Details

Time bar (total: 13.6s)

sample15.0ms

Algorithm
intervals
Results
7.0ms332×body80valid

simplify24.0ms

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

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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:
33.0ms
(/ (- (* x x) 3.0) 6.0)

series100.0ms

Counts
1 → 3
Calls
1 calls:
100.0ms
(/ (- (* x x) 3.0) 6.0)

simplify1.9s

Counts
39 → 39
Iterations
IterNodes
done5002
31557
2454
1184
080

prune167.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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 log1p-expm1-u div-inv add-log-exp difference-of-squares
Counts
1 → 43
Calls
1 calls:
35.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

series130.0ms

Counts
1 → 3
Calls
1 calls:
130.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

simplify4.0s

Counts
46 → 46
Iterations
IterNodes
done5001
32770
2776
1261
0103

prune178.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

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:
19.0ms
(/ (- x (sqrt 3.0)) 6.0)
10.0ms
(- x (sqrt 3.0))
11.0ms
(+ x (sqrt 3.0))
54.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series433.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(/ (- x (sqrt 3.0)) 6.0)
73.0ms
(- x (sqrt 3.0))
37.0ms
(+ x (sqrt 3.0))
196.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify1.6s

Counts
159 → 159
Iterations
IterNodes
done5000
21420
1480
0192

prune621.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- (* x x) 3.0) (sqrt (/ 1 6.0)))
0.7b
(* (* (- (* x x) 3.0) (sqrt (/ 1 6.0))) (sqrt (/ 1 6.0)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-*r*
29×add-sqr-sqrt sqrt-prod
20×*-un-lft-identity times-frac
19×add-cube-cbrt
15×sqrt-div
11×frac-times associate-*l/
9×pow1 add-cbrt-cube add-exp-log
6×flip3-- flip--
5×associate-*l*
4×pow-prod-down prod-exp associate-*r/ cbrt-unprod unswap-sqr
2×expm1-log1p-u *-commutative log1p-expm1-u div-inv add-log-exp
1×difference-of-squares
Counts
2 → 86
Calls
2 calls:
44.0ms
(* (- (* x x) 3.0) (sqrt (/ 1 6.0)))
66.0ms
(* (* (- (* x x) 3.0) (sqrt (/ 1 6.0))) (sqrt (/ 1 6.0)))

series324.0ms

Counts
2 → 6
Calls
2 calls:
151.0ms
(* (- (* x x) 3.0) (sqrt (/ 1 6.0)))
173.0ms
(* (* (- (* x x) 3.0) (sqrt (/ 1 6.0))) (sqrt (/ 1 6.0)))

simplify2.7s

Counts
92 → 92
Iterations
IterNodes
done5004
32896
2946
1373
0149

prune347.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes133.0ms

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

sample663.0ms

Algorithm
intervals
Results
467.0ms10584×body80valid