Details

sample97.0ms

Algorithm

intervals

Results

27.0ms	49×	body	1280	valid
21.0ms	38×	body	10240	exit
13.0ms	48×	body	640	valid
7.0ms	127×	body	80	valid
3.0ms	19×	body	320	valid
2.0ms	72×	body	80	nan
2.0ms	1×	body	2560	valid
1.0ms	8×	body	640	nan
1.0ms	12×	body	160	valid
1.0ms	3×	body	1280	nan
1.0ms	6×	body	320	nan
0.0ms	2×	body	160	nan

simplify229.0ms

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	710	7
9	1092	7
10	1240	7
11	1558	7
12	4191	7
13	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.0b	(+ (- 1.0 y) (* y (exp z)))
1.3b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite52.0ms

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))
23.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
13.0ms	(+ (- 1.0 y) (* y (exp z)))
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series279.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (exp z))
148.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
36.0ms	(+ (- 1.0 y) (* y (exp z)))
72.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify50.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5001	726

prune280.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1 (exp z)) y)
0.1b	(/ (log (- 1.0 (* (- 1 (exp z)) y))) t)
1.3b	(log (- 1.0 (* (- 1 (exp z)) y)))
3.0b	(- 1 (exp z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-l` `add-log-exp`
5×	`log-pow`
4×	`log-div` `flip3--` `flip--` `associate-/l*` `difference-of-squares`
3×	`log-prod` `associate-r` `associate-/r*`
2×	`div-sub` `associate-*l/` `distribute-lft-out--`
1×	`cbrt-undiv` `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 → 85

Calls

4 calls:

16.0ms	(* (- 1 (exp z)) y)
7.0ms	(/ (log (- 1.0 (* (- 1 (exp z)) y))) t)
2.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
3.0ms	(- 1 (exp z))

series222.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (- 1 (exp z)) y)
117.0ms	(/ (log (- 1.0 (* (- 1 (exp z)) y))) t)
54.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
13.0ms	(- 1 (exp z))

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	450	786
1	1808	729
2	5001	725

prune289.0ms

Filtered

97 candidates to 70 candidates (72.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.4b	(log (cbrt (- 1.0 (* (- 1 (exp z)) y))))
1.4b	(log (cbrt (- 1.0 (* (- 1 (exp z)) y))))
3.0b	(- 1 (exp z))
3.0b	(- 1 (exp z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`log-prod`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1` `add-exp-log` `cbrt-prod`
4×	`log-div` `cbrt-div` `flip3--` `log-pow` `add-cbrt-cube` `flip--` `difference-of-squares`
2×	`sub-neg` `pow1/3` `diff-log` `rem-log-exp` `distribute-lft-out--`

Counts

4 → 66

Calls

4 calls:

2.0ms	(log (cbrt (- 1.0 (* (- 1 (exp z)) y))))
2.0ms	(log (cbrt (- 1.0 (* (- 1 (exp z)) y))))
3.0ms	(- 1 (exp z))
3.0ms	(- 1 (exp z))

series262.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(log (cbrt (- 1.0 (* (- 1 (exp z)) y))))
121.0ms	(log (cbrt (- 1.0 (* (- 1 (exp z)) y))))
13.0ms	(- 1 (exp z))
14.0ms	(- 1 (exp z))

simplify38.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	290	666
1	1059	608
2	5001	596

prune327.0ms

Filtered

78 candidates to 58 candidates (74.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.3b	(log (- 1.0 (* (- 1 (exp z)) y)))
1.3b	(log (- 1.0 (* (- 1 (exp z)) y)))
3.0b	(- 1 (exp z))
3.0b	(- 1 (exp z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

2.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
2.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
3.0ms	(- 1 (exp z))
3.0ms	(- 1 (exp z))

series147.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
60.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
13.0ms	(- 1 (exp z))
13.0ms	(- 1 (exp z))

simplify147.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	259	520
1	1018	472
2	4986	460
3	5001	460

prune266.0ms

Filtered

70 candidates to 52 candidates (74.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.0b

regimes293.0ms

Accuracy

59.9% (4.1b remaining)

Error of 8.7b against oracle of 4.6b and baseline of 14.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	29
1	44	29

end0.0ms

sample3.1s

Algorithm

intervals

Results

752.0ms	1532×	body	10240	exit
743.0ms	1428×	body	1280	valid
461.0ms	1608×	body	640	valid
205.0ms	3487×	body	80	valid
167.0ms	929×	body	320	valid
104.0ms	83×	body	2560	valid
86.0ms	2458×	body	80	nan
55.0ms	494×	body	160	valid
49.0ms	254×	body	640	nan
33.0ms	115×	body	1280	nan
20.0ms	161×	body	320	nan
9.0ms	107×	body	160	nan