Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

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))))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.6b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
16.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
36.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
62.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
77.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	329	592
1	1175	552
2	5002	551

prune233.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
0.5b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.1b	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `flip3-+` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 94

Calls

4 calls:

2.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
8.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
21.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
65.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
73.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify65.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	422	886
1	1863	790
2	5001	758

prune235.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.9b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
4.9b	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
47×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`cbrt-prod`
28×	`associate-/r*`
18×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `pow1/3` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

4 → 128

Calls

4 calls:

0.0ms	(cbrt y)
1.0ms	(cbrt y)
16.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
13.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

series675.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt y)
194.0ms	(cbrt y)
198.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
94.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	548	1587
1	2734	1416
2	5002	1388

prune490.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

7.1b	(* y (/ (/ 1 (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
8.0b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
8.0b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
8.0b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

118×	`times-frac`
96×	`associate-r`
80×	`cbrt-div`
69×	`add-sqr-sqrt`
57×	`cbrt-prod`
53×	`*-un-lft-identity`
51×	`add-cube-cbrt`
50×	`associate-/r/`
40×	`flip3--` `flip--`
32×	`add-exp-log`
24×	`frac-times`
13×	`associate-*r/` `add-cbrt-cube`
12×	`associate-*l/`
11×	`div-exp` `prod-exp`
7×	`div-inv` `unswap-sqr`
6×	`pow1`
5×	`cbrt-undiv` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
2×	`rec-exp` `1-exp`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 167

Calls

4 calls:

119.0ms	(* y (/ (/ 1 (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
4.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
4.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
4.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series430.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* y (/ (/ 1 (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
116.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
121.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
118.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify116.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	988	3389
1	4425	3034
2	5001	2904

prune596.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes161.0ms

Accuracy

58.1% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.8b

bsearch1.0ms

Steps

Iters	Range		Point
0	0.9992773459915872	0.9998754085065553	0.9995763772490712

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample417.0ms

Algorithm

intervals

Results

250.0ms

8000×

body

valid