Details

sample50.0ms

Algorithm

intervals

Results

12.0ms	28×	body	1280	valid
10.0ms	205×	body	80	valid
9.0ms	34×	body	640	valid
3.0ms	93×	body	80	nan
2.0ms	11×	body	320	valid
1.0ms	11×	body	160	valid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	109	7
4	307	7
5	777	7
6	4145	7
7	5002	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
7.3b	(log (/ y (+ z y)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
206×	`*-un-lft-identity`
198×	`log-prod`
144×	`exp-sum`
140×	`add-sqr-sqrt`
138×	`add-cube-cbrt`
90×	`distribute-rgt-in` `distribute-lft-in`
39×	`associate-/l*`
34×	`distribute-lft-out`
22×	`associate-/r/`
12×	`flip3-+` `flip-+` `div-inv`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`add-log-exp`
4×	`associate-r`
3×	`associate-l` `associate-/r*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 267

Calls

4 calls:

34.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
67.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
71.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
78.0ms	(* y (log (/ y (+ z y))))
48.0ms	(log (/ y (+ z y)))

simplify80.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	852	3026
1	2649	2601
2	5002	2592

prune591.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (exp 0) y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

7.0ms

(+ x (/ (exp 0) y))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(+ x (/ (exp 0) y))

simplify130.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 4 (51.0ms)

Iter	Nodes	Cost
0	79	74
1	253	61
2	706	60
3	1632	58
4	4894	57
5	5001	57

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (exp 0) y))) (cbrt (+ x (/ (exp 0) y))))
0.6b	(cbrt (+ x (/ (exp 0) y)))
0.6b	(cbrt (+ x (/ (exp 0) y)))
0.6b	(cbrt (+ x (/ (exp 0) y)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

54.0ms	(* (cbrt (+ x (/ (exp 0) y))) (cbrt (+ x (/ (exp 0) y))))
6.0ms	(cbrt (+ x (/ (exp 0) y)))
6.0ms	(cbrt (+ x (/ (exp 0) y)))
10.0ms	(cbrt (+ x (/ (exp 0) y)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (+ x (/ (exp 0) y))) (cbrt (+ x (/ (exp 0) y))))
104.0ms	(cbrt (+ x (/ (exp 0) y)))
104.0ms	(cbrt (+ x (/ (exp 0) y)))
104.0ms	(cbrt (+ x (/ (exp 0) y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	384	1197
1	1487	1104
2	5001	1037

prune298.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
7.3b	(log (/ y (+ z y)))
7.3b	(log (/ y (+ z y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
34×	`*-un-lft-identity`
24×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-exp-log`
6×	`pow1` `cbrt-prod` `distribute-lft-out`
4×	`rem-log-exp` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 80

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
4.0ms	(log (/ y (+ z y)))
4.0ms	(log (/ y (+ z y)))

series472.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
177.0ms	(cbrt y)
64.0ms	(log (/ y (+ z y)))
52.0ms	(log (/ y (+ z y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	187	474
1	420	442
2	1231	420
3	5002	416

prune356.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes73.0ms

Accuracy

57.4% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.2b

bsearch43.0ms

Steps

Iters	Range		Point
10	8.036510293029124e-40	6.835691851748498e-26	6.718995110248579e-26

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

375.0ms	805×	body	1280	valid
309.0ms	6516×	body	80	valid
244.0ms	920×	body	640	valid
103.0ms	2979×	body	80	nan
100.0ms	577×	body	320	valid
36.0ms	304×	body	160	valid