Details

analyze175.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5039	29
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 20 to 16 computations (20% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify82.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5039	29

prune3.0ms (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 → 1

Compiler

Compiled 38 to 30 computations (21.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.2b	(.f64 3 (.f64 v v))

rewrite282.0ms (7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64_1805`
26×	`associate-l_binary64_1724`
23×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `*-un-lft-identity_binary64_1783`
22×	`add-cube-cbrt_binary64_1818` `times-frac_binary64_1789`
20×	`sqrt-prod_binary64_1799`
18×	`sqrt-div_binary64_1800` `frac-times_binary64_1793`
17×	`pow1_binary64_1844`
15×	`flip3--_binary64_1787` `flip--_binary64_1758`
12×	`associate-r_binary64_1723`
10×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-*r/_binary64_1725`
9×	`associate-*l/_binary64_1726`
7×	`pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`
4×	`add-log-exp_binary64_1822`
3×	`*-commutative_binary64_1714`
2×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `sub-neg_binary64_1776` `distribute-rgt-in_binary64_1733` `cancel-sign-sub-inv_binary64_1749` `distribute-lft-in_binary64_1732` `difference-of-squares_binary64_1752`
1×	`div-inv_binary64_1780` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

4 → 129

Calls

4 calls:

14.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
12.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
6.0ms	(.f64 3 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

Compiler

Compiled 4142 to 2935 computations (29.1% saved)

series206.0ms (5.1%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

64.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
56.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
30.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
29.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 997 to 869 computations (12.8% saved)

simplify100.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4922	3598
1	4922	3598

prune227.0ms (5.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	149	2	151

Error

Counts

151 → 2

Compiler

Compiled 3921 to 2883 computations (26.5% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.2b	(.f64 3 (.f64 v v))

rewrite302.0ms (7.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64_1805`
26×	`associate-l_binary64_1724`
23×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `*-un-lft-identity_binary64_1783`
22×	`add-cube-cbrt_binary64_1818` `times-frac_binary64_1789`
20×	`sqrt-prod_binary64_1799`
18×	`sqrt-div_binary64_1800` `frac-times_binary64_1793`
17×	`pow1_binary64_1844`
15×	`flip3--_binary64_1787` `flip--_binary64_1758`
12×	`associate-r_binary64_1723`
10×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-*r/_binary64_1725`
9×	`associate-*l/_binary64_1726`
7×	`pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`
4×	`add-log-exp_binary64_1822`
3×	`*-commutative_binary64_1714`
2×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `sub-neg_binary64_1776` `distribute-rgt-in_binary64_1733` `cancel-sign-sub-inv_binary64_1749` `distribute-lft-in_binary64_1732` `difference-of-squares_binary64_1752`
1×	`div-inv_binary64_1780` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

4 → 129

Calls

4 calls:

15.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
13.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
6.0ms	(.f64 3 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

Compiler

Compiled 4400 to 3193 computations (27.4% saved)

series202.0ms (5%)

Error

Counts

4 → 21

Calls

4 calls:

65.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
50.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
32.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
28.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 1099 to 971 computations (11.6% saved)

simplify101.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4922	3598
1	4922	3598

prune246.0ms (6.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	150	2	152

Error

Counts

152 → 2

Compiler

Compiled 4200 to 3166 computations (24.6% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.0b	(log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
0.2b	(.f64 3 (.f64 v v))

rewrite201.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`add-sqr-sqrt_binary64_1805`
25×	`associate-l_binary64_1724`
22×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `times-frac_binary64_1789`
20×	`sqrt-prod_binary64_1799`
14×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
13×	`pow1_binary64_1844`
7×	`unswap-sqr_binary64_1751` `associate-r_binary64_1723`
6×	`sqrt-div_binary64_1800`
5×	`prod-exp_binary64_1832` `add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816`
4×	`pow-prod-down_binary64_1854`
3×	`log-pow_binary64_1872` `log-prod_binary64_1869` `flip3--_binary64_1787` `flip--_binary64_1758`
2×	`-commutative_binary64_1714` `frac-times_binary64_1793` `associate-r/_binary64_1725`
1×	`exp-to-pow_binary64_1845` `exp-prod_binary64_1835` `rem-log-exp_binary64_1824` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-*l/_binary64_1726` `div-inv_binary64_1780` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

4 → 100

Calls

4 calls:

13.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
6.0ms	(.f64 3 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
2.0ms	(log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))

Compiler

Compiled 3116 to 2337 computations (25% saved)

series285.0ms (7%)

Error

Counts

4 → 21

Calls

4 calls:

149.0ms	(log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
50.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
31.0ms	(.f64 3 (.f64 v v))
28.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

Compiler

Compiled 1155 to 997 computations (13.7% saved)

simplify78.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5206	2357

prune181.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	121	2	123

Error

Counts

123 → 2

Compiler

Compiled 3236 to 2434 computations (24.8% saved)

regimes140.0ms (3.5%)

Accuracy

Total 0.0b remaining (97.7%)

Threshold costs 0.0b (97.7%)

Compiler

Compiled 1768 to 1473 computations (16.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	33
1	56	33

end0.0ms (0%)

sample1.2s (29%)

Algorithm

1×

intervals

Results

404.0ms	8000×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 615 to 513 computations (16.6% saved)

Details

analyze175.0ms (4.3%)

sample21.0ms (0.5%)

simplify82.0ms (2%)

prune3.0ms (0.1%)

localize11.0ms (0.3%)

rewrite282.0ms (7%)

series206.0ms (5.1%)

simplify100.0ms (2.5%)

prune227.0ms (5.6%)

localize14.0ms (0.4%)

rewrite302.0ms (7.5%)

series202.0ms (5%)

simplify101.0ms (2.5%)

prune246.0ms (6.1%)

localize14.0ms (0.3%)

rewrite201.0ms (5%)

series285.0ms (7%)

simplify78.0ms (1.9%)

prune181.0ms (4.5%)

regimes140.0ms (3.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (29%)

Profiling