Details

Time bar (total: 3.7s)

sample24.0ms

Algorithm
intervals
Results
13.0ms325×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2426
3496
4556
5616
6636
7636

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.9b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
2.3b
(* (/ x y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
10.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms
(/ (+ x 4.0) y)
6.0ms
(* (/ x y) z)

series93.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
30.0ms
(/ (+ x 4.0) y)
21.0ms
(* (/ x y) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0399743
11422683
25001668

prune275.0ms

Filtered
126 candidates to 89 candidates (70.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1215126
Fresh000
Picked101
Done000
Total1225127

Merged error: 0.0b

Counts
127 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
2.2b
(* (/ x y) (- 1 z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
18×prod-diff
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×times-frac
7×add-exp-log add-cbrt-cube
6×associate-*r*
4×pow1
2×expm1-log1p-u frac-times sub-neg flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u add-log-exp difference-of-squares unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv distribute-lft-out--
Counts
2 → 73
Calls
2 calls:
1.0ms
(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
10.0ms
(* (/ x y) (- 1 z))

series90.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
43.0ms
(* (/ x y) (- 1 z))

simplify41.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0402603
11761405
25002402

prune156.0ms

Filtered
79 candidates to 45 candidates (57.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New77279
Fresh134
Picked011
Done000
Total78684

Merged error: 0.0b

Counts
84 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.1b
(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log
14×add-cube-cbrt *-un-lft-identity
13×associate-*l*
12×add-cbrt-cube
10×times-frac
9×pow1 cbrt-prod
6×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv div-exp unswap-sqr
1×associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt z)
4.0ms
(cbrt z)
1.0ms
(cbrt z)
9.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

series765.0ms

Counts
4 → 12
Calls
4 calls:
305.0ms
(cbrt z)
173.0ms
(cbrt z)
174.0ms
(cbrt z)
113.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

simplify131.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
0255402
1952317
24648303
35001298

prune278.0ms

Filtered
88 candidates to 72 candidates (81.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New86288
Fresh224
Picked011
Done011
Total88694

Merged error: 0.0b

Counts
94 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.7b
(cbrt (cbrt z))
2.1b
(* (/ x y) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
17×add-cbrt-cube
15×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×pow1 associate-*l*
12×prod-exp cbrt-unprod
9×times-frac
6×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(cbrt (cbrt z))
12.0ms
(* (/ x y) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

series701.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt z)
171.0ms
(cbrt z)
235.0ms
(cbrt (cbrt z))
119.0ms
(* (/ x y) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

simplify43.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0337754
11436625
25001615

prune307.0ms

Filtered
94 candidates to 73 candidates (77.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh033
Picked011
Done022
Total946100

Merged error: 0.0b

Counts
100 → 6

regimes77.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample499.0ms

Algorithm
intervals
Results
295.0ms10127×body80valid