Details

analyze682.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
31.2%	68.7%	0.1%	5
31.2%	59.3%	9.5%	6
34.3%	54.6%	11%	7
34.3%	49.2%	16.5%	8
35.9%	46.4%	17.7%	9
35.9%	42.1%	22%	10
36.7%	40.6%	22.7%	11
36.7%	39.1%	24.2%	12
37.1%	38.3%	24.7%	13
37.1%	36.7%	26.2%	14

sample292.0ms

Algorithm

intervals

Results

201.0ms	152×	body	5120	exit
32.0ms	74×	body	1280	nan
18.0ms	256×	body	80	valid
17.0ms	62×	body	640	nan
5.0ms	30×	body	320	nan
1.0ms	13×	body	160	nan
0.0ms	5×	body	80	overflowed
0.0ms	5×	body	80	invalid
0.0ms	5×	body	80	nan

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4891	7
1	4891	7

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.4b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (exp (neg w)) (pow l (exp w)))
0.4b	(pow l (exp w))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `unpow-prod-down` `-un-lft-identity` `associate-r*`
5×	`add-exp-log`
4×	`add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-l` `prod-exp` `unswap-sqr` `sqr-pow`
2×	`pow-to-exp` `associate-*l/` `pow-exp` `add-log-exp`
1×	`neg-sub0` `exp-neg` `pow-pow` `exp-diff` `*-commutative` `cbrt-unprod`

Counts

2 → 44

Calls

2 calls:

8.0ms	(* (exp (neg w)) (pow l (exp w)))
2.0ms	(pow l (exp w))

series40.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* (exp (neg w)) (pow l (exp w)))
19.0ms	(pow l (exp w))

simplify50.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5150	472

prune84.0ms

Filtered

33 candidates to 50 candidates (-51.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	41	9	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	43	9	52

Merged error: 0.2b

Counts

52 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp (neg w)))
0.0b	(* (* (cbrt (exp (neg w))) (cbrt (exp (neg w)))) (* (pow l (exp w)) (cbrt (exp (neg w)))))
0.0b	(* (cbrt (exp (neg w))) (cbrt (exp (neg w))))
0.4b	(pow l (exp w))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

68×	`cbrt-div`
34×	`neg-sub0` `exp-neg` `exp-diff`
32×	`frac-times`
31×	`add-exp-log`
28×	`associate-*r/`
23×	`add-sqr-sqrt`
19×	`cbrt-prod` `prod-exp`
17×	`pow1`
16×	`associate-*l/`
15×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`cbrt-unprod`
7×	`pow1/3` `associate-r` `associate-l`
6×	`swap-sqr`
5×	`pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow` `pow-exp`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-pow` `pow-plus` `sqr-pow`

Counts

4 → 128

Calls

4 calls:

3.0ms	(cbrt (exp (neg w)))
13.0ms	(* (* (cbrt (exp (neg w))) (cbrt (exp (neg w)))) (* (pow l (exp w)) (cbrt (exp (neg w)))))
7.0ms	(* (cbrt (exp (neg w))) (cbrt (exp (neg w))))
2.0ms	(pow l (exp w))

series74.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt (exp (neg w)))
24.0ms	(* (* (cbrt (exp (neg w))) (cbrt (exp (neg w)))) (* (pow l (exp w)) (cbrt (exp (neg w)))))
20.0ms	(* (cbrt (exp (neg w))) (cbrt (exp (neg w))))
15.0ms	(pow l (exp w))

simplify49.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5701	1157

prune148.0ms

Filtered

69 candidates to 140 candidates (-102.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	135	5	140
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	139	10	149

Merged error: 0.2b

Counts

149 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp (neg w)))
0.0b	(* (* (pow (sqrt (pow (exp w) -1/3)) 3) (sqrt (cbrt (exp (neg w))))) (* (pow l (exp w)) (cbrt (exp (neg w)))))
0.0b	(pow (sqrt (pow (exp w) -1/3)) 3)
0.4b	(pow l (exp w))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log`
40×	`prod-exp`
19×	`unpow-prod-down`
15×	`add-cbrt-cube`
14×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `-un-lft-identity` `associate-r/` `sqrt-prod`
10×	`pow-to-exp` `cube-prod` `pow-exp`
8×	`pow1` `cbrt-unprod`
7×	`neg-sub0` `exp-neg` `exp-diff`
6×	`pow-unpow` `sqrt-div`
4×	`frac-times` `pow-pow` `add-log-exp` `sqr-pow`
3×	`cbrt-prod`
2×	`associate-*l/`
1×	`cube-mult` `sqrt-pow1` `pow1/2` `pow1/3` `unpow3` `associate-r` `associate-l` `pow-prod-down` `*-commutative` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 109

Calls

4 calls:

3.0ms	(cbrt (exp (neg w)))
15.0ms	(* (* (pow (sqrt (pow (exp w) -1/3)) 3) (sqrt (cbrt (exp (neg w))))) (* (pow l (exp w)) (cbrt (exp (neg w)))))
4.0ms	(pow (sqrt (pow (exp w) -1/3)) 3)
2.0ms	(pow l (exp w))

series84.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt (exp (neg w)))
30.0ms	(* (* (pow (sqrt (pow (exp w) -1/3)) 3) (sqrt (cbrt (exp (neg w))))) (* (pow l (exp w)) (cbrt (exp (neg w)))))
25.0ms	(pow (sqrt (pow (exp w) -1/3)) 3)
15.0ms	(pow l (exp w))

simplify80.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4898	1066
1	4898	1066

prune364.0ms

Filtered

61 candidates to 121 candidates (-98.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	121	10	131

Merged error: 0.2b

Counts

131 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (pow l (exp w)) (pow (sqrt (pow (exp w) -1/3)) 5)) (sqrt (cbrt (exp w))))
0.0b	(cbrt (exp w))
0.1b	(pow (sqrt (pow (exp w) -1/3)) 5)
0.4b	(pow l (exp w))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
19×	`sqrt-prod`
17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`unpow-prod-down`
10×	`div-exp`
9×	`cbrt-prod` `times-frac` `prod-exp` `associate-/r*` `add-cbrt-cube`
8×	`pow-to-exp` `pow-exp`
6×	`pow1` `pow-unpow`
4×	`pow-pow` `add-log-exp`
3×	`sqr-pow`
2×	`cbrt-undiv`
1×	`frac-2neg` `sqrt-pow1` `pow1/2` `pow1/3` `clear-num` `sqrt-pow2` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 96

Calls

4 calls:

12.0ms	(/ (* (pow l (exp w)) (pow (sqrt (pow (exp w) -1/3)) 5)) (sqrt (cbrt (exp w))))
2.0ms	(cbrt (exp w))
4.0ms	(pow (sqrt (pow (exp w) -1/3)) 5)
2.0ms	(pow l (exp w))

series78.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (* (pow l (exp w)) (pow (sqrt (pow (exp w) -1/3)) 5)) (sqrt (cbrt (exp w))))
14.0ms	(cbrt (exp w))
26.0ms	(pow (sqrt (pow (exp w) -1/3)) 5)
15.0ms	(pow l (exp w))

simplify61.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4953	1354
1	4953	1354

prune146.0ms

Filtered

67 candidates to 108 candidates (-61.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	107	11	118

Merged error: 0.2b

Counts

118 → 11

regimes167.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	14	17

end0.0ms

sample8.6s

Algorithm

intervals

Results

5.9s	4578×	body	5120	exit
1.0s	2320×	body	1280	nan
524.0ms	1885×	body	640	nan
513.0ms	8000×	body	80	valid
190.0ms	1073×	body	320	nan
34.0ms	327×	body	160	nan
10.0ms	210×	body	80	nan
9.0ms	123×	body	80	overflowed
8.0ms	125×	body	80	invalid
6.0ms	3×	body	5120	nan
4.0ms	4×	body	2560	nan

Details

analyze682.0ms

sample292.0ms

simplify72.0ms

prune9.0ms

localize8.0ms

rewrite11.0ms

series40.0ms

simplify50.0ms

prune84.0ms

localize13.0ms

rewrite30.0ms

series74.0ms

simplify49.0ms

prune148.0ms

localize18.0ms

rewrite28.0ms

series84.0ms

simplify80.0ms

prune364.0ms

localize14.0ms

rewrite23.0ms

series78.0ms

simplify61.0ms

prune146.0ms

regimes167.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample8.6s

Profiling