Details

analyze282.0ms (1.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4978	80
1	4978	80
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
0%	99.9%	0.1%	3
0%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample28.0ms (0.2%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4990	40
1	4990	40

prune7.0ms (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

0.5b

Counts

2 → 2

Compiler

Compiled 80 to 61 computations (23.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.3b	(*.f64 PI.f64 t)
0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.5b	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

rewrite292.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

30×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
18×	`associate-*r/_binary64_1725`
16×	`pow1_binary64_1844`
13×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `add-sqr-sqrt_binary64_1805`
10×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
8×	`flip3--_binary64_1787` `sqrt-div_binary64_1800` `flip--_binary64_1758` `associate-r_binary64_1723` `associate-/r/_binary64_1729`
7×	`pow-prod-down_binary64_1854` `associate-l_binary64_1724`
4×	`add-log-exp_binary64_1822` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-times_binary64_1793`
3×	`-commutative_binary64_1714` `times-frac_binary64_1789` `associate-/l_binary64_1728`
2×	`associate-/l/_binary64_1730` `associate-*l/_binary64_1726` `unswap-sqr_binary64_1751`
1×	`sqrt-prod_binary64_1799` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r*_binary64_1727`

Counts

4 → 94

Calls

4 calls:

20.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
10.0ms	(.f64 5 (.f64 v v))
10.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
4.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 3847 to 2282 computations (40.7% saved)

series854.0ms (5%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

506.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
214.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
45.0ms	(.f64 5 (.f64 v v))
29.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 1918 to 1513 computations (21.1% saved)

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4963	3150
1	4963	3150

prune248.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	108	10	118
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	110	10	120

Error

0.1b

Counts

120 → 10

Compiler

Compiled 4476 to 2792 computations (37.6% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 5)
0.3b	(*.f64 t PI.f64)
0.3b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27)))) (.f64 (*.f64 t PI.f64) (-.f64 1 (pow.f64 v 6)))))
0.5b	(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27)))) (.f64 (*.f64 t PI.f64) (-.f64 1 (pow.f64 v 6))))

rewrite886.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
32×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
28×	`associate-*r/_binary64_1725` `cancel-sign-sub-inv_binary64_1749`
21×	`add-sqr-sqrt_binary64_1805`
20×	`pow1_binary64_1844`
18×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
16×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
13×	`flip3--_binary64_1787` `flip--_binary64_1758`
12×	`sqrt-div_binary64_1800` `unpow-prod-down_binary64_1862`
10×	`pow-prod-down_binary64_1854`
8×	`frac-times_binary64_1793` `associate-l_binary64_1724` `associate-/r/_binary64_1729`
7×	`associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822` `sub-neg_binary64_1776` `sqr-pow_binary64_1755` `associate-*l/_binary64_1726` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
3×	`-commutative_binary64_1714` `times-frac_binary64_1789` `associate-/l_binary64_1728`
2×	`associate-/l/_binary64_1730` `unswap-sqr_binary64_1751`
1×	`sqrt-prod_binary64_1799` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r*_binary64_1727`

Counts

4 → 135

Calls

4 calls:

26.0ms	(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27)))) (.f64 (*.f64 t PI.f64) (-.f64 1 (pow.f64 v 6))))
22.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27)))) (.f64 (*.f64 t PI.f64) (-.f64 1 (pow.f64 v 6)))))
6.0ms	(.f64 (.f64 v v) 5)
4.0ms	(*.f64 t PI.f64)

Compiler

Compiled 11794 to 7646 computations (35.2% saved)

series1.3s (7.8%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

588.0ms	(.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27)))) (.f64 (*.f64 t PI.f64) (-.f64 1 (pow.f64 v 6))))
584.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27)))) (.f64 (*.f64 t PI.f64) (-.f64 1 (pow.f64 v 6)))))
38.0ms	(.f64 (.f64 v v) 5)
36.0ms	(*.f64 t PI.f64)

Compiler

Compiled 4637 to 3196 computations (31.1% saved)

simplify126.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4965	5441
1	4965	5441

prune891.0ms (5.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	157	2	159
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	160	9	169

Error

0.0b

Counts

169 → 9

Compiler

Compiled 12982 to 8315 computations (35.9% saved)

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.3b	(*.f64 t PI.f64)
0.4b	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27))))) (.f64 (.f64 t PI.f64) (-.f64 1 (pow.f64 v 6))))
1.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27)))))

rewrite824.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

54×	`times-frac_binary64_1789`
35×	`add-sqr-sqrt_binary64_1805`
34×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
32×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
21×	`associate-/l*_binary64_1728`
11×	`pow1_binary64_1844`
10×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `sqrt-prod_binary64_1799` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
8×	`associate-*r/_binary64_1725` `associate-/r/_binary64_1729`
6×	`sqrt-div_binary64_1800` `associate-l_binary64_1724`
5×	`flip3--_binary64_1787` `flip--_binary64_1758` `associate-/r*_binary64_1727`
4×	`add-log-exp_binary64_1822` `div-inv_binary64_1780` `pow-prod-down_binary64_1854` `associate-r_binary64_1723`
3×	`div-sub_binary64_1788` `associate-/l/_binary64_1730`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714`

Counts

4 → 136

Calls

4 calls:

24.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27))))) (.f64 (.f64 t PI.f64) (-.f64 1 (pow.f64 v 6))))
9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27)))))
7.0ms	(*.f64 t PI.f64)
6.0ms	(.f64 5 (.f64 v v))

Compiler

Compiled 11732 to 7618 computations (35.1% saved)

series762.0ms (4.5%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

509.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27))))) (.f64 (.f64 t PI.f64) (-.f64 1 (pow.f64 v 6))))
110.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27)))))
42.0ms	(.f64 5 (.f64 v v))
39.0ms	(*.f64 t PI.f64)

Compiler

Compiled 3849 to 2674 computations (30.5% saved)

simplify137.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4939	5455
1	4939	5455

prune921.0ms (5.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	154	3	157
Fresh	4	3	7
Picked	0	1	1
Done	1	0	1
Total	159	7	166

Error

0.0b

Counts

166 → 7

Compiler

Compiled 13012 to 8413 computations (35.3% saved)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27))))) (.f64 (.f64 (*.f64 t (sqrt.f64 PI.f64)) (sqrt.f64 PI.f64)) (-.f64 1 (pow.f64 v 6))))
1.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27)))))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)

rewrite823.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

54×	`times-frac_binary64_1789`
38×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
33×	`add-sqr-sqrt_binary64_1805`
31×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
21×	`associate-/l*_binary64_1728`
16×	`sqrt-prod_binary64_1799`
13×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
12×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
8×	`associate-*r/_binary64_1725` `associate-/r/_binary64_1729`
6×	`pow1_binary64_1844` `sqrt-div_binary64_1800`
5×	`flip3--_binary64_1787` `flip--_binary64_1758` `associate-/r*_binary64_1727`
4×	`add-log-exp_binary64_1822` `div-inv_binary64_1780`
3×	`div-sub_binary64_1788` `associate-/l/_binary64_1730`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `frac-2neg_binary64_1794` `clear-num_binary64_1782`

Counts

4 → 129

Calls

4 calls:

35.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27))))) (.f64 (.f64 (*.f64 t (sqrt.f64 PI.f64)) (sqrt.f64 PI.f64)) (-.f64 1 (pow.f64 v 6))))
9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27)))))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 11890 to 7374 computations (38% saved)

series728.0ms (4.3%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

544.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27))))) (.f64 (.f64 (*.f64 t (sqrt.f64 PI.f64)) (sqrt.f64 PI.f64)) (-.f64 1 (pow.f64 v 6))))
130.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 6) 27)))))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 2627 to 1810 computations (31.1% saved)

simplify158.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4967	5467
1	4967	5467

prune712.0ms (4.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	144	7	151

Error

0.0b

Counts

151 → 7

Compiler

Compiled 11864 to 7496 computations (36.8% saved)

regimes1.7s (10.2%)

Accuracy

Total 0.4b remaining (96.6%)

Threshold costs 0.4b (96.6%)

Compiler

Compiled 27263 to 19459 computations (28.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	45
1	81	45

end0.0ms (0%)

sample5.0s (29.2%)

Algorithm

1×

intervals

Results

664.0ms	8000×	body	128	valid
0.0ms	6×	body	128	nan

Compiler

Compiled 5152 to 3686 computations (28.5% saved)

Details

analyze282.0ms (1.7%)

sample28.0ms (0.2%)

simplify59.0ms (0.3%)

prune7.0ms (0%)

localize15.0ms (0.1%)

rewrite292.0ms (1.7%)

series854.0ms (5%)

simplify94.0ms (0.6%)

prune248.0ms (1.5%)

localize42.0ms (0.2%)

rewrite886.0ms (5.2%)

series1.3s (7.8%)

simplify126.0ms (0.7%)

prune891.0ms (5.2%)

localize50.0ms (0.3%)

rewrite824.0ms (4.8%)

series762.0ms (4.5%)

simplify137.0ms (0.8%)

prune921.0ms (5.4%)

localize49.0ms (0.3%)

rewrite823.0ms (4.8%)

series728.0ms (4.3%)

simplify158.0ms (0.9%)

prune712.0ms (4.2%)

regimes1.7s (10.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.0s (29.2%)

Profiling