Details

Time bar (total: 2.0s)

sample17.0ms

Algorithm
intervals
Results
6.0ms311×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (12.0ms)

IterNodesCost
0163
1243
2383
3453
4533
5573
6673
73092
821252
950012

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

4.8b
(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)

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(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

prune32.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (/ y z) x x))
4.8b
(fma (/ y z) x x)
4.8b
(fma (/ y z) x x)
4.8b
(fma (/ y z) x x)

rewrite2.0ms

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)

series192.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(cbrt (fma (/ y z) x x))
24.0ms
(fma (/ y z) x x)
27.0ms
(fma (/ y z) x x)
23.0ms
(fma (/ y z) x x)

simplify112.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0102227
1252205
2978202
34867197
45001197

prune139.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

4.8b
(fma (/ y z) x x)
4.8b
(fma (/ y z) x x)
4.8b
(fma (/ y z) x x)
4.8b
(fma (/ y z) x x)

rewrite2.0ms

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
4 → 40
Calls
4 calls:
0.0ms
(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)

series99.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(fma (/ y z) x x)
23.0ms
(fma (/ y z) x x)
23.0ms
(fma (/ y z) x x)
23.0ms
(fma (/ y z) x x)

simplify140.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
026176
162156
2205156
3849156
44785156
55001156

prune154.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
14.4b
(/ (* x (+ y z)) z)

rewrite36.0ms

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:
18.0ms
(* x (+ y z))
17.0ms
(/ (* x (+ y z)) z)

series56.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ y z))
31.0ms
(/ (* x (+ y z)) z)

simplify34.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0234220
11134191
25001188

prune83.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes127.0ms

Accuracy

26.9% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 4.8b

bsearch60.0ms

Steps
ItersRangePoint
9
1.7631510733367047e-220
1.3580050774515707e-213
2.0321743030776656e-220
5
-1.8008483269965516e-255
-8.594087594876684e-256
-1.0118283004612191e-255
8
-4.4585876412666756e-69
-2.069504108268452e-72
-4.4083512437793537e-69

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1239

end0.0ms

sample460.0ms

Algorithm
intervals
Results
199.0ms9636×body80valid