Details

Time bar (total: 1.7s)

sample16.0ms

Algorithm
intervals
Results
7.0ms319×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (13.0ms)

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:

3.6b
(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)

series29.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(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

prune26.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
7.9b
(/ (* x (+ y z)) z)

rewrite16.0ms

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:
9.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series60.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* x (+ y z))
36.0ms
(/ (* x (+ y z)) z)

simplify35.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0234220
11134191
25001188

prune100.0ms

Filtered
56 candidates to 39 candidates (69.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.3b
(/ x (/ z (+ y z)))

rewrite20.0ms

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:
5.0ms
(/ z (+ y z))
9.0ms
(/ x (/ z (+ y z)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ z (+ y z))
47.0ms
(/ x (/ z (+ y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0420883
11912847
25002841

prune250.0ms

Filtered
133 candidates to 96 candidates (72.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

6.4b
(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)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(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

prune23.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

4.5% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.2b

bsearch98.0ms

Steps
ItersRangePoint
8
1.5653437301363384e+210
3.891062487302841e+213
4.825314484940157e+212
9
2.269462285432075e+94
1.5566460559774093e+99
1.7686127996538597e+95
9
-1.9067359219981106e+241
-2.5223391766764033e+235
-1.7672276150092905e+236

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03219
13419
23419

end0.0ms

sample416.0ms

Algorithm
intervals
Results
215.0ms9659×body80valid