Details

Time bar (total: 2.8s)

sample38.0ms

Algorithm
intervals
Results
12.0ms338×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
02319
12319

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) a)
0.0b
(+ x (* y (/ (- z t) a)))
6.5b
(* y (/ (- z t) a))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
5.0ms
(/ (- z t) a)
3.0ms
(+ x (* y (/ (- z t) a)))
9.0ms
(* y (/ (- z t) a))

series37.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- z t) a)
18.0ms
(+ x (* y (/ (- z t) a)))
13.0ms
(* y (/ (- z t) a))

simplify48.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05134890

prune111.0ms

Filtered
65 candidates to 96 candidates (-47.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New91596
Fresh011
Picked011
Done000
Total91798

Merged error: 0b

Counts
98 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
6.0b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite25.0ms

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:
21.0ms
(cbrt a)
22.0ms
(cbrt a)
24.0ms
(cbrt a)
18.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify71.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049531100
149531100

prune116.0ms

Filtered
76 candidates to 116 candidates (-52.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh055
Picked011
Done011
Total1167123

Merged error: 0b

Counts
123 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
5.5b
(/ (* y (- z t)) a)

rewrite20.0ms

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:
4.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(* y (- z t))
8.0ms
(/ (* y (- z t)) a)

series34.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05981589

prune70.0ms

Filtered
43 candidates to 70 candidates (-62.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh044
Picked011
Done022
Total70777

Merged error: 0b

Counts
77 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* y (- z t)) (/ 1 a)))
0.0b
(* y (- z t))
5.6b
(* (* y (- z t)) (/ 1 a))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×div-exp associate-*l* pow-prod-down
3×flip3-- flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative
1×+-commutative flip3-+ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 79
Calls
3 calls:
3.0ms
(+ x (* (* y (- z t)) (/ 1 a)))
6.0ms
(* y (- z t))
12.0ms
(* (* y (- z t)) (/ 1 a))

series34.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ x (* (* y (- z t)) (/ 1 a)))
7.0ms
(* y (- z t))
12.0ms
(* (* y (- z t)) (/ 1 a))

simplify35.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05135759

prune65.0ms

Filtered
50 candidates to 88 candidates (-76.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New88088
Fresh033
Picked011
Done033
Total88795

Merged error: 0b

Counts
95 → 7

regimes882.0ms

Accuracy

78.3% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02535
12535

end0.0ms

sample987.0ms

Algorithm
intervals
Results
375.0ms10646×body80valid

Profiling

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