Details

Time bar (total: 6.0s)

sample31.0ms

Algorithm
intervals
Results
11.0ms337×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.3b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.1b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
18.0ms
(- (/ y z) (/ t (- 1.0 z)))
23.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series34.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ t (- 1.0 z))
9.0ms
(- (/ y z) (/ t (- 1.0 z)))
19.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0387632
11452595
25002593

prune477.0ms

Filtered
98 candidates to 71 candidates (27.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New861298
Fresh000
Picked101
Done000
Total871299

Merged error: 0.4b

Counts
99 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
3.9b
(* x (neg (/ t (- 1.0 z))))
6.2b
(* x (/ y z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*r*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*l* associate-/r/ add-log-exp
5×associate-/r*
4×associate-*r/ div-inv
3×flip3-- prod-exp distribute-rgt-neg-out flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 147
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
5.0ms
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
14.0ms
(* x (neg (/ t (- 1.0 z))))
6.0ms
(* x (/ y z))

series43.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ t (- 1.0 z))
18.0ms
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
11.0ms
(* x (neg (/ t (- 1.0 z))))
5.0ms
(* x (/ y z))

simplify85.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0674868
13164809
25002808

prune1.2s

Filtered
159 candidates to 119 candidates (25.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1563159
Fresh4711
Picked101
Done000
Total16110171

Merged error: 0.0b

Counts
171 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.1b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
3.9b
(* x (neg (/ t (- 1.0 z))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
51×associate-*r*
45×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
28×add-cube-cbrt
24×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
16×add-cbrt-cube
10×prod-exp cbrt-unprod
8×pow1
6×cbrt-prod associate-*l* distribute-lft-out-- difference-of-squares
4×cbrt-undiv div-exp associate-/r/ add-log-exp
3×div-inv unswap-sqr
2×flip3-- pow1/3 associate-*r/ pow-prod-down *-commutative flip--
1×neg-mul-1 distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
11.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
14.0ms
(* x (neg (/ t (- 1.0 z))))

series82.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
24.0ms
(cbrt z)
25.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
11.0ms
(* x (neg (/ t (- 1.0 z))))

simplify73.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0650828
13008723
25002693

prune1.0s

Filtered
127 candidates to 94 candidates (26.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1243127
Fresh189
Picked011
Done000
Total12512137

Merged error: 0.0b

Counts
137 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.7b
(sqrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
3.9b
(* x (neg (/ t (- 1.0 z))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
46×associate-*r*
42×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
27×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
7×pow1
6×add-exp-log cbrt-prod add-cbrt-cube distribute-lft-out-- difference-of-squares
5×sqrt-prod
4×associate-/r/ add-log-exp
3×associate-*l* div-inv
2×rem-sqrt-square flip3-- pow1/3 flip--
1×neg-mul-1 sqrt-pow1 pow1/2 sqrt-div associate-*r/ pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod distribute-neg-frac unswap-sqr
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
7.0ms
(sqrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
14.0ms
(* x (neg (/ t (- 1.0 z))))

series67.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
21.0ms
(cbrt z)
13.0ms
(sqrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
11.0ms
(* x (neg (/ t (- 1.0 z))))

simplify52.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0479636
11971589
25001562

prune1.1s

Filtered
114 candidates to 89 candidates (21.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh2810
Picked011
Done011
Total11511126

Merged error: 0.0b

Counts
126 → 11

regimes648.0ms

Accuracy

0% (1.7b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02617
13017
23117
33117

end0.0ms

sample753.0ms

Algorithm
intervals
Results
333.0ms10187×body80valid

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