Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample21.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4899	19
1	4899	19

prune2.0ms

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

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 2.30753 (*.f64 x 0.27061))
0.0b	(.f64 0.70711 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) x))
0.1b	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
14.2b	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
9×	`associate-r_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
4×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `*-commutative_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 89

Calls

4 calls:

3.0ms	(+.f64 2.30753 (*.f64 x 0.27061))
14.0ms	(.f64 0.70711 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) x))
6.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
7.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))

series31.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+.f64 2.30753 (*.f64 x 0.27061))
10.0ms	(.f64 0.70711 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) x))
8.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
6.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4980	1616
1	4980	1616

prune117.0ms

Filtered

74 candidates to 101 candidates (-36.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
0.1b	(pow.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) 3)
14.2b	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
19.9b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) 3))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
45×	`times-frac_binary64`
44×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
36×	`cbrt-prod_binary64`
30×	`unpow-prod-down_binary64` `cube-prod_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-/r/_binary64`
7×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
5×	`div-inv_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `associate-r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `pow-prod-down_binary64` `rem-cbrt-cube_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `pow-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

4 → 149

Calls

4 calls:

6.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
8.0ms	(pow.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) 3)
7.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
10.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) 3))

series27.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
7.0ms	(pow.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) 3)
6.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
6.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) 3))

simplify44.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5036	3519

prune156.0ms

Filtered

91 candidates to 161 candidates (-76.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	161	3	164

Merged error: 0b

Counts

164 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
0.1b	(pow.f64 (.f64 0.70711 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) x)) 3)
14.2b	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
19.9b	(cbrt.f64 (pow.f64 (.f64 0.70711 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) x)) 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64` `times-frac_binary64`
8×	`cbrt-prod_binary64`
6×	`associate-*r/_binary64`
4×	`add-log-exp_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `associate-/r_binary64` `associate-r_binary64` `associate-l_binary64` `associate-/l_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 96

Calls

4 calls:

6.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
14.0ms	(pow.f64 (.f64 0.70711 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) x)) 3)
7.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
3.0ms	(cbrt.f64 (pow.f64 (.f64 0.70711 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) x)) 3))

series35.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
11.0ms	(pow.f64 (.f64 0.70711 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) x)) 3)
6.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
10.0ms	(cbrt.f64 (pow.f64 (.f64 0.70711 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) x)) 3))

simplify35.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5598	2099

prune159.0ms

Filtered

78 candidates to 108 candidates (-38.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	108	3	111

Merged error: 0b

Counts

111 → 3

regimes81.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	19
1	33	19

end0.0ms

sample479.0ms

Algorithm

intervals

Results

380.0ms

8000×

body

valid

Details

analyze4.0ms

sample21.0ms

simplify77.0ms

prune2.0ms

localize11.0ms

rewrite32.0ms

series31.0ms

simplify59.0ms

prune117.0ms

localize15.0ms

rewrite37.0ms

series27.0ms

simplify44.0ms

prune156.0ms

localize16.0ms

rewrite32.0ms

series35.0ms

simplify35.0ms

prune159.0ms

regimes81.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample479.0ms

Profiling