Details

Time bar (total: 3.6s)

sample38.0ms

Algorithm
intervals
Results
21.0ms494×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 19.1b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
21.5b
(/ (* x x) (* y y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
1.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
7.0ms
(/ (* x x) (* y y))

series142.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
34.0ms
(/ (* x x) (* y y))

simplify102.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune110.0ms

Filtered
39 candidates to 26 candidates (66.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New33639
Fresh101
Picked101
Done000
Total35641

Merged error: 0.2b

Counts
41 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
0.3b
(* (/ x y) (/ x y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
30×add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
2 → 79
Calls
2 calls:
1.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
12.0ms
(* (/ x y) (/ x y))

series141.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
32.0ms
(* (/ x y) (/ x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0375521
11788441
25001391

prune207.0ms

Filtered
85 candidates to 56 candidates (65.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh145
Picked101
Done000
Total811091

Merged error: 0.1b

Counts
91 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
21.1b
(cbrt (* (/ x y) (/ x y)))
21.1b
(cbrt (* (/ x y) (/ x y)))
21.1b
(cbrt (* (/ x y) (/ x y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 93
Calls
4 calls:
7.0ms
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
6.0ms
(cbrt (* (/ x y) (/ x y)))
6.0ms
(cbrt (* (/ x y) (/ x y)))
6.0ms
(cbrt (* (/ x y) (/ x y)))

series415.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
100.0ms
(cbrt (* (/ x y) (/ x y)))
99.0ms
(cbrt (* (/ x y) (/ x y)))
100.0ms
(cbrt (* (/ x y) (/ x y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0207783
1633700
22620637
35001623

prune291.0ms

Filtered
105 candidates to 72 candidates (68.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1041105
Fresh189
Picked011
Done000
Total10510115

Merged error: 0.1b

Counts
115 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* x (/ x y))
0.2b
(fma (/ z t) (/ z t) (* (/ 1 y) (* x (/ x y))))
5.8b
(* (/ 1 y) (* x (/ x y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
29×add-cbrt-cube
23×add-sqr-sqrt
22×prod-exp
19×times-frac
18×add-cube-cbrt *-un-lft-identity
16×associate-*l*
14×associate-*r*
12×cbrt-unprod
11×div-exp
10×pow1
6×cbrt-undiv
4×associate-*r/ pow-prod-down
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-times associate-*l/ fma-udef
Counts
3 → 91
Calls
3 calls:
7.0ms
(* x (/ x y))
1.0ms
(fma (/ z t) (/ z t) (* (/ 1 y) (* x (/ x y))))
11.0ms
(* (/ 1 y) (* x (/ x y)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* x (/ x y))
105.0ms
(fma (/ z t) (/ z t) (* (/ 1 y) (* x (/ x y))))
33.0ms
(* (/ 1 y) (* x (/ x y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0395540
12198417
25001406

prune198.0ms

Filtered
100 candidates to 62 candidates (62.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh088
Picked011
Done011
Total10010110

Merged error: 0.1b

Counts
110 → 10

regimes350.0ms

Accuracy

0% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01217
11217

end0.0ms

sample1.1s

Algorithm
intervals
Results
714.0ms15413×body80valid