Details

Time bar (total: 4.4s)

sample23.0ms

Algorithm
intervals
Results
10.0ms325×body80valid

simplify42.0ms

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: 7.1b

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

rewrite21.0ms

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:
5.0ms
(+ x (/ (* y (- z t)) a))
7.0ms
(* y (- z t))
8.0ms
(/ (* y (- z t)) a)

series138.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ x (/ (* y (- z t)) a))
37.0ms
(* y (- z t))
50.0ms
(/ (* y (- z t)) a)

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0297325
11236280
25001280

prune139.0ms

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: 0.0b

Counts
71 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite30.0ms

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)
20.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series638.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt a)
179.0ms
(cbrt a)
180.0ms
(cbrt a)
93.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify64.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0480918
12615741
25001706

prune308.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh077
Picked011
Done011
Total11510125

Merged error: 0.0b

Counts
125 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.6b
(* (/ y (* (cbrt a) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a))))) (/ (- z t) (cbrt a)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
46×add-sqr-sqrt
38×*-un-lft-identity
35×times-frac
34×associate-*r*
30×add-cbrt-cube
26×add-cube-cbrt
25×cbrt-prod
22×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
7×associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares
4×add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
29.0ms
(* (/ y (* (cbrt a) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a))))) (/ (- z t) (cbrt a)))

series642.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt a)
181.0ms
(cbrt a)
185.0ms
(cbrt a)
97.0ms
(* (/ y (* (cbrt a) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a))))) (/ (- z t) (cbrt a)))

simplify90.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
05881630
134581133
25001983

prune399.0ms

Filtered
121 candidates to 85 candidates (70.2%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh077
Picked011
Done022
Total12110131

Merged error: 0.0b

Counts
131 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
7.2b
(/ y (/ a (- z t)))

rewrite55.0ms

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:
25.0ms
(+ x (/ y (/ a (- z t))))
7.0ms
(/ a (- z t))
12.0ms
(/ y (/ a (- z t)))

series176.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(+ x (/ y (/ a (- z t))))
36.0ms
(/ a (- z t))
73.0ms
(/ y (/ a (- z t)))

simplify81.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05471150
123841110
250021107

prune346.0ms

Filtered
160 candidates to 119 candidates (74.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1582160
Fresh426
Picked011
Done123
Total1637170

Merged error: 0b

Counts
170 → 7

regimes375.0ms

Accuracy

84.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02412
12412

end0.0ms

sample679.0ms

Algorithm
intervals
Results
360.0ms10626×body80valid