Details

Time bar (total: 2.7s)

sample18.0ms

Algorithm
intervals
Results
7.0ms346×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
093
1113
2132
3142
4142

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ y z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y z) y x)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(fma (/ y z) y x)

simplify56.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
02744
16839
222139
382039
4500239

prune36.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (/ y z) y x))
0.5b
(cbrt (fma (/ y z) y x))
0.5b
(cbrt (fma (/ y z) y x))
0.5b
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))

rewrite9.0ms

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:
0.0ms
(cbrt (fma (/ y z) y x))
0.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
6.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))

series421.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(cbrt (fma (/ y z) y x))
106.0ms
(cbrt (fma (/ y z) y x))
106.0ms
(cbrt (fma (/ y z) y x))
103.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))

simplify95.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0157649
1578598
22529552
35002529

prune268.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
0.5b
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
0.5b
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
0.5b
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×cbrt-prod
12×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 → 75
Calls
4 calls:
6.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
7.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
3.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
3.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

series419.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
105.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
104.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
105.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

simplify83.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0152781
1512700
22096652
35001619

prune308.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y y) z))
9.9b
(/ (* y y) z)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log *-un-lft-identity add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt
4×add-log-exp
3×fma-def times-frac associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 40
Calls
2 calls:
4.0ms
(+ x (/ (* y y) z))
4.0ms
(/ (* y y) z)

series61.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ x (/ (* y y) z))
21.0ms
(/ (* y y) z)

simplify107.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0176173
1675155
22852150
35002149

prune101.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073
173

end0.0ms

sample441.0ms

Algorithm
intervals
Results
226.0ms10691×body80valid