Details

Time bar (total: 3.7s)

sample44.0ms

Algorithm
intervals
Results
20.0ms350×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

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: 6.6b

Counts
2 → 1

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
6.9b
(/ (* y (- z t)) a)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 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/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
11.0ms
(* y (- z t))
12.0ms
(/ (* y (- z t)) a)

series94.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* y (- z t))
56.0ms
(/ (* y (- z t)) a)

simplify32.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0231226
11033189
25002189

prune99.0ms

Filtered
55 candidates to 35 candidates (63.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New49655
Fresh000
Picked011
Done000
Total49756

Merged error: 0.0b

Counts
56 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
3.6b
(* (/ 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)))

series623.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt a)
178.0ms
(cbrt a)
176.0ms
(cbrt a)
91.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0480918
12615741
25001706

prune273.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh145
Picked101
Done011
Total1176123

Merged error: 0.0b

Counts
123 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
1.1b
(* y (/ (- z t) (cbrt a)))
3.4b
(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
36×*-un-lft-identity
34×associate-*r*
33×times-frac
30×add-exp-log
24×add-cube-cbrt
22×cbrt-prod
21×add-cbrt-cube
9×cbrt-undiv div-exp prod-exp cbrt-unprod
6×pow1 distribute-lft-out-- difference-of-squares
4×add-log-exp
3×associate-*l* unswap-sqr
2×pow1/3 associate-*r/ div-inv
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l/ associate-/l*
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
13.0ms
(* y (/ (- z t) (cbrt a)))
12.0ms
(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

series614.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt a)
198.0ms
(cbrt a)
153.0ms
(* y (/ (- z t) (cbrt a)))
87.0ms
(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0456748
12321627
25001585

prune235.0ms

Filtered
114 candidates to 79 candidates (69.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh044
Picked011
Done011
Total1146120

Merged error: 0.0b

Counts
120 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
6.6b
(/ y (/ a (- z t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ a (- z t))
55.0ms
(/ y (/ a (- z t)))

simplify58.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04811051
121901013
250011004

prune288.0ms

Filtered
145 candidates to 107 candidates (73.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1441145
Fresh123
Picked011
Done022
Total1456151

Merged error: 0b

Counts
151 → 6

regimes314.0ms

Accuracy

87.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02312
12312

end0.0ms

sample650.0ms

Algorithm
intervals
Results
341.0ms10661×body80valid