Details

Time bar (total: 13.9s)

sample15.0ms

Algorithm
intervals
Results
7.0ms338×body80valid

simplify16.0ms

Counts
1 → 1
Iterations
IterNodes
done23
423
321
217
112
06

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 36
Calls
1 calls:
34.0ms
(/ (- (* x x) 3.0) 6.0)

series133.0ms

Counts
1 → 3
Calls
1 calls:
133.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.0s

Counts
39 → 39
Iterations
IterNodes
done5002
31557
2454
1184
080

prune130.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))

rewrite102.0ms

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* 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 → 147
Calls
4 calls:
7.0ms
(- x (sqrt 3.0))
20.0ms
(/ (- x (sqrt 3.0)) 6.0)
6.0ms
(+ x (sqrt 3.0))
64.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series476.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- x (sqrt 3.0))
102.0ms
(/ (- x (sqrt 3.0)) 6.0)
39.0ms
(+ x (sqrt 3.0))
262.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify1.8s

Counts
159 → 159
Iterations
IterNodes
done5001
21455
1481
0192

prune556.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(* 0.16666666666666666 (- (* x x) 3.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in *-un-lft-identity distribute-lft-in add-cube-cbrt
4×associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u flip-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 33
Calls
1 calls:
40.0ms
(* 0.16666666666666666 (- (* x x) 3.0))

series104.0ms

Counts
1 → 3
Calls
1 calls:
104.0ms
(* 0.16666666666666666 (- (* x x) 3.0))

simplify2.0s

Counts
36 → 36
Iterations
IterNodes
done5002
31736
2476
1196
085

prune108.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (sqrt 3.0))
0.2b
(/ (- x (sqrt 3.0)) (sqrt 6.0))
0.7b
(* (+ x (sqrt 3.0)) (/ (/ (- x (sqrt 3.0)) (sqrt 6.0)) (sqrt 6.0)))
0.8b
(/ (/ (- x (sqrt 3.0)) (sqrt 6.0)) (sqrt 6.0))

rewrite305.0ms

Algorithm
rewrite-expression-head
Rules
994×times-frac
801×add-sqr-sqrt
611×*-un-lft-identity
588×sqrt-prod
437×add-cube-cbrt
244×associate-*r*
170×difference-of-squares
85×distribute-lft-out--
46×associate-/l*
20×add-cbrt-cube add-exp-log
16×div-inv
12×associate-/r*
7×cbrt-undiv div-exp unswap-sqr
6×pow1 add-log-exp
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×fma-def flip3-+ div-sub prod-exp cbrt-unprod flip-+ associate-/l/
2×frac-times clear-num frac-2neg associate-*l/ distribute-lft-out
1×+-commutative sum-log flip3-- pow-prod-down associate-*r/ *-commutative flip--
Counts
4 → 663
Calls
4 calls:
9.0ms
(+ x (sqrt 3.0))
21.0ms
(/ (- x (sqrt 3.0)) (sqrt 6.0))
147.0ms
(* (+ x (sqrt 3.0)) (/ (/ (- x (sqrt 3.0)) (sqrt 6.0)) (sqrt 6.0)))
30.0ms
(/ (/ (- x (sqrt 3.0)) (sqrt 6.0)) (sqrt 6.0))

series828.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ x (sqrt 3.0))
152.0ms
(/ (- x (sqrt 3.0)) (sqrt 6.0))
397.0ms
(* (+ x (sqrt 3.0)) (/ (/ (- x (sqrt 3.0)) (sqrt 6.0)) (sqrt 6.0)))
216.0ms
(/ (/ (- x (sqrt 3.0)) (sqrt 6.0)) (sqrt 6.0))

simplify2.9s

Counts
675 → 675
Iterations
IterNodes
done5087
23944
11367
0499

prune1.6s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample628.0ms

Algorithm
intervals
Results
414.0ms10659×body80valid