Details

Time bar (total: 9.0s)

sample15.0ms

Algorithm
intervals
Results
7.0ms329×body80valid

simplify30.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×times-frac
11×add-cube-cbrt *-un-lft-identity
5×difference-of-squares
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
3×associate-/r*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 47
Calls
2 calls:
9.0ms
(- (* x x) 3.0)
35.0ms
(/ (- (* x x) 3.0) 6.0)

series160.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(- (* x x) 3.0)
89.0ms
(/ (- (* x x) 3.0) 6.0)

simplify975.0ms

Counts
53 → 53

prune113.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.1b
(/ 6.0 (- (* x x) 3.0))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
80×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
22×associate-/r*
17×difference-of-squares
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip diff-log inv-pow
Counts
3 → 142
Calls
3 calls:
10.0ms
(- (* x x) 3.0)
36.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
22.0ms
(/ 6.0 (- (* x x) 3.0))

series196.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(- (* x x) 3.0)
80.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
59.0ms
(/ 6.0 (- (* x x) 3.0))

simplify1.1s

Counts
151 → 151

prune331.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
0.2b
(cbrt (- (* x x) 3.0))
0.2b
(cbrt (- (* x x) 3.0))
0.2b
(cbrt (- (* x x) 3.0))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
30×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
7×swap-sqr associate-*r* associate-*l* difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
91.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
19.0ms
(cbrt (- (* x x) 3.0))
14.0ms
(cbrt (- (* x x) 3.0))
14.0ms
(cbrt (- (* x x) 3.0))

series1.1s

Counts
4 → 12
Calls
4 calls:
299.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
277.0ms
(cbrt (- (* x x) 3.0))
258.0ms
(cbrt (- (* x x) 3.0))
290.0ms
(cbrt (- (* x x) 3.0))

simplify2.3s

Counts
105 → 105

prune426.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) 3.0)
0.0b
(- (* x x) 3.0)
0.1b
(* (sqrt (- (* x x) 3.0)) (/ (sqrt (- (* x x) 3.0)) 6.0))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
25×times-frac associate-*r*
21×sqrt-prod
19×add-cube-cbrt *-un-lft-identity
8×add-exp-log add-cbrt-cube
7×associate-*l* add-log-exp
6×difference-of-squares unswap-sqr
5×pow1
4×flip3-- sqrt-div flip--
2×frac-times sub-neg diff-log associate-*l/ prod-exp cbrt-unprod
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv
Counts
3 → 82
Calls
3 calls:
15.0ms
(- (* x x) 3.0)
16.0ms
(- (* x x) 3.0)
89.0ms
(* (sqrt (- (* x x) 3.0)) (/ (sqrt (- (* x x) 3.0)) 6.0))

series259.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(- (* x x) 3.0)
75.0ms
(- (* x x) 3.0)
113.0ms
(* (sqrt (- (* x x) 3.0)) (/ (sqrt (- (* x x) 3.0)) 6.0))

simplify628.0ms

Counts
91 → 91

prune260.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify34.0ms

end0.0ms

sample597.0ms

Algorithm
intervals
Results
376.0ms10673×body80valid