Details

Time bar (total: 4.2s)

sample35.0ms

Algorithm
intervals
Results
15.0ms450×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
20.4b
(/ (* x x) (* y y))

rewrite16.0ms

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)))
15.0ms
(/ (* x x) (* y y))

series137.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
32.0ms
(/ (* x x) (* y y))

simplify87.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune106.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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)))
23.0ms
(* (/ x y) (/ x y))

series135.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
29.0ms
(* (/ x y) (/ x y))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0375521
11788441
25001391

prune226.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
11.8b
(cbrt (/ x y))
11.8b
(cbrt (/ x y))
11.8b
(cbrt (/ x y))

rewrite44.0ms

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:
30.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series302.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
71.0ms
(cbrt (/ x y))
65.0ms
(cbrt (/ x y))
69.0ms
(cbrt (/ x y))

simplify79.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
02671139
19171091
235901046
350011022

prune589.0ms

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 (/ 1 y))
11.8b
(cbrt (/ x y))
11.8b
(cbrt (/ x y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
27×times-frac
26×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
3×cbrt-div div-inv
Counts
4 → 85
Calls
4 calls:
1.0ms
(cbrt x)
6.0ms
(cbrt (/ 1 y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series512.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt x)
184.0ms
(cbrt (/ 1 y))
72.0ms
(cbrt (/ x y))
67.0ms
(cbrt (/ x y))

simplify47.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0205474
1455452
21373437
35001401

prune380.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

regimes324.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02215
12215

end0.0ms

sample1.1s

Algorithm
intervals
Results
526.0ms15265×body80valid