Details

Time bar (total: 7.0s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2147
3177
4187
done187

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize9.0ms

Local error

Found 1 expressions with local error:

8.7b
(/ (* x y) (+ y 1.0))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 expm1-log1p-u frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
33.0ms
(/ (* x y) (+ y 1.0))

series90.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(/ (* x y) (+ y 1.0))

simplify1.0s

Counts
30 → 30
Iterations

Useful iterations: done (1.0s)

IterNodesCost
074335
1211320
21161278
done5001274

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y 1.0) y)
0.1b
(/ x (/ (+ y 1.0) y))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 119
Calls
2 calls:
38.0ms
(/ (+ y 1.0) y)
23.0ms
(/ x (/ (+ y 1.0) y))

series194.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(/ (+ y 1.0) y)
94.0ms
(/ x (/ (+ y 1.0) y))

simplify1.5s

Counts
125 → 125
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01881682
14961584
225411485
done50011481

prune359.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
12.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
344.0ms
(* (cbrt y) (cbrt y))
302.0ms
(cbrt y)
300.0ms
(cbrt y)
261.0ms
(cbrt y)

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: done (1.3s)

IterNodesCost
065554
1143443
2719423
done5000409

prune309.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

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

sample664.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid