Details

Time bar (total: 2.0s)

sample17.0ms

Algorithm
intervals
Results
6.0ms301×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (12.0ms)

IterNodesCost
0163
1243
2383
3453
4533
5573
6673
73092
821252
950012

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

2.7b
(fma (/ y z) x x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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) x x)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(fma (/ y z) x x)

simplify139.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02644
16239
220539
384939
4478539
5500139

prune30.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y z) x x))
2.7b
(fma (/ y z) x x)
2.7b
(fma (/ y z) x x)
2.7b
(fma (/ y z) x x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-prod fma-udef
pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (/ y z) x x))
0.0ms
(fma (/ y z) x x)
0.0ms
(fma (/ y z) x x)
0.0ms
(fma (/ y z) x x)

series219.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (fma (/ y z) x x))
28.0ms
(fma (/ y z) x x)
28.0ms
(fma (/ y z) x x)
32.0ms
(fma (/ y z) x x)

simplify118.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0102227
1252205
2978202
34867197
45001197

prune136.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
11.7b
(/ (* x (+ y z)) z)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
pow1 associate-*r/ associate-*r*
times-frac associate-*l* associate-/r*
cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ add-log-exp
distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
19.0ms
(* x (+ y z))
15.0ms
(/ (* x (+ y z)) z)

series66.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* x (+ y z))
40.0ms
(/ (* x (+ y z)) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0234220
11134191
25001188

prune94.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.7b
(/ x (/ z (+ y z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-+ flip-+
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 127
Calls
2 calls:
11.0ms
(/ z (+ y z))
16.0ms
(/ x (/ z (+ y z)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ z (+ y z))
45.0ms
(/ x (/ z (+ y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0420883
11912847
25002841

prune237.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

27.9% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 3.5b

bsearch35.0ms

Steps
ItersRangePoint
8
8.160707863194306e-202
2.1392555851697813e-197
1.0894212234177486e-199
5
-1.0325392572761377e-145
-3.625737056260186e-146
-8.29054569462013e-146

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0164
1164

end0.0ms

sample448.0ms

Algorithm
intervals
Results
193.0ms9511×body80valid