Details

Time bar (total: 2.9s)

sample18.0ms

Algorithm
intervals
Results
8.0ms319×body80valid

simplify122.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1314
2574
3914
41174
51364
61584
72124
84214
98804
1017524
1130214
1245414
1350014

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: 0.9b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
4.3b
(* (/ x y) (- z t))

rewrite17.0ms

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

series82.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* (/ x y) (- z t)) t)
48.0ms
(* (/ x y) (- z t))

simplify34.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0314342
11191302
25002302

prune120.0ms

Filtered
63 candidates to 43 candidates (68.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New56763
Fresh000
Picked101
Done000
Total57764

Merged error: 0.0b

Counts
64 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z (/ x y)) (- t (* t (/ x y))))
0.0b
(- t (* t (/ x y)))
2.4b
(* t (/ x y))
2.8b
(* z (/ x y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
14×add-exp-log add-cbrt-cube
11×add-log-exp
8×pow1
6×associate-*l*
4×associate-*r/ prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv sub-neg associate-+r+ flip3-- diff-log div-exp pow-prod-down frac-add sum-log *-commutative flip-- div-inv
1×+-commutative associate-+r- flip3-+ flip-+
Counts
4 → 93
Calls
4 calls:
6.0ms
(+ (* z (/ x y)) (- t (* t (/ x y))))
3.0ms
(- t (* t (/ x y)))
6.0ms
(* t (/ x y))
6.0ms
(* z (/ x y))

series97.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* z (/ x y)) (- t (* t (/ x y))))
32.0ms
(- t (* t (/ x y)))
18.0ms
(* t (/ x y))
17.0ms
(* z (/ x y))

simplify55.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0428530
12114490
25001477

prune251.0ms

Filtered
105 candidates to 73 candidates (69.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1005105
Fresh426
Picked101
Done000
Total1057112

Merged error: 0b

Counts
112 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
1.2b
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y)))
1.9b
(* (cbrt z) (/ x y))
2.4b
(* t (/ x y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
35×add-exp-log
27×associate-*r*
23×add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
21×times-frac
20×pow1
17×prod-exp cbrt-unprod
10×associate-*l* pow-prod-down
8×cbrt-prod
6×unswap-sqr
4×cbrt-undiv associate-*r/ div-exp add-log-exp
3×*-commutative
2×div-inv
1×pow1/3
Counts
4 → 107
Calls
4 calls:
1.0ms
(cbrt z)
10.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y)))
7.0ms
(* (cbrt z) (/ x y))
6.0ms
(* t (/ x y))

series316.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt z)
38.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y)))
96.0ms
(* (cbrt z) (/ x y))
18.0ms
(* t (/ x y))

simplify55.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0414640
11957514
25001484

prune293.0ms

Filtered
119 candidates to 81 candidates (68.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1172119
Fresh336
Picked011
Done000
Total1206126

Merged error: 0b

Counts
126 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

2.4b
(* t (/ x y))
14.7b
(cbrt (* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y))))
14.7b
(cbrt (* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y))))
14.7b
(cbrt (* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
7×associate-*r/
6×pow1
4×add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
6.0ms
(* t (/ x y))
9.0ms
(cbrt (* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y))))
9.0ms
(cbrt (* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y))))
9.0ms
(cbrt (* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y))))

series248.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* t (/ x y))
76.0ms
(cbrt (* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y))))
76.0ms
(cbrt (* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y))))
77.0ms
(cbrt (* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y))))

simplify81.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0257538
1977469
23894442
35002424

prune245.0ms

Filtered
74 candidates to 60 candidates (81.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh044
Picked011
Done011
Total74680

Merged error: 0b

Counts
80 → 6

regimes123.0ms

Accuracy

0% (2.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01611
11611

end0.0ms

sample642.0ms

Algorithm
intervals
Results
331.0ms10705×body80valid