Details

Time bar (total: 3.1s)

sample34.0ms

Algorithm
intervals
Results
17.0ms465×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
23.1b
(/ (* x x) (* y y))

rewrite8.0ms

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)))
6.0ms
(/ (* x x) (* y y))

series146.0ms

Counts
2 → 6
Calls
2 calls:
115.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
31.0ms
(/ (* x x) (* y y))

simplify97.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune110.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
0.3b
(* (fabs (/ x y)) (fabs (/ x y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×add-exp-log add-cbrt-cube
3×swap-sqr associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod fma-udef unswap-sqr
Counts
2 → 37
Calls
2 calls:
0.0ms
(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

series41.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
9.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
097283
1337224
21501214
35002208

prune133.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
40×times-frac
34×add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
5×prod-exp cbrt-unprod unswap-sqr
4×cbrt-undiv div-exp div-inv
2×pow2 expm1-log1p-u pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up log1p-expm1-u add-log-exp
1×frac-times associate-*r/ associate-*l/
Counts
2 → 96
Calls
2 calls:
13.0ms
(* (/ z t) (/ z t))
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

series39.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (/ z t) (/ z t))
9.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0400564
11937483
25002435

prune286.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.5b
(pow (sqrt (fabs (/ x y))) 3)
8.0b
(sqrt (fabs (/ x y)))
8.0b
(sqrt (fabs (/ x y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
40×times-frac
39×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
15×pow1
13×swap-sqr associate-*r* associate-*l*
12×sqrt-prod
6×unpow-prod-down cube-prod
4×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×rem-sqrt-square
1×pow2 cube-mult frac-times pow-to-exp pow-plus unpow3 associate-*r/ pow-prod-down associate-*l/ pow-exp pow-sqr *-commutative pow-prod-up sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 133
Calls
4 calls:
13.0ms
(* (/ z t) (/ z t))
2.0ms
(pow (sqrt (fabs (/ x y))) 3)
1.0ms
(sqrt (fabs (/ x y)))
1.0ms
(sqrt (fabs (/ x y)))

series73.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (/ z t) (/ z t))
22.0ms
(pow (sqrt (fabs (/ x y))) 3)
8.0ms
(sqrt (fabs (/ x y)))
12.0ms
(sqrt (fabs (/ x y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0461744
12308658
25001616

prune392.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

regimes427.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01512
11512

end0.0ms

sample990.0ms

Algorithm
intervals
Results
596.0ms15684×body80valid