binary64_1821`
4×	`add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819`
3×	`pow-unpow_binary64_1860` `pow1/3_binary64_1865`
2×	`pow-pow_binary64_1855`
1×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `acos-asin_binary64_1964`

Counts

4 → 52

Calls

4 calls:

3.0ms	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))) 2)
2.0ms	(acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))
1.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))

Compiler

Compiled 1475 to 1087 computations (26.3% saved)

series691.0ms (9.8%)

Error

0.6b

Counts

4 → 12

Calls

4 calls:

271.0ms	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))) 2)
198.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
192.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
24.0ms	(acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1))

Compiler

Compiled 609 to 547 computations (10.2% saved)

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5138	1077

prune66.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	64	4	68

Error

0.6b

Counts

68 → 4

Compiler

Compiled 1063 to 783 computations (26.3% saved)

regimes860.0ms (12.2%)

Accuracy

Total 0.0b remaining (1.3%)

Threshold costs 0.0b (1.3%)

Compiler

Compiled 10570 to 8268 computations (21.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	25
1	44	25

end1.0ms (0%)

Compiler: Compiled 16 to 12 computations (25% saved)

sample2.2s (31.1%)

Algorithm

1×

intervals

Results

1.1s	3958×	body	2048	valid
404.0ms	1993×	body	1024	valid
141.0ms	997×	body	512	valid
50.0ms	522×	body	256	valid
30.0ms	530×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 144 to 118 computations (18.1% saved)

Details

analyze993.0ms (14%)

sample68.0ms (1%)

simplify71.0ms (1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite160.0ms (2.3%)

series126.0ms (1.8%)

simplify72.0ms (1%)

prune115.0ms (1.6%)

localize11.0ms (0.2%)

rewrite186.0ms (2.6%)

series355.0ms (5%)

simplify79.0ms (1.1%)

prune145.0ms (2.1%)

localize11.0ms (0.2%)

rewrite117.0ms (1.7%)

series389.0ms (5.5%)

simplify75.0ms (1.1%)

prune92.0ms (1.3%)

localize11.0ms (0.2%)

rewrite103.0ms (1.5%)

series691.0ms (9.8%)

simplify62.0ms (0.9%)

prune66.0ms (0.9%)

regimes860.0ms (12.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample2.2s (31.1%)

Profiling