Details

Time bar (total: 31.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms271×body80valid

simplify148.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
09204
121204
240179
367179
4102179
5142179
6144179
done144179

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 x) y)
7.9b
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
56×associate-/l*
22×div-inv
16×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
6×associate-/r*
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
Counts
2 → 266
Calls
2 calls:
9.0ms
(/ (/ 1.0 x) y)
31.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

series132.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (/ 1.0 x) y)
93.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

simplify1.2s

Counts
272 → 272
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0471124025
11189116811
done5000115207

prune1.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.8b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 y) (sqrt (fma z z 1.0)))
1.1b
(* (/ (/ 1.0 x) (sqrt (fma z z 1.0))) (/ (/ 1 y) (sqrt (fma z z 1.0))))
15.7b
(sqrt (fma z z 1.0))
15.7b
(sqrt (fma z z 1.0))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
497×times-frac
375×add-sqr-sqrt
231×*-un-lft-identity
221×add-cube-cbrt
155×sqrt-prod
82×associate-*r* associate-*l*
73×add-exp-log
45×add-cbrt-cube
39×div-exp
35×unswap-sqr
22×div-inv
21×cbrt-undiv
15×prod-exp
13×associate-/l*
9×cbrt-unprod
8×pow1
6×associate-/r*
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 383
Calls
4 calls:
16.0ms
(/ (/ 1 y) (sqrt (fma z z 1.0)))
203.0ms
(* (/ (/ 1.0 x) (sqrt (fma z z 1.0))) (/ (/ 1 y) (sqrt (fma z z 1.0))))
2.0ms
(sqrt (fma z z 1.0))
3.0ms
(sqrt (fma z z 1.0))

series382.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(/ (/ 1 y) (sqrt (fma z z 1.0)))
108.0ms
(* (/ (/ 1.0 x) (sqrt (fma z z 1.0))) (/ (/ 1 y) (sqrt (fma z z 1.0))))
63.0ms
(sqrt (fma z z 1.0))
97.0ms
(sqrt (fma z z 1.0))

simplify1.9s

Counts
395 → 395
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0488183220
11592160760
done5001157608

prune1.9s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.8b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 x))
16.2b
(cbrt (fma z z 1.0))
16.2b
(cbrt (fma z z 1.0))
16.2b
(cbrt (fma z z 1.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
1×cbrt-div div-inv
Counts
4 → 63
Calls
4 calls:
4.0ms
(cbrt (/ 1.0 x))
1.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))
2.0ms
(cbrt (fma z z 1.0))

series1.0s

Counts
4 → 12
Calls
4 calls:
306.0ms
(cbrt (/ 1.0 x))
221.0ms
(cbrt (fma z z 1.0))
238.0ms
(cbrt (fma z z 1.0))
243.0ms
(cbrt (fma z z 1.0))

simplify2.6s

Counts
75 → 75
Iterations

Useful iterations: done (2.6s)

IterNodesCost
012129319
121523978
261123903
3284023143
done500023068

prune704.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 6.8b

localize40.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (/ (/ (/ 1.0 x) y) (sqrt (fma z z 1.0))) (sqrt (fma z z 1.0)))
2.9b
(/ (/ (/ 1.0 x) y) (sqrt (fma z z 1.0)))
15.7b
(sqrt (fma z z 1.0))
15.7b
(sqrt (fma z z 1.0))

rewrite629.0ms

Algorithm
rewrite-expression-head
Rules
6870×times-frac
2946×add-sqr-sqrt
2944×*-un-lft-identity add-cube-cbrt
1830×sqrt-prod
305×associate-/l*
205×div-inv
27×add-cbrt-cube add-exp-log
16×cbrt-undiv div-exp
12×associate-/r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 2217
Calls
4 calls:
143.0ms
(/ (/ (/ (/ 1.0 x) y) (sqrt (fma z z 1.0))) (sqrt (fma z z 1.0)))
35.0ms
(/ (/ (/ 1.0 x) y) (sqrt (fma z z 1.0)))
2.0ms
(sqrt (fma z z 1.0))
3.0ms
(sqrt (fma z z 1.0))

series395.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ (/ (/ (/ 1.0 x) y) (sqrt (fma z z 1.0))) (sqrt (fma z z 1.0)))
128.0ms
(/ (/ (/ 1.0 x) y) (sqrt (fma z z 1.0)))
98.0ms
(sqrt (fma z z 1.0))
92.0ms
(sqrt (fma z z 1.0))

simplify3.5s

Counts
2229 → 2229
Iterations

Useful iterations: done (2.9s)

IterNodesCost
025091776226
done50001675859

prune13.9s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 6.8b

regimes304.0ms

Accuracy

0% (1.0b remaining)

Error of 6.0b against oracle of 5.0b and baseline of 6.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012300
115300
done15300

end0.0ms

sample717.0ms

Algorithm
intervals
Results
476.0ms8599×body80valid