Details

Time bar (total: 2.2s)

sample16.0ms

Algorithm
intervals
Results
7.0ms307×body80valid

simplify52.0ms

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

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

3.9b
(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)

series30.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(fma (/ y z) x x)

simplify138.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02644
16239
220539
384939
4478539
5500139

prune31.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.1b
(/ (* x (+ y z)) z)

rewrite18.0ms

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:
10.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series64.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ y z))
38.0ms
(/ (* x (+ y z)) z)

simplify35.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0234220
11134191
25001188

prune103.0ms

Filtered
56 candidates to 39 candidates (69.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

4.1b
(fma (/ x z) y 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 (/ x z) y x)

series31.0ms

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

simplify75.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02544
15639
216739
357739
4270539
5500139

prune32.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
6.6b
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y z) (cbrt z)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
36×*-un-lft-identity
34×times-frac
28×associate-*r*
25×add-exp-log
24×add-cube-cbrt
23×cbrt-prod
18×add-cbrt-cube
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l*
pow1 distribute-lft-out unswap-sqr
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3
div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 106
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)
37.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y z) (cbrt z)))

series613.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt z)
176.0ms
(cbrt z)
176.0ms
(cbrt z)
77.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y z) (cbrt z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0453875
12465711
25001673

prune272.0ms

Filtered
118 candidates to 90 candidates (76.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes99.0ms

Accuracy

4.4% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.3b

bsearch47.0ms

Steps
ItersRangePoint
7
1.2950548412787855e-154
1.4041926177035122e-152
1.1452918085668837e-153
7
-6.496427067926374e-40
-1.695672006134033e-41
-2.161724350185571e-40

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0236
1236

end0.0ms

sample434.0ms

Algorithm
intervals
Results
218.0ms9645×body80valid