Details

Time bar (total: 6.7s)

sample44.0ms

Algorithm
intervals
Results
25.0ms487×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
21.0b
(/ (* x x) (* y y))

rewrite15.0ms

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)))
14.0ms
(/ (* x x) (* y y))

series128.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
34.0ms
(/ (* x x) (* y y))

simplify103.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune166.0ms

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))

rewrite32.0ms

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)))
28.0ms
(* (/ x y) (/ x y))

series128.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
28.0ms
(* (/ x y) (/ x y))

simplify61.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0375521
11788441
25001391

prune409.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
10.2b
(cbrt (/ x y))
10.2b
(cbrt (/ x y))
10.2b
(cbrt (/ x y))

rewrite40.0ms

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
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
26.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series300.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
71.0ms
(cbrt (/ x y))
63.0ms
(cbrt (/ x y))
71.0ms
(cbrt (/ x y))

simplify89.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
02671139
19171091
235901046
350011022

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ 1 (* (cbrt y) (cbrt y))))
4.0b
(cbrt (/ x (cbrt y)))
10.2b
(cbrt (/ x y))
10.2b
(cbrt (/ x y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
39×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
Counts
4 → 99
Calls
4 calls:
10.0ms
(cbrt (/ 1 (* (cbrt y) (cbrt y))))
3.0ms
(cbrt (/ x (cbrt y)))
2.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series620.0ms

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt (/ 1 (* (cbrt y) (cbrt y))))
167.0ms
(cbrt (/ x (cbrt y)))
70.0ms
(cbrt (/ x y))
69.0ms
(cbrt (/ x y))

simplify91.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0272729
1661697
22810687
35001657

prune1.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

regimes669.0ms

Accuracy

0% (0.6b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02520
12520

end0.0ms

sample1.1s

Algorithm
intervals
Results
678.0ms15397×body80valid