Details

analyze165.0ms (0.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5512	47
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	12.5%	87.5%	2
0%	6.3%	93.7%	3
0%	3.1%	96.9%	4
0%	1.6%	98.4%	5
0%	0.8%	99.2%	6
0%	0.4%	99.6%	7
0%	0.2%	99.8%	8
0.1%	0.1%	99.8%	9
0.1%	0%	99.9%	10
0.1%	0%	99.9%	11
0.1%	0%	99.9%	12
0.1%	0%	99.9%	13
0.1%	0%	99.9%	14

Compiler

Compiled 106 to 71 computations (33% saved)

sample72.0ms (0.3%)

Algorithm

1×

intervals

Results

53.0ms	256×	body	128	valid
3.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 209 to 141 computations (32.5% saved)

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5512	47

prune9.0ms (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

2.8b

Counts

2 → 2

Compiler

Compiled 163 to 111 computations (31.9% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
0.4b	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 PI.f64)) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
1.0b	(sqrt.f64 PI.f64)
2.8b	(exp.f64 (*.f64 x x))

rewrite375.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

129×	`times-frac_binary64_1789`
84×	`add-sqr-sqrt_binary64_1805`
79×	`*-un-lft-identity_binary64_1783`
70×	`add-cube-cbrt_binary64_1818` `associate-l_binary64_1724`
31×	`sqrt-prod_binary64_1799`
18×	`add-cbrt-cube_binary64_1819`
17×	`add-exp-log_binary64_1821`
7×	`pow1_binary64_1844`
6×	`add-log-exp_binary64_1822`
5×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `div-inv_binary64_1780` `associate-r_binary64_1723` `distribute-lft-out_binary64_1734`
4×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `associate-/l*_binary64_1728`
3×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
2×	`frac-times_binary64_1793` `associate-*r/_binary64_1725` `associate-/l/_binary64_1730`
1×	`exp-to-pow_binary64_1845` `exp-prod_binary64_1835` `rem-exp-log_binary64_1823` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `pow-prod-down_binary64_1854` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-l/_binary64_1726` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/r*_binary64_1727`

Counts

4 → 149

Calls

4 calls:

42.0ms	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 PI.f64)) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
9.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
2.0ms	(exp.f64 (*.f64 x x))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 6804 to 2952 computations (56.6% saved)

series316.0ms (1.5%)

Error

2.7b

Counts

4 → 24

Calls

4 calls:

179.0ms	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 PI.f64)) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)))))
74.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
23.0ms	(exp.f64 (*.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1858 to 1391 computations (25.1% saved)

simplify141.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4943	6637
1	4943	6637

prune353.0ms (1.7%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	155	18	173
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	157	18	175

Error

0.8b

Counts

175 → 18

Compiler

Compiled 8000 to 3657 computations (54.3% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
0.4b	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 PI.f64)) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
1.0b	(sqrt.f64 PI.f64)
1.2b	(pow.f64 (exp.f64 x) x)

rewrite616.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

281×	`times-frac_binary64_1789`
167×	`add-sqr-sqrt_binary64_1805`
148×	`*-un-lft-identity_binary64_1783`
142×	`associate-l_binary64_1724`
139×	`add-cube-cbrt_binary64_1818`
69×	`sqrt-prod_binary64_1799`
59×	`unpow-prod-down_binary64_1862`
24×	`add-exp-log_binary64_1821`
21×	`sqr-pow_binary64_1755`
18×	`add-cbrt-cube_binary64_1819`
9×	`div-exp_binary64_1834`
8×	`pow1_binary64_1844` `unswap-sqr_binary64_1751`
6×	`prod-exp_binary64_1832`
5×	`cbrt-undiv_binary64_1817` `div-inv_binary64_1780` `associate-r_binary64_1723` `distribute-lft-out_binary64_1734`
4×	`pow-pow_binary64_1855` `add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816` `associate-/l*_binary64_1728`
3×	`pow-unpow_binary64_1860` `exp-prod_binary64_1835` `flip3-+_binary64_1786` `flip-+_binary64_1757`
2×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `frac-times_binary64_1793` `associate-*r/_binary64_1725` `associate-/l/_binary64_1730`
1×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `pow-prod-down_binary64_1854` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-l/_binary64_1726` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/r*_binary64_1727`

Counts

4 → 237

Calls

4 calls:

64.0ms	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 PI.f64)) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
9.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
4.0ms	(pow.f64 (exp.f64 x) x)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 11001 to 4719 computations (57.1% saved)

series336.0ms (1.6%)

Error

0.8b

Counts

4 → 24

Calls

4 calls:

195.0ms	(.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 PI.f64)) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
69.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
36.0ms	(pow.f64 (exp.f64 x) x)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1858 to 1267 computations (31.8% saved)

simplify113.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5039	11122

prune596.0ms (2.8%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	231	30	261
Fresh	15	2	17
Picked	1	0	1
Done	0	0	0
Total	247	32	279

Error

0.2b

Counts

279 → 32

Compiler

Compiled 13031 to 5893 computations (54.8% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
1.2b	(pow.f64 (exp.f64 x) x)

rewrite148.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

15×	`*-un-lft-identity_binary64_1783`
13×	`add-sqr-sqrt_binary64_1805`
11×	`add-cube-cbrt_binary64_1818`
9×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
7×	`pow1_binary64_1844`
6×	`sqrt-prod_binary64_1799`
4×	`pow-pow_binary64_1855` `add-log-exp_binary64_1822` `times-frac_binary64_1789` `associate-/l*_binary64_1728`
3×	`unpow-prod-down_binary64_1862` `pow-unpow_binary64_1860` `exp-prod_binary64_1835`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `distribute-lft-out_binary64_1734` `associate-/l/_binary64_1730`
1×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `sqr-pow_binary64_1755` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/r*_binary64_1727`

Counts

4 → 71

Calls

4 calls:

9.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
4.0ms	(pow.f64 (exp.f64 x) x)
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 3216 to 1625 computations (49.5% saved)

series138.0ms (0.6%)

Error

0.2b

Counts

4 → 12

Calls

4 calls:

80.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
39.0ms	(pow.f64 (exp.f64 x) x)
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1167 to 815 computations (30.2% saved)

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5015	956

prune210.0ms (1%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	30	31
Picked	0	1	1
Done	0	0	0
Total	83	32	115

Error

0.2b

Counts

115 → 32

Compiler

Compiled 5206 to 2766 computations (46.9% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.2b	(pow.f64 (exp.f64 x) x)
1.2b	(pow.f64 (exp.f64 x) x)
1.2b	(pow.f64 (exp.f64 x) x)
1.2b	(pow.f64 (exp.f64 x) x)

rewrite215.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

16×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783` `pow-pow_binary64_1855`
12×	`unpow-prod-down_binary64_1862` `pow-unpow_binary64_1860` `exp-prod_binary64_1835`
8×	`pow1_binary64_1844`
4×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `sqr-pow_binary64_1755`

Counts

4 → 80

Calls

4 calls:

4.0ms	(pow.f64 (exp.f64 x) x)
3.0ms	(pow.f64 (exp.f64 x) x)
3.0ms	(pow.f64 (exp.f64 x) x)
3.0ms	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 4960 to 2396 computations (51.7% saved)

series228.0ms (1.1%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

46.0ms	(pow.f64 (exp.f64 x) x)
44.0ms	(pow.f64 (exp.f64 x) x)
44.0ms	(pow.f64 (exp.f64 x) x)
43.0ms	(pow.f64 (exp.f64 x) x)

Compiler

Compiled 3336 to 1994 computations (40.2% saved)

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5177	940

prune261.0ms (1.2%)

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	0	30	30
Picked	0	1	1
Done	0	1	1
Total	102	34	136

Error

0.2b

Counts

136 → 34

Compiler

Compiled 6324 to 3142 computations (50.3% saved)

regimes3.3s (15.5%)

Accuracy

Total 1.1b remaining (88.1%)

Threshold costs 0b (0%)

Compiler

Compiled 52337 to 32295 computations (38.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	60
1	33	60

end0.0ms (0%)

sample13.3s (62.9%)

Algorithm

1×

intervals

Results

1.6s	8000×	body	128	valid
101.0ms	8132×	pre	128	true
25.0ms	132×	body	128	invalid

Compiler

Compiled 17518 to 10815 computations (38.3% saved)

Details

analyze165.0ms (0.8%)

sample72.0ms (0.3%)

simplify74.0ms (0.3%)

prune9.0ms (0%)

localize23.0ms (0.1%)

rewrite375.0ms (1.8%)

series316.0ms (1.5%)

simplify141.0ms (0.7%)

prune353.0ms (1.7%)

localize25.0ms (0.1%)

rewrite616.0ms (2.9%)

series336.0ms (1.6%)

simplify113.0ms (0.5%)

prune596.0ms (2.8%)

localize26.0ms (0.1%)

rewrite148.0ms (0.7%)

series138.0ms (0.6%)

simplify65.0ms (0.3%)

prune210.0ms (1%)

localize33.0ms (0.2%)

rewrite215.0ms (1%)

series228.0ms (1.1%)

simplify51.0ms (0.2%)

prune261.0ms (1.2%)

regimes3.3s (15.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample13.3s (62.9%)

Profiling