Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

276×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	38	5
2	60	5
3	88	5
4	122	5
5	175	5
6	625	5
7	4686	5
8	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* y z))
8.8b	(/ (- x (* y z)) (- t (* a z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `fma-neg` `prod-diff` `associate-/r` `flip--` `associate-/l`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 54

Calls

2 calls:

6.0ms	(- x (* y z))
18.0ms	(/ (- x (* y z)) (- t (* a z)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(- x (* y z))
54.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify97.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	254	397
1	873	363
2	3609	361
3	5001	354

prune276.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 8.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* y z))
0.3b	(/ 1 (- t (* a z)))
8.9b	(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
16×	`add-exp-log`
15×	`associate-r`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`flip3--` `flip--` `add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `prod-diff` `associate-/r` `log1p-expm1-u` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 99

Calls

3 calls:

6.0ms	(- x (* y z))
10.0ms	(/ 1 (- t (* a z)))
259.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series126.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- x (* y z))
44.0ms	(/ 1 (- t (* a z)))
56.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify50.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	338	667
1	1489	581
2	5001	554

prune412.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 8.8b

localize12.0ms

Local error

Found 4 expressions with local error:

3.2b	(cbrt (/ (- x (* y z)) (- t (* a z))))
8.8b	(/ (- x (* y z)) (- t (* a z)))
8.8b	(/ (- x (* y z)) (- t (* a z)))
8.8b	(/ (- x (* y z)) (- t (* a z)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
7×	`flip3--` `flip--`
6×	`associate-/l/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 128

Calls

4 calls:

6.0ms	(cbrt (/ (- x (* y z)) (- t (* a z))))
18.0ms	(/ (- x (* y z)) (- t (* a z)))
18.0ms	(/ (- x (* y z)) (- t (* a z)))
20.0ms	(/ (- x (* y z)) (- t (* a z)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (/ (- x (* y z)) (- t (* a z))))
50.0ms	(/ (- x (* y z)) (- t (* a z)))
53.0ms	(/ (- x (* y z)) (- t (* a z)))
51.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	390	1280
1	1268	1198
2	5001	1195

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 8.8b

localize24.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (- x (* y z)))
6.7b	(cbrt (- x (* y z)))
8.8b	(/ (- x (* y z)) (- t (* a z)))
8.8b	(/ (- x (* y z)) (- t (* a z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`cbrt-prod` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`pow1` `expm1-log1p-u` `cbrt-div` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `pow1/3` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 98

Calls

4 calls:

3.0ms	(cbrt (- x (* y z)))
3.0ms	(cbrt (- x (* y z)))
18.0ms	(/ (- x (* y z)) (- t (* a z)))
18.0ms	(/ (- x (* y z)) (- t (* a z)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (- x (* y z)))
109.0ms	(cbrt (- x (* y z)))
54.0ms	(/ (- x (* y z)) (- t (* a z)))
55.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	340	872
1	1134	814
2	5001	808

prune1.7s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 8.8b

regimes394.0ms

Accuracy

0% (0.3b remaining)

Error of 10.7b against oracle of 10.4b and baseline of 10.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample551.0ms

Algorithm

intervals

Results

289.0ms

8747×

body

valid