Details

Time bar (total: 15.3s)

sample35.0ms

Algorithm
intervals
Results
17.0ms341×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ y z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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) y x)

series29.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(fma (/ y z) y x)

simplify3.2s

Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
019110
127107
26095
316995
453795
5207495
done500195

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y y) z))
9.0b
(/ (* y y) z)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log *-un-lft-identity add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt
4×add-log-exp
3×fma-def times-frac associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 40
Calls
2 calls:
14.0ms
(+ x (/ (* y y) z))
16.0ms
(/ (* y y) z)

series62.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (/ (* y y) z))
28.0ms
(/ (* y y) z)

simplify3.1s

Counts
46 → 46
Iterations

Useful iterations: 3 (431.0ms)

IterNodesCost
071387
1168362
2485324
31594309
done5001309

prune133.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ y (/ z y)))
0.1b
(/ y (/ z y))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
47×*-un-lft-identity
45×add-sqr-sqrt add-cube-cbrt
13×associate-/r*
7×add-exp-log add-cbrt-cube
5×div-inv
4×add-log-exp
3×cbrt-undiv fma-def div-exp associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×+-commutative frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-+ distribute-lft-out
Counts
2 → 89
Calls
2 calls:
36.0ms
(+ x (/ y (/ z y)))
14.0ms
(/ y (/ z y))

series59.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (/ y (/ z y)))
22.0ms
(/ y (/ z y))

simplify3.4s

Counts
95 → 95
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
01701081
1371996
21227909
34367897
done5000897

prune281.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ 1 z) (pow y 2)))
9.0b
(* (/ 1 z) (pow y 2))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
25×add-exp-log
17×times-frac
16×*-un-lft-identity
13×associate-*l*
12×add-cube-cbrt prod-exp unswap-sqr
8×associate-*r*
7×add-cbrt-cube
6×unpow-prod-down div-exp
4×pow-to-exp pow-exp unpow2 add-log-exp sqr-pow
3×rec-exp fma-def 1-exp
2×pow1 expm1-log1p-u cbrt-unprod log1p-expm1-u
1×cbrt-undiv +-commutative flip3-+ associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
2 → 74
Calls
2 calls:
6.0ms
(+ x (* (/ 1 z) (pow y 2)))
23.0ms
(* (/ 1 z) (pow y 2))

series75.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ x (* (/ 1 z) (pow y 2)))
36.0ms
(* (/ 1 z) (pow y 2))

simplify3.4s

Counts
80 → 80
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0126875
1299683
2775556
32516542
done5000539

prune229.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample974.0ms

Algorithm
intervals
Results
442.0ms10594×body80valid