Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	8
1	63	8
2	149	8
3	358	8
4	840	8
5	5001	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* (* z 2.0) z) (* y t))
19.2b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

19.0ms	(- (* (* z 2.0) z) (* y t))
45.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series224.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (* (* z 2.0) z) (* y t))
185.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	281	415
1	1422	344
2	5002	344

prune119.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 4.5b

localize14.0ms

Local error

Found 4 expressions with local error:

4.2b	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
23.1b	(cbrt (- (* (* z 2.0) z) (* y t)))
23.1b	(cbrt (- (* (* z 2.0) z) (* y t)))
23.1b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

64.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
16.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
15.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
18.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
121.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
121.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
125.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	448	1102
1	1520	984
2	5002	964

prune341.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.7b	(- (* (* z 2.0) z) (* y t))
5.8b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

19.0ms	(- (* (* z 2.0) z) (* y t))
31.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
45.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series284.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (* (* z 2.0) z) (* y t))
185.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
55.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	438	968
1	2164	856
2	5002	849

prune262.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 2.0 z) (/ (* t y) z))
5.4b	(/ (* t y) z)
5.8b	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

10.0ms	(- (* 2.0 z) (/ (* t y) z))
9.0ms	(/ (* t y) z)
23.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

series228.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- (* 2.0 z) (/ (* t y) z))
20.0ms	(/ (* t y) z)
169.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	386	558
1	1952	451
2	5001	451

prune164.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.7b

regimes123.0ms

Accuracy

0% (1.7b remaining)

Error of 2.3b against oracle of 0.6b and baseline of 2.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample558.0ms

Algorithm

intervals

Results

291.0ms

8000×

body

valid