Details

Time bar (total: 6.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms344×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (4.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

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)

series30.0ms

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

simplify2.2s

Counts
13 → 13
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
019110
128107
26395
314495
441695
5136195
6404195
done500095

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

9.9b
(/ (pow y 2) z)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down
8×associate-/l*
6×add-exp-log
4×unpow2 sqr-pow
3×div-exp associate-/r* add-cbrt-cube
1×pow1 cbrt-undiv expm1-log1p-u pow-to-exp frac-2neg pow-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 51
Calls
1 calls:
4.0ms
(/ (pow y 2) z)

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ (pow y 2) z)

simplify784.0ms

Counts
54 → 54
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
093541
1155493
2442422
31338422
done5000422

prune119.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (pow y (/ 2 2)) (/ z y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
163×times-frac
85×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×unpow-prod-down
14×add-exp-log sqr-pow
13×associate-/r*
9×div-exp div-inv
7×associate-/l*
6×add-cbrt-cube
3×cbrt-undiv
2×pow-to-exp pow-exp
1×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u add-log-exp
Counts
1 → 132
Calls
1 calls:
9.0ms
(/ (pow y (/ 2 2)) (/ z y))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ (pow y (/ 2 2)) (/ z y))

simplify1.1s

Counts
135 → 135
Iterations

Useful iterations: 2 (350.0ms)

IterNodesCost
02502713
15402082
218941864
done50011864

prune345.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

9.9b
(* (pow y 2) (/ 1 z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
24×add-exp-log
17×times-frac
14×*-un-lft-identity
13×associate-*r*
12×prod-exp unswap-sqr
10×add-cube-cbrt
8×associate-*l*
6×unpow-prod-down div-exp add-cbrt-cube
4×pow-to-exp pow-exp unpow2 sqr-pow
3×rec-exp 1-exp
2×cbrt-unprod
1×pow1 cbrt-undiv expm1-log1p-u associate-*r/ un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 59
Calls
1 calls:
12.0ms
(* (pow y 2) (/ 1 z))

series28.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (pow y 2) (/ 1 z))

simplify1.5s

Counts
62 → 62
Iterations

Useful iterations: 2 (147.0ms)

IterNodesCost
0102666
1258523
2672400
31994400
done5000400

prune118.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes55.0ms

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
056
done56

end0.0ms

sample440.0ms

Algorithm
intervals
Results
229.0ms10604×body80valid