Details

Time bar (total: 3.9s)

sample24.0ms

Algorithm
intervals
Results
11.0ms337×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: 6.4b

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))
7.2b
(/ (* y (- z t)) a)

rewrite20.0ms

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))
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series128.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ x (/ (* y (- z t)) a))
34.0ms
(* y (- z t))
49.0ms
(/ (* y (- z t)) a)

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0297325
11236280
25001280

prune127.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New64670
Fresh000
Picked101
Done000
Total65671

Merged error: 0.0b

Counts
71 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
3.4b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite27.0ms

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)
19.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series597.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt a)
167.0ms
(cbrt a)
172.0ms
(cbrt a)
89.0ms
(* (/ 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

prune280.0ms

Filtered
116 candidates to 89 candidates (76.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh055
Picked011
Done000
Total1157122

Merged error: 0b

Counts
122 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt (* (cbrt a) (cbrt a)))
3.4b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
28×add-cbrt-cube
16×add-sqr-sqrt
15×prod-exp cbrt-unprod
12×cbrt-undiv *-un-lft-identity div-exp
10×add-cube-cbrt
9×times-frac associate-*r*
7×cbrt-prod associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
2×div-inv unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
4.0ms
(cbrt (* (cbrt a) (cbrt a)))
18.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

series714.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt a)
175.0ms
(cbrt a)
263.0ms
(cbrt (* (cbrt a) (cbrt a)))
94.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04271061
12263796
25001767

prune260.0ms

Filtered
91 candidates to 67 candidates (73.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh055
Picked011
Done011
Total91798

Merged error: 0b

Counts
98 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.3b
(/ y (/ a (- z t)))

rewrite44.0ms

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:
19.0ms
(+ x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ x (/ y (/ a (- z t))))
27.0ms
(/ a (- z t))
51.0ms
(/ y (/ a (- z t)))

simplify64.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05471150
123841110
250021107

prune322.0ms

Filtered
160 candidates to 119 candidates (74.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1582160
Fresh224
Picked011
Done112
Total1616167

Merged error: 0b

Counts
167 → 6

regimes234.0ms

Accuracy

68% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03017
13017

end0.0ms

sample606.0ms

Algorithm
intervals
Results
298.0ms10607×body80valid