Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify36.0ms

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: 12.0b

localize14.0ms

Local error

Found 2 expressions with local error:

1.2b	(- (* (* z 2.0) z) (* y t))
18.0b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite16.0ms

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:

5.0ms	(- (* (* z 2.0) z) (* y t))
10.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series425.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (* (* z 2.0) z) (* y t))
386.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (9.0ms)

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

prune135.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.0b

localize15.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
24.1b	(cbrt (- (* (* z 2.0) z) (* y t)))
24.1b	(cbrt (- (* (* z 2.0) z) (* y t)))
24.1b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite33.0ms

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:

18.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
4.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
5.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
5.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series636.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
134.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
128.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
129.0ms	(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

prune365.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.0b

localize11.0ms

Local error

Found 3 expressions with local error:

1.2b	(- (* (* z 2.0) z) (* y t))
4.6b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.8b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite24.0ms

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:

5.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series313.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (* (* z 2.0) z) (* y t))
195.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
61.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (53.0ms)

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

prune291.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.2b

localize10.0ms

Local error

Found 2 expressions with local error:

4.6b	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
5.4b	(/ (* t y) z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
12×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`prod-exp` `associate-/r/` `cbrt-unprod`

Counts

2 → 95

Calls

2 calls:

8.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
5.0ms	(/ (* t y) z)

series209.0ms

Counts

2 → 6

Calls

2 calls:

185.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
24.0ms	(/ (* t y) z)

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	443	1003
1	1973	944
2	5001	943

prune278.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes97.0ms

Accuracy

0% (1.0b remaining)

Error of 1.4b against oracle of 0.5b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	12
1	17	12

end0.0ms

sample516.0ms

Algorithm

intervals

Results

313.0ms

8000×

body

valid