Details

Time bar (total: 27.9s)

sample40.0ms

Algorithm
intervals
Results
14.0ms358×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

prune5.0ms

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: 5.9b

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))
7.0b
(/ (* y (- z t)) a)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-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×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
6.0ms
(* y (- z t))
4.0ms
(- x (/ (* y (- z t)) a))
6.0ms
(/ (* y (- z t)) a)

series33.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* y (- z t))
14.0ms
(- x (/ (* y (- z t)) a))
12.0ms
(/ (* y (- z t)) a)

simplify38.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0291345
11204306
25001306

prune234.0ms

Filtered
72 candidates to 47 candidates (34.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New66672
Fresh000
Picked011
Done000
Total66773

Merged error: 0.0b

Counts
73 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.0b
(/ y (/ a (- z t)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
22.0ms
(- x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
8.0ms
(/ y (/ a (- z t)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(- x (/ y (/ a (- z t))))
6.0ms
(/ a (- z t))
12.0ms
(/ y (/ a (- z t)))

simplify63.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05511200
123711160
250031157

prune1.0s

Filtered
164 candidates to 122 candidates (25.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1613164
Fresh325
Picked011
Done011
Total1647171

Merged error: 0b

Counts
171 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.8b
(* (/ (cbrt y) (/ (* (cbrt a) (cbrt a)) (cbrt y))) (/ (cbrt y) (/ (cbrt a) (- z t))))
2.1b
(/ (cbrt y) (/ (cbrt a) (- z t)))

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
1058×times-frac
779×add-sqr-sqrt
569×*-un-lft-identity
538×cbrt-prod
413×add-cube-cbrt
221×associate-*r*
78×distribute-lft-out-- difference-of-squares
65×associate-*l*
63×add-exp-log
49×unswap-sqr
36×associate-/r*
30×cbrt-undiv div-exp
29×associate-/r/
27×add-cbrt-cube
22×div-inv
15×prod-exp cbrt-unprod
13×flip3-- flip--
6×pow1 associate-/l*
4×add-log-exp
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 666
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
192.0ms
(* (/ (cbrt y) (/ (* (cbrt a) (cbrt a)) (cbrt y))) (/ (cbrt y) (/ (cbrt a) (- z t))))
13.0ms
(/ (cbrt y) (/ (cbrt a) (- z t)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
12.0ms
(* (/ (cbrt y) (/ (* (cbrt a) (cbrt a)) (cbrt y))) (/ (cbrt y) (/ (cbrt a) (- z t))))
46.0ms
(/ (cbrt y) (/ (cbrt a) (- z t)))

simplify125.0ms

Algorithm
egg-herbie
Counts
678 → 678
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
0255010282
1500110106

prune23.5s

Filtered
678 candidates to 554 candidates (18.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New6780678
Fresh044
Picked011
Done022
Total6787685

Merged error: 0b

Counts
685 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (/ y a) (- z t)))
6.0b
(* (/ y a) (- z t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×sub-neg associate-*r*
4×pow1 distribute-rgt-in distribute-lft-in associate--r+ add-log-exp
3×flip3-- flip--
2×frac-times associate-*r/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 58
Calls
2 calls:
3.0ms
(- x (* (/ y a) (- z t)))
8.0ms
(* (/ y a) (- z t))

series26.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(- x (* (/ y a) (- z t)))
12.0ms
(* (/ y a) (- z t))

simplify35.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0316343
11221313
25001305

prune405.0ms

Filtered
64 candidates to 41 candidates (35.9%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New64064
Fresh033
Picked011
Done033
Total64771

Merged error: 0b

Counts
71 → 7

regimes915.0ms

Accuracy

64.1% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02418
12418

end0.0ms

sample908.0ms

Algorithm
intervals
Results
332.0ms10688×body80valid

Profiling

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