Details

Time bar (total: 5.1s)

sample52.0ms

Algorithm
intervals
Results
35.0ms463×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
20.7b
(/ (* x x) (* y y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
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))

series137.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
29.0ms
(/ (* x x) (* y y))

simplify96.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune107.0ms

Pruning

6 alts after pruning (6 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*
pow1
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
expm1-log1p-u log1p-expm1-u add-log-exp
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))

series140.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
34.0ms
(* (/ x y) (/ x y))

simplify59.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0375521
11788441
25001391

prune226.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
12.9b
(cbrt (/ x y))
12.9b
(cbrt (/ x y))
12.9b
(cbrt (/ x y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
pow1/3 unswap-sqr
cbrt-div div-inv
add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
19.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
1.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
6.0ms
(cbrt (/ x y))

series312.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
73.0ms
(cbrt (/ x y))
66.0ms
(cbrt (/ x y))
75.0ms
(cbrt (/ x y))

simplify89.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
02671139
19171091
235901046
350011022

prune627.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt y)
12.9b
(cbrt (/ x y))
12.9b
(cbrt (/ x y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-div div-inv
Counts
4 → 74
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt y)
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series765.0ms

Counts
4 → 12
Calls
4 calls:
419.0ms
(cbrt x)
207.0ms
(cbrt y)
66.0ms
(cbrt (/ x y))
73.0ms
(cbrt (/ x y))

simplify56.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0171380
1404360
21435352
35001334

prune354.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

regimes335.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01714
11714

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s15385×body80valid