Details

Time bar (total: 3.2s)

sample32.0ms

Algorithm
intervals
Results
11.0ms336×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

prune8.0ms

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: 6.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
6.7b
(/ (* y (- z t)) a)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
7.0ms
(* y (- z t))
4.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(/ (* y (- z t)) a)

series34.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z t))
15.0ms
(+ x (/ (* y (- z t)) a))
12.0ms
(/ (* y (- z t)) a)

simplify38.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0297325
11236280
25001280

prune89.0ms

Filtered
70 candidates to 45 candidates (35.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New64670
Fresh000
Picked011
Done000
Total64771

Merged error: 0.0b

Counts
71 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.8b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
18.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series85.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
22.0ms
(cbrt a)
21.0ms
(cbrt a)
20.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify64.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0500954
12500845
25001783

prune131.0ms

Filtered
116 candidates to 84 candidates (27.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1142116
Fresh055
Picked011
Done011
Total1149123

Merged error: 0.0b

Counts
123 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt a))
0.6b
(cbrt (cbrt a))
0.6b
(cbrt (cbrt a))
4.8b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
38×add-cbrt-cube
27×cbrt-prod
25×prod-exp cbrt-unprod
20×add-sqr-sqrt
17×cbrt-undiv div-exp
16×*-un-lft-identity
14×add-cube-cbrt
9×times-frac associate-*r*
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
2×div-inv unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
2.0ms
(cbrt (cbrt a))
2.0ms
(cbrt (cbrt a))
2.0ms
(cbrt (cbrt a))
20.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

series113.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (cbrt a))
31.0ms
(cbrt (cbrt a))
30.0ms
(cbrt (cbrt a))
21.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04861395
12417968
25002865

prune122.0ms

Filtered
108 candidates to 73 candidates (32.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1071108
Fresh156
Picked011
Done022
Total1089117

Merged error: 0.0b

Counts
117 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.8b
(* (/ (- z t) (* (cbrt a) (cbrt a))) (/ y (cbrt a)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
9×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
16.0ms
(* (/ (- z t) (* (cbrt a) (cbrt a))) (/ y (cbrt a)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
21.0ms
(cbrt a)
24.0ms
(cbrt a)
17.0ms
(* (/ (- z t) (* (cbrt a) (cbrt a))) (/ y (cbrt a)))

simplify56.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0474857
12097748
25002683

prune112.0ms

Filtered
106 candidates to 80 candidates (24.5%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1060106
Fresh055
Picked011
Done033
Total1069115

Merged error: 0.0b

Counts
115 → 9

regimes1.0s

Accuracy

89.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512
12512

end0.0ms

sample921.0ms

Algorithm
intervals
Results
362.0ms10655×body80valid

Profiling

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