Details

Time bar (total: 2.4s)

sample27.0ms

Algorithm
intervals
Results
11.0ms330×body80valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z z) (+ z 1.0))
14.9b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite23.0ms

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×flip3-+ associate-/r/ flip-+ 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 → 51
Calls
2 calls:
7.0ms
(* (* z z) (+ z 1.0))
14.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (* z z) (+ z 1.0))
14.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0380385
12326297
25001297

prune72.0ms

Filtered
33 candidates to 57 candidates (-72.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New50757
Fresh000
Picked101
Done000
Total51758

Merged error: 9.4b

Counts
58 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.2b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.8b
(/ x (* z z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
15.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series23.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
12.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0523706
12630610
25002610

prune141.0ms

Filtered
78 candidates to 116 candidates (-48.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1106116
Fresh426
Picked101
Done000
Total1158123

Merged error: 0.0b

Counts
123 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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×add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
16.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series85.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
22.0ms
(cbrt x)
24.0ms
(cbrt x)
17.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify64.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05511001
12705715
25002587

prune105.0ms

Filtered
57 candidates to 100 candidates (-75.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New955100
Fresh347
Picked101
Done000
Total999108

Merged error: 0.0b

Counts
108 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
22.0b
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
22.0b
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
22.0b
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))

rewrite57.0ms

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×add-log-exp
3×cbrt-prod times-frac pow1/3 pow-prod-down
1×associate-*r* *-commutative div-inv
Counts
4 → 103
Calls
4 calls:
15.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
12.0ms
(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)))))
12.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))

series150.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
45.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
43.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
46.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06641886
131271516
250031403

prune209.0ms

Filtered
75 candidates to 115 candidates (-53.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1132115
Fresh088
Picked101
Done000
Total11410124

Merged error: 0b

Counts
124 → 10

regimes313.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02336
12336

end0.0ms

sample696.0ms

Algorithm
intervals
Results
370.0ms10727×body80valid

Profiling

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