Details

Time bar (total: 5.5s)

sample65.0ms

Algorithm
intervals
Results
47.0ms486×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
21.1b
(/ (* 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))

series146.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
35.0ms
(/ (* x x) (* y y))

simplify102.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune114.0ms

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))

rewrite18.0ms

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))

series143.0ms

Counts
2 → 6
Calls
2 calls:
112.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
31.0ms
(* (/ x y) (/ x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0375521
11788441
25001391

prune238.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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)))))
11.3b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
11.3b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
11.3b
(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))))

series605.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
144.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
144.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
152.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify84.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
01911241
16251122
226251013
35002992

prune369.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

9.6b
(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
9.6b
(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
11.3b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
11.3b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3 fma-udef hypot-def
Counts
4 → 58
Calls
4 calls:
1.0ms
(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
1.0ms
(sqrt (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))))

series727.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
333.0ms
(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
145.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
152.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify80.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 4 (72.0ms)

IterNodesCost
0112600
1226536
2612526
31901518
45001502

prune290.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.0b

regimes534.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02043
12043

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s15133×body80valid