Details

Time bar (total: 6.4s)

sample40.0ms

Algorithm
intervals
Results
21.0ms419×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
111210
238410
3156810
4500110

prune3.0ms

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: 0.0b

Counts
2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ y t) 2.0)
0.0b
(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
0.0b
(* (- t 1.0) a)
0.0b
(* (- (+ y t) 2.0) b)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
18×add-sqr-sqrt
14×add-log-exp
11×associate-*l*
8×pow1 add-exp-log add-cube-cbrt flip3-- associate-*l/ add-cbrt-cube flip--
6×associate-*r*
5×diff-log distribute-lft-out--
4×frac-sub
3×sub-neg associate--l+ difference-of-squares
2×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×associate--l- sum-log
Counts
4 → 82
Calls
4 calls:
6.0ms
(- (+ y t) 2.0)
6.0ms
(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
6.0ms
(* (- t 1.0) a)
8.0ms
(* (- (+ y t) 2.0) b)

series169.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- (+ y t) 2.0)
92.0ms
(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
34.0ms
(* (- t 1.0) a)
26.0ms
(* (- (+ y t) 2.0) b)

simplify54.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0487582
11973531
25002531

prune226.0ms

Filtered
94 candidates to 62 candidates (66.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New89594
Fresh000
Picked011
Done000
Total89695

Merged error: 0b

Counts
95 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt a) (cbrt a))
0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt a) (cbrt a))
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)

series877.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (cbrt a) (cbrt a))
344.0ms
(cbrt a)
169.0ms
(cbrt a)
175.0ms
(cbrt a)

simplify85.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune256.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done011
Total85691

Merged error: 0b

Counts
91 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
0.5b
(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
0.5b
(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
0.5b
(* (cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))) (cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
102×cbrt-div
85×flip3-- flip--
74×associate-*l/
68×frac-sub
36×frac-times
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log associate-*r/ swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 139
Calls
4 calls:
6.0ms
(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
6.0ms
(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
5.0ms
(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
16.0ms
(* (cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))) (cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))))

series1.9s

Counts
4 → 12
Calls
4 calls:
428.0ms
(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
422.0ms
(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
421.0ms
(cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
632.0ms
(* (cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))) (cbrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))))

simplify88.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05184508
117914380
250014290

prune628.0ms

Filtered
151 candidates to 109 candidates (72.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1510151
Fresh033
Picked011
Done022
Total1516157

Merged error: 0b

Counts
157 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ y t) 2.0)
0.0b
(* (+ y t) (+ y t))
6.9b
(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
8.9b
(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
16×add-sqr-sqrt
15×distribute-lft-out
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
9×add-log-exp
8×flip3-+ associate-*l* flip-+
7×associate-*r*
6×swap-sqr associate-*l/
5×times-frac associate-/r*
4×frac-times
3×prod-exp sum-log cbrt-unprod
2×cbrt-undiv flip3-- associate-*r/ div-exp pow-prod-down associate-/r/ *-commutative flip-- associate-/l/ unswap-sqr
1×+-commutative pow2 distribute-rgt-in associate-+l+ frac-2neg distribute-lft-in pow-plus clear-num pow-sqr pow-prod-up div-inv associate-/l* difference-of-squares
Counts
4 → 105
Calls
4 calls:
8.0ms
(+ (+ y t) 2.0)
8.0ms
(* (+ y t) (+ y t))
11.0ms
(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
17.0ms
(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

series142.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ (+ y t) 2.0)
14.0ms
(* (+ y t) (+ y t))
48.0ms
(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
68.0ms
(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0516825
12726714
25001710

prune271.0ms

Filtered
117 candidates to 72 candidates (61.5%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1170117
Fresh022
Picked011
Done033
Total1176123

Merged error: 0b

Counts
123 → 6

regimes238.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
12310

end0.0ms

sample1.1s

Algorithm
intervals
Results
649.0ms12581×body80valid
0.0ms2×body320valid
0.0ms1×body640valid