Details

sample52.0ms

Algorithm

intervals

Results

12.0ms	28×	body	1280	valid
10.0ms	205×	body	80	valid
9.0ms	34×	body	640	valid
6.0ms	93×	body	80	nan
2.0ms	11×	body	320	valid
1.0ms	11×	body	160	valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (31.0ms)

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: 2.5b

localize10.0ms

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)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
207×	`*-un-lft-identity`
198×	`log-prod`
144×	`exp-sum`
141×	`add-sqr-sqrt`
139×	`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×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`fma-def` `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 → 278

Calls

4 calls:

37.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
64.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
67.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
75.0ms	(* y (log (/ y (+ z y))))
52.0ms	(log (/ y (+ z y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

290 → 290

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	868	3073
1	2712	2640
2	5002	2626

prune593.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

7.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify94.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	89	102
1	291	78
2	832	73
3	2503	71
4	5001	71

prune52.0ms

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

rewrite73.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 103

Calls

4 calls:

52.0ms	(* (cbrt (+ x (/ (exp (* y 0)) y))) (cbrt (+ x (/ (exp (* y 0)) y))))
6.0ms	(cbrt (+ x (/ (exp (* y 0)) y)))
6.0ms	(cbrt (+ x (/ (exp (* y 0)) y)))
6.0ms	(cbrt (+ x (/ (exp (* y 0)) y)))

series490.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (cbrt (+ x (/ (exp (* y 0)) y))) (cbrt (+ x (/ (exp (* y 0)) y))))
114.0ms	(cbrt (+ x (/ (exp (* y 0)) y)))
121.0ms	(cbrt (+ x (/ (exp (* y 0)) y)))
111.0ms	(cbrt (+ x (/ (exp (* y 0)) y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	401	1460
1	1564	1368
2	5001	1252

prune324.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
5.4b	(pow (/ y (+ z y)) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3` `distribute-lft-out`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
8.0ms	(pow (/ y (+ z y)) y)

series775.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt y)
184.0ms	(cbrt y)
178.0ms	(cbrt y)
231.0ms	(pow (/ y (+ z y)) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	310	383
1	1139	367
2	5001	356

prune266.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

57.4% (0.9b remaining)

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

bsearch45.0ms

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	21	8
1	21	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

370.0ms	805×	body	1280	valid
320.0ms	6516×	body	80	valid
244.0ms	920×	body	640	valid
106.0ms	2979×	body	80	nan
100.0ms	577×	body	320	valid
33.0ms	304×	body	160	valid