Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

257×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	28	6
3	28	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

11.0ms	(* 1.1283791670955126 (exp z))
38.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
18.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* 1.1283791670955126 (exp z))
37.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
50.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
67.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	356	637
1	1280	593
2	5001	590

prune237.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

2.6b	(/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
7.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
7.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
7.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`add-exp-log`
9×	`cbrt-prod` `flip3--` `flip--`
8×	`associate-/r/` `add-cbrt-cube`
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:

47.0ms	(/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
9.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
9.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
10.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
114.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
110.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
110.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	499	1183
1	1770	1023
2	5001	986

prune356.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
39×	`prod-diff`
36×	`add-cube-cbrt`
29×	`times-frac`
4×	`div-inv`
3×	`fma-neg` `add-log-exp` `difference-of-squares`
2×	`distribute-lft-out--`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 61

Calls

1 calls:

13.0ms

(- x (/ 1 x))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(- x (/ 1 x))

simplify49.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	334	980
1	1162	563
2	5001	481

prune56.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.3b	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
5.3b	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `log1p-expm1-u`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 66

Calls

4 calls:

14.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
16.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
17.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
50.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
90.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
90.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	207	574
1	616	532
2	2209	522
3	5001	508

prune228.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes154.0ms

Accuracy

59.5% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms

sample473.0ms

Algorithm

intervals

Results

247.0ms

8002×

body

valid