Details

sample58.0ms

Algorithm

intervals

Results

9.0ms	176×	body	80	valid
7.0ms	30×	body	1280	valid
6.0ms	31×	body	1280	nan
4.0ms	23×	body	640	valid
4.0ms	101×	body	80	nan
4.0ms	24×	body	640	nan
3.0ms	23×	body	320	valid
1.0ms	15×	body	160	nan
1.0ms	10×	body	320	nan
0.0ms	4×	body	160	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	29	6
2	41	6
3	60	6
4	78	6
5	94	6
6	109	6
7	139	6
8	214	6
9	279	6
10	279	6

prune3.0ms

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: 20.2b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
27×	`times-frac`
16×	`add-cube-cbrt` `difference-of-squares`
14×	`distribute-lft-out--`
6×	`add-exp-log` `log-prod`
5×	`associate-/r` `add-cbrt-cube` `associate-/l` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
2×	`log-div` `div-sub` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `log-pow` `div-inv` `associate--r-`

Counts

3 → 85

Calls

3 calls:

7.0ms	(/ (- x y) (- 1.0 y))
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series29.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/ (- x y) (- 1.0 y))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
12.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify37.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	404	711
1	1152	666
2	5001	659

prune169.0ms

Filtered

69 candidates to 94 candidates (-36.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	4	95

Merged error: 0.0b

Counts

95 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
3.6b	(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
14.2b	(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
37×	`cbrt-prod`
34×	`*-un-lft-identity`
15×	`difference-of-squares`
14×	`add-cube-cbrt` `cbrt-div`
12×	`pow1` `times-frac`
10×	`swap-sqr`
9×	`log-prod` `flip3--` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`add-exp-log` `pow1/3`
6×	`add-log-exp`
4×	`frac-times` `add-cbrt-cube` `unswap-sqr`
2×	`log-div` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `sub-neg` `pow-plus` `diff-log` `rem-log-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `associate--r-`

Counts

4 → 110

Calls

4 calls:

3.0ms	(cbrt (- 1.0 y))
10.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
39.0ms	(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
41.0ms	(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

series37.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (- 1.0 y))
7.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
13.0ms	(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
12.0ms	(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	530	1512
1	1685	1383
2	5001	1280

prune323.0ms

Filtered

89 candidates to 122 candidates (-37.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	122	4	126

Merged error: 0.0b

Counts

126 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.4b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
3.4b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
12×	`sqrt-prod`
8×	`pow1` `add-cube-cbrt` `add-log-exp` `difference-of-squares`
6×	`add-exp-log` `log-pow`
4×	`log-div` `flip3--` `times-frac` `sqrt-div` `add-cbrt-cube` `flip--` `distribute-lft-out--`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `rem-log-exp` `associate--r-`

Counts

4 → 76

Calls

4 calls:

14.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
15.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
14.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
15.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
16.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	225	852
1	527	780
2	2093	774
3	5001	766

prune210.0ms

Filtered

68 candidates to 88 candidates (-29.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	87	5	92

Merged error: 0.0b

Counts

92 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.3b	(log (exp (- 1.0 (/ (- x y) (- 1.0 y)))))
3.4b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
3.4b	(log (sqrt (log (exp (- 1.0 (/ (- x y) (- 1.0 y)))))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`log-prod`
20×	`log-pow`
19×	`*-un-lft-identity`
16×	`sqrt-prod`
12×	`exp-prod`
11×	`add-cube-cbrt`
10×	`pow1`
8×	`difference-of-squares`
6×	`add-exp-log` `add-log-exp`
4×	`times-frac` `add-cbrt-cube` `distribute-lft-out--`
3×	`log-div` `rem-log-exp` `exp-sum`
2×	`sub-neg` `flip3--` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `flip--` `associate--r-`
1×	`exp-diff` `diff-log`

Counts

4 → 84

Calls

4 calls:

13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms	(log (exp (- 1.0 (/ (- x y) (- 1.0 y)))))
15.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
15.0ms	(log (sqrt (log (exp (- 1.0 (/ (- x y) (- 1.0 y)))))))

series51.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
11.0ms	(log (exp (- 1.0 (/ (- x y) (- 1.0 y)))))
15.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
15.0ms	(log (sqrt (log (exp (- 1.0 (/ (- x y) (- 1.0 y)))))))

simplify63.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	301	875
1	696	800
2	2353	792
3	5003	780

prune221.0ms

Filtered

72 candidates to 96 candidates (-33.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	96	5	101

Merged error: 0b

Counts

101 → 5

regimes279.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 17.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	26
1	29	26

end0.0ms

sample1.4s

Algorithm

intervals

Results

274.0ms	5665×	body	80	valid
191.0ms	783×	body	1280	valid
144.0ms	797×	body	640	valid
135.0ms	734×	body	1280	nan
103.0ms	715×	body	640	nan
96.0ms	2755×	body	80	nan
64.0ms	496×	body	320	valid
51.0ms	457×	body	320	nan
22.0ms	259×	body	160	valid
17.0ms	248×	body	160	nan

Details

sample58.0ms

simplify16.0ms

prune3.0ms

localize8.0ms

rewrite36.0ms

series29.0ms

simplify37.0ms

prune169.0ms

localize11.0ms

rewrite97.0ms

series37.0ms

simplify54.0ms

prune323.0ms

localize10.0ms

rewrite59.0ms

series49.0ms

simplify63.0ms

prune210.0ms

localize15.0ms

rewrite60.0ms

series51.0ms

simplify63.0ms

prune221.0ms

regimes279.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling