Details

sample56.0ms

Algorithm

intervals

Results

14.0ms	31×	body	1280	valid
10.0ms	41×	body	640	valid
9.0ms	183×	body	80	valid
4.0ms	21×	body	320	valid
3.0ms	84×	body	80	nan
1.0ms	13×	body	160	valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (29.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	111	7
4	314	7
5	801	7
6	4217	6
7	5001	6

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
8.9b	(log (/ y (+ z y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `exp-to-pow` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 171

Calls

4 calls:

11.0ms	(/ y (+ z y))
16.0ms	(exp (* y (log (/ y (+ z y)))))
22.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ y (+ z y))
202.0ms	(exp (* y (log (/ y (+ z y)))))
69.0ms	(* y (log (/ y (+ z y))))
47.0ms	(log (/ y (+ z y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	538	1275
1	2098	1187
2	5001	1177

prune362.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
0.0b	(/ y (+ z y))
0.3b	(pow (exp y) (log (/ y (+ z y))))
8.9b	(log (/ y (+ z y)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
36×	`log-prod` `times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-up`
11×	`distribute-lft-out`
9×	`add-exp-log`
7×	`pow1`
6×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `pow-unpow` `pow-pow` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u`
3×	`unpow-prod-down` `exp-prod` `fma-def` `div-inv` `associate-/l*`
2×	`log-div` `div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `sum-log` `pow-sub` `sqr-pow`

Counts

4 → 125

Calls

4 calls:

52.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
10.0ms	(/ y (+ z y))
10.0ms	(pow (exp y) (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
42.0ms	(/ y (+ z y))
130.0ms	(pow (exp y) (log (/ y (+ z y))))
49.0ms	(log (/ y (+ z y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	525	945
1	1814	900
2	5001	883

prune369.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (* -1 z)) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`pow1` `cbrt-undiv` `exp-neg` `expm1-log1p-u` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

9.0ms

(/ (exp (* -1 z)) y)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(/ (exp (* -1 z)) y)

simplify51.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	117	194
1	313	180
2	1514	177
3	5001	177

prune71.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

40.9% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.1b

bsearch43.0ms

Steps

Iters	Range		Point
10	1.6037472448008606e-27	1.1952581674532207e-17	1.1841663707457728e-17

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	11
1	23	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

349.0ms	797×	body	1280	valid
310.0ms	6562×	body	80	valid
244.0ms	951×	body	640	valid
98.0ms	3011×	body	80	nan
94.0ms	563×	body	320	valid
32.0ms	304×	body	160	valid