Details

Time bar (total: 14.1s)

sample37.0ms

Algorithm
intervals
Results
25.0ms341×body80valid

simplify32.0ms

Counts
1 → 1
Iterations
IterNodes
done24
524
423
321
217
112
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×*-un-lft-identity add-cube-cbrt
4×associate-/l* difference-of-squares
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 37
Calls
1 calls:
36.0ms
(/ (- (* x x) 3.0) 6.0)

series124.0ms

Counts
1 → 3
Calls
1 calls:
124.0ms
(/ (- (* x x) 3.0) 6.0)

simplify3.7s

Counts
40 → 40
Iterations
IterNodes
done5000
44885
31375
2449
1185
081

prune118.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×*-un-lft-identity add-exp-log
9×add-cube-cbrt
6×add-cbrt-cube
4×associate-*l* prod-exp
3×pow1 unswap-sqr
2×frac-times flip3-- div-exp associate-*l/ cbrt-unprod flip--
1×expm1-log1p-u cbrt-undiv rec-exp 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp difference-of-squares
Counts
1 → 44
Calls
1 calls:
28.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

simplify2.2s

Counts
47 → 47
Iterations
IterNodes
done5000
32905
2810
1262
0104

prune153.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
30×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-- pow1/3 flip--
7×swap-sqr associate-*r* associate-*l* difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
13.0ms
(cbrt (- (* x x) 3.0))
11.0ms
(cbrt (- (* x x) 3.0))
12.0ms
(cbrt (- (* x x) 3.0))
47.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt (- (* x x) 3.0))
312.0ms
(cbrt (- (* x x) 3.0))
294.0ms
(cbrt (- (* x x) 3.0))
326.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))

simplify2.2s

Counts
117 → 117
Iterations
IterNodes
done5004
33353
21033
1373
0162

prune562.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (sqrt 3.0))
0.0b
(/ (- x (sqrt 3.0)) 6.0)
0.0b
(+ x (sqrt 3.0))
0.7b
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
60×*-un-lft-identity
40×add-cube-cbrt
37×times-frac
22×associate-*r*
18×prod-diff
17×sqrt-prod
16×difference-of-squares
11×add-cbrt-cube add-exp-log
8×distribute-lft-out-- add-log-exp
6×pow1 associate-/l*
4×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u
3×associate-/r* fma-def flip3-+ fma-neg flip-+
2×frac-times cbrt-undiv flip3-- div-exp associate-*l/ prod-exp cbrt-unprod div-inv flip-- distribute-lft-out unswap-sqr associate-/l/
1×+-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*r/ *-commutative
Counts
4 → 151
Calls
4 calls:
6.0ms
(- x (sqrt 3.0))
14.0ms
(/ (- x (sqrt 3.0)) 6.0)
5.0ms
(+ x (sqrt 3.0))
32.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series409.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- x (sqrt 3.0))
87.0ms
(/ (- x (sqrt 3.0)) 6.0)
57.0ms
(+ x (sqrt 3.0))
208.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify1.6s

Counts
163 → 163
Iterations
IterNodes
done5000
21462
1485
0196

prune451.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample859.0ms

Algorithm
intervals
Results
693.0ms10733×body80valid