Details

Time bar (total: 5.9s)

sample63.0ms

Algorithm
intervals
Results
47.0ms458×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
20.1b
(/ (* x x) (* y y))

rewrite7.0ms

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:
0.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
5.0ms
(/ (* x x) (* y y))

series143.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
32.0ms
(/ (* x x) (* y y))

simplify101.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune113.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

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))

rewrite17.0ms

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:
0.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
14.0ms
(* (/ x y) (/ x y))

series137.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
30.0ms
(* (/ x y) (/ x y))

simplify66.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0375521
11788441
25001391

prune228.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.7b
(* (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (cbrt y)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt times-frac
45×add-exp-log
32×add-cbrt-cube
28×add-cube-cbrt *-un-lft-identity
22×associate-*r*
21×cbrt-prod
17×cbrt-undiv div-exp associate-*l*
14×prod-exp cbrt-unprod
9×unswap-sqr
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 121
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
38.0ms
(* (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (cbrt y)))

series663.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(cbrt y)
200.0ms
(cbrt y)
200.0ms
(cbrt y)
59.0ms
(* (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (cbrt y)))

simplify97.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
06071071
13311864
25003790

prune694.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
9.6b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
9.6b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
9.6b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u 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 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series582.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
138.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
144.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
142.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify86.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
01911241
16251122
226251013
35002992

prune302.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes375.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01311
11311

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.7s15745×body80valid