Details

Time bar (total: 14.9s)

sample40.0ms

Algorithm
intervals
Results
19.0ms287×body80valid

simplify547.0ms

Counts
1 → 1
Iterations
IterNodes
done455
10455
9454
8438
7393
6337
5254
4168
375
230
115
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.1b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-cbrt-cube add-exp-log
7×*-un-lft-identity associate-*l*
6×associate-*r* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
43.0ms
(* (- x (/ 16.0 116.0)) 3.0)
58.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series125.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (- x (/ 16.0 116.0)) 3.0)
64.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.6s

Counts
53 → 53
Iterations
IterNodes
done5003
32715
2657
1212
088

prune291.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 add-cbrt-cube associate-*l* add-exp-log
4×*-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ add-cube-cbrt difference-of-squares
1×expm1-log1p-u times-frac flip3-- associate-*r* *-commutative log1p-expm1-u flip-- distribute-lft-out-- add-log-exp
Counts
1 → 25
Calls
1 calls:
45.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.8s

Counts
28 → 28
Iterations
IterNodes
done5015
32106
2533
1165
064

prune161.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (- x (/ 16.0 116.0)))
0.8b
(cbrt (- x (/ 16.0 116.0)))
0.8b
(cbrt (- x (/ 16.0 116.0)))
0.8b
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube 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 → 115
Calls
4 calls:
7.0ms
(cbrt (- x (/ 16.0 116.0)))
7.0ms
(cbrt (- x (/ 16.0 116.0)))
7.0ms
(cbrt (- x (/ 16.0 116.0)))
96.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))

series617.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt (- x (/ 16.0 116.0)))
168.0ms
(cbrt (- x (/ 16.0 116.0)))
130.0ms
(cbrt (- x (/ 16.0 116.0)))
153.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))

simplify2.4s

Counts
127 → 127
Iterations
IterNodes
done5003
33048
21082
1440
0190

prune767.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* x x))
0.1b
(* x (/ 16.0 116.0))
3.2b
(* y (* 3.0 (- (* x (* x x)) (* (/ 16.0 116.0) (* (/ 16.0 116.0) (/ 16.0 116.0))))))
14.9b
(/ (* y (* 3.0 (- (* x (* x x)) (* (/ 16.0 116.0) (* (/ 16.0 116.0) (/ 16.0 116.0)))))) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

rewrite456.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
25×pow1
22×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
15×associate-*r*
13×times-frac
12×distribute-rgt-in distribute-lft-in
11×prod-exp cbrt-unprod
9×associate-*l* associate-*r/
7×pow-prod-down
5×pow-prod-up
4×expm1-log1p-u cbrt-undiv sub-neg div-exp prod-diff log1p-expm1-u add-log-exp
3×associate-/r* *-commutative unswap-sqr
2×flip3-- associate-/r/ div-inv flip-- associate-/l/
1×pow2 clear-num frac-2neg flip3-+ pow-plus cube-unmult pow-sqr flip-+ associate-/l*
Counts
4 → 123
Calls
4 calls:
25.0ms
(* x (* x x))
22.0ms
(* x (/ 16.0 116.0))
149.0ms
(* y (* 3.0 (- (* x (* x x)) (* (/ 16.0 116.0) (* (/ 16.0 116.0) (/ 16.0 116.0))))))
252.0ms
(/ (* y (* 3.0 (- (* x (* x x)) (* (/ 16.0 116.0) (* (/ 16.0 116.0) (/ 16.0 116.0)))))) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

series445.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* x (* x x))
27.0ms
(* x (/ 16.0 116.0))
149.0ms
(* y (* 3.0 (- (* x (* x x)) (* (/ 16.0 116.0) (* (/ 16.0 116.0) (/ 16.0 116.0))))))
216.0ms
(/ (* y (* 3.0 (- (* x (* x x)) (* (/ 16.0 116.0) (* (/ 16.0 116.0) (/ 16.0 116.0)))))) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

simplify2.5s

Counts
135 → 135
Iterations
IterNodes
done5011
23306
1722
0241

prune668.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes293.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample740.0ms

Algorithm
intervals
Results
502.0ms9182×body80valid