Details

Time bar (total: 10.8s)

sample40.0ms

Algorithm
intervals
Results
16.0ms309×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 7 (73.0ms)

IterNodesCost
067
1167
2247
3377
4467
5527
6567
71246
82916
96966
1017936
1144156
done50006

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:

5.5b
(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)

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(fma (/ x z) y x)

simplify1.7s

Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
018110
125107
26195
320995
489795
done500195

prune46.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
4.7b
(/ (* x y) z)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log fma-def add-cbrt-cube
add-sqr-sqrt add-cube-cbrt times-frac
add-log-exp
associate-/r*
pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv
+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ distribute-lft-out associate-/l*
Counts
2 → 44
Calls
2 calls:
25.0ms
(+ (/ (* x y) z) x)
16.0ms
(/ (* x y) z)

series78.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ (/ (* x y) z) x)
31.0ms
(/ (* x y) z)

simplify804.0ms

Counts
50 → 50
Iterations

Useful iterations: done (802.0ms)

IterNodesCost
071387
1189364
2944332
done5000313

prune107.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
4.7b
(/ (* x y) z)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log fma-def add-cbrt-cube
add-sqr-sqrt add-cube-cbrt times-frac
add-log-exp
associate-/r*
pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv
+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ distribute-lft-out associate-/l*
Counts
2 → 44
Calls
2 calls:
19.0ms
(+ (/ (* x y) z) x)
10.0ms
(/ (* x y) z)

series71.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ (/ (* x y) z) x)
26.0ms
(/ (* x y) z)

simplify833.0ms

Counts
50 → 50
Iterations

Useful iterations: done (831.0ms)

IterNodesCost
071387
1189364
2944332
done5000313

prune132.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x y) (/ 1 z)) x)
4.8b
(* (* x y) (/ 1 z))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
14×add-cbrt-cube
13×associate-*r*
12×prod-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
pow1
cbrt-unprod
div-exp add-log-exp
pow-prod-down
cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u
+-commutative fma-def flip3-+ associate-*r/ associate-*l* sum-log un-div-inv *-commutative flip-+ div-inv
Counts
2 → 54
Calls
2 calls:
30.0ms
(+ (* (* x y) (/ 1 z)) x)
33.0ms
(* (* x y) (/ 1 z))

series78.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (* (* x y) (/ 1 z)) x)
32.0ms
(* (* x y) (/ 1 z))

simplify3.0s

Counts
60 → 60
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0107649
1320551
22162403
done5000399

prune150.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes132.0ms

Accuracy

64.5% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 4.6b

bsearch72.0ms

Steps
ItersRangePoint
10
3.702960000671357e-60
1.225889303318422e-48
1.5031735730580239e-55
6
-1.4982150177354391e-05
-2.998006725449914e-06
-1.2558466507456497e-05

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01837
12722
23122
done3122

end0.0ms

sample875.0ms

Algorithm
intervals
Results
399.0ms9626×body80valid