Details

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 5.540729%

Guaranteed chance to sample good point: 18.307012%

Results

20.0ms	33×	body	1280	valid
16.0ms	49×	body	640	valid
9.0ms	127×	body	80	valid
6.0ms	28×	body	320	valid
5.0ms	3×	body	2560	valid
3.0ms	59×	body	80	nan
2.0ms	45×	body	80	overflowed
2.0ms	9×	body	640	nan
2.0ms	16×	body	160	valid
1.0ms	3×	body	1280	nan
1.0ms	6×	body	320	nan
1.0ms	7×	body	160	nan

simplify216.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	33	7
2	49	7
3	71	7
4	93	7
5	180	7
6	232	7
7	411	7
8	628	7
9	935	7
10	1028	7
11	1354	7
12	3968	7
13	5002	7

prune4.0ms

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: 22.4b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.6b	(log (+ (- 1.0 y) (* y (exp z))))
2.7b	(+ (- 1.0 y) (* y (exp z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* y (exp z))
11.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
6.0ms	(log (+ (- 1.0 y) (* y (exp z))))
6.0ms	(+ (- 1.0 y) (* y (exp z)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
41.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
14.0ms	(log (+ (- 1.0 y) (* y (exp z))))
8.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5002	726

prune169.0ms

Filtered

68 candidates to 92 candidates (-35.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	5	93

Merged error: 3.6b

Counts

93 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.6b	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
11.8b	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`log-prod`
2×	`log-div` `associate-+l+` `flip3-+` `pow1/3` `sum-log` `flip-+`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
8.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

series74.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
23.0ms	(cbrt y)
17.0ms	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
11.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

simplify37.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	301	626
1	1026	546
2	5001	493

prune103.0ms

Filtered

48 candidates to 63 candidates (-31.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	63	5	68

Merged error: 3.6b

Counts

68 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(* (log (+ (- 1.0 y) (* y (exp z)))) (/ 1 t))
1.6b	(log (+ (- 1.0 y) (* y (exp z))))
2.7b	(+ (- 1.0 y) (* y (exp z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
16×	`-un-lft-identity` `associate-r*`
15×	`add-exp-log` `add-cube-cbrt`
11×	`times-frac` `add-cbrt-cube`
10×	`pow1`
9×	`add-log-exp`
7×	`associate-l`
5×	`prod-exp`
4×	`unswap-sqr`
3×	`log-prod` `cbrt-unprod`
2×	`log-div` `associate-+l+` `flip3-+` `div-exp` `pow-prod-down` `sum-log` `log-pow` `*-commutative` `flip-+`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `rec-exp` `diff-log` `1-exp` `associate-*r/` `rem-log-exp` `un-div-inv` `div-inv`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* y (exp z))
8.0ms	(* (log (+ (- 1.0 y) (* y (exp z)))) (/ 1 t))
7.0ms	(log (+ (- 1.0 y) (* y (exp z))))
6.0ms	(+ (- 1.0 y) (* y (exp z)))

series68.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
41.0ms	(* (log (+ (- 1.0 y) (* y (exp z)))) (/ 1 t))
14.0ms	(log (+ (- 1.0 y) (* y (exp z))))
7.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	540	788
1	2291	698
2	5001	686

prune150.0ms

Filtered

69 candidates to 96 candidates (-39.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	94	7	101

Merged error: 3.5b

Counts

101 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.6b	(log (+ (- 1.0 y) (* y (exp z))))
2.7b	(+ (- 1.0 y) (* y (exp z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`log-prod`
2×	`log-div` `associate-+l+` `flip3-+` `pow1/3` `sum-log` `flip-+`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
5.0ms	(log (+ (- 1.0 y) (* y (exp z))))
6.0ms	(+ (- 1.0 y) (* y (exp z)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt t)
23.0ms	(cbrt t)
17.0ms	(log (+ (- 1.0 y) (* y (exp z))))
7.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify100.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	300	401
1	941	363
2	4243	339
3	5001	337

prune90.0ms

Filtered

49 candidates to 63 candidates (-28.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	61	9	70

Merged error: 3.5b

Counts

70 → 9

regimes819.0ms

Accuracy

77.3% (3.8b remaining)

Error of 8.1b against oracle of 4.3b and baseline of 21.2b

bsearch172.0ms

Steps

Iters	Range		Point
8	7.805410262174268e-103	1.4033506215986678e-99	7.254336228361472e-100
9	-4.012746694129724e-70	-1.3845813022347413e-79	-9.114988490469779e-74
10	-7091.92474667483	-5.993064442140749e-12	-8.88975956992353e-06

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	38
1	62	38

end0.0ms

sample4.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 5.540729%

Guaranteed chance to sample good point: 18.307012%

Results

856.0ms	1452×	body	1280	valid
544.0ms	1589×	body	640	valid
249.0ms	3534×	body	80	valid
199.0ms	913×	body	320	valid
117.0ms	88×	body	2560	valid
87.0ms	1793×	body	80	nan
83.0ms	1503×	body	80	overflowed
73.0ms	262×	body	640	nan
61.0ms	454×	body	160	valid
42.0ms	118×	body	1280	nan
32.0ms	191×	body	320	nan
12.0ms	112×	body	160	nan

Details

sample1.2s

simplify216.0ms

prune4.0ms

localize11.0ms

rewrite30.0ms

series69.0ms

simplify50.0ms

prune169.0ms

localize17.0ms

rewrite19.0ms

series74.0ms

simplify37.0ms

prune103.0ms

localize11.0ms

rewrite28.0ms

series68.0ms

simplify60.0ms

prune150.0ms

localize14.0ms

rewrite15.0ms

series70.0ms

simplify100.0ms

prune90.0ms

regimes819.0ms

bsearch172.0ms

simplify2.0ms

end0.0ms

sample4.2s

Profiling