Details

Time bar (total: 3.3s)

sample27.0ms

Algorithm
intervals
Results
13.0ms349×body80valid

simplify40.0ms

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

prune2.0ms

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: 6.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.1b
(/ (* 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:
4.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series138.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ x (/ (* y (- z t)) a))
33.0ms
(* y (- z t))
59.0ms
(/ (* y (- z t)) a)

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0297325
11236280
25001280

prune119.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New62870
Fresh000
Picked011
Done000
Total62971

Merged error: 0b

Counts
71 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
3.9b
(* (/ 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)))

series609.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt a)
175.0ms
(cbrt a)
173.0ms
(cbrt a)
86.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify96.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
0480918
12615741
25001706

prune265.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh077
Picked011
Done011
Total1169125

Merged error: 0b

Counts
125 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
22.0ms
(+ x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series137.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ x (/ y (/ a (- z t))))
27.0ms
(/ a (- z t))
55.0ms
(/ y (/ a (- z t)))

simplify72.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05471150
123841110
250021107

prune307.0ms

Filtered
160 candidates to 119 candidates (74.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1582160
Fresh336
Picked011
Done112
Total1627169

Merged error: 0b

Counts
169 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- z t)))
5.7b
(* (/ y a) (- z t))

rewrite14.0ms

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×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
3.0ms
(+ x (* (/ y a) (- z t)))
9.0ms
(* (/ y a) (- z t))

series99.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ x (* (/ y a) (- z t)))
54.0ms
(* (/ y a) (- z t))

simplify37.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0323335
11236299
25001299

prune98.0ms

Filtered
63 candidates to 41 candidates (65.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh044
Picked011
Done022
Total63770

Merged error: 0b

Counts
70 → 7

regimes339.0ms

Accuracy

63.9% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.5b

bsearch81.0ms

Steps
ItersRangePoint
9
3.6329009112188687e-93
2.61157586936395e-87
4.279694496723418e-88
7
-0.0014803844373699059
-1.428750313589482e-05
-0.001252307508370772

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02612
12612

end0.0ms

sample685.0ms

Algorithm
intervals
Results
369.0ms10660×body80valid