Details

Time bar (total: 3.7s)

sample37.0ms

Algorithm
intervals
Results
20.0ms351×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1785
21795
32775
43755
54885
69775
725115
850025

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: 16.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.8b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
7.0ms
(* (* z z) (+ z 1.0))
10.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (* z z) (+ z 1.0))
69.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify65.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0387405
12384314
25001313

prune105.0ms

Filtered
61 candidates to 37 candidates (60.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New53861
Fresh000
Picked101
Done000
Total54862

Merged error: 7.7b

Counts
62 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

4.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.3b
(/ x (* z z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
4×pow1 unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative flip-+
Counts
2 → 78
Calls
2 calls:
13.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series74.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify57.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0474544
12399458
25002458

prune153.0ms

Filtered
84 candidates to 56 candidates (66.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New79584
Fresh437
Picked101
Done000
Total84892

Merged error: 0.0b

Counts
92 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
15.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series605.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
171.0ms
(cbrt x)
178.0ms
(cbrt x)
74.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify71.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0537999
12849711
25001607

prune216.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1053108
Fresh167
Picked011
Done000
Total10610116

Merged error: 0.0b

Counts
116 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
23.0b
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
23.0b
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
23.0b
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
21×cbrt-div
20×frac-times associate-*r/
12×associate-*l/
9×pow1
7×associate-*l*
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod times-frac pow1/3 pow-prod-down
1×associate-*r* *-commutative div-inv
Counts
4 → 111
Calls
4 calls:
16.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
13.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
13.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
18.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))

series653.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
190.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
190.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
191.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))

simplify96.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06701962
131621583
250011467

prune342.0ms

Filtered
123 candidates to 83 candidates (67.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh088
Picked011
Done011
Total12310133

Merged error: 0.0b

Counts
133 → 10

regimes232.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01510
11510

end0.0ms

sample576.0ms

Algorithm
intervals
Results
357.0ms10690×body80valid

Profiling

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