Details

Time bar (total: 5.7s)

sample54.0ms

Algorithm
intervals
Results
34.0ms504×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
23.6b
(/ (* x x) (* y y))

rewrite6.0ms

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))

series38.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
6.0ms
(/ (* x x) (* y y))

simplify90.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune246.0ms

Pruning

8 alts after pruning (8 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)))
13.0ms
(* (/ x y) (/ x y))

series34.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
6.0ms
(* (/ x y) (/ x y))

simplify58.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0375521
11788441
25001391

prune554.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series43.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(cbrt x)
10.0ms
(cbrt x)
12.0ms
(cbrt x)
10.0ms
(cbrt x)

simplify143.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune815.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
8.8b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
8.8b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
8.8b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

rewrite9.0ms

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)))))
0.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
0.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series202.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
48.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
50.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
48.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify73.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
01911241
16251122
226251013
35002992

prune860.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

regimes958.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01626
11626

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s15580×body80valid