Details

Time bar (total: 5.0s)

sample14.0ms

Algorithm
intervals
Results
6.0ms341×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0194
1454
2823
31273
41683
52243
63593
76663
87633
97633
done7633

prune4.0ms

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
(+ 0.253 (* x 0.12))
0.1b
(* x (+ 0.253 (* x 0.12)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×fma-def associate-*r* associate-*l*
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
6.0ms
(+ 0.253 (* x 0.12))
17.0ms
(* x (+ 0.253 (* x 0.12)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ 0.253 (* x 0.12))
64.0ms
(* x (+ 0.253 (* x 0.12)))

simplify111.0ms

Counts
46 → 46
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0175184
1809150
24290148
35001148
done5001148

prune94.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/
30×flip3-+ flip-+
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-cbrt-cube
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 97
Calls
4 calls:
133.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
121.0ms
(cbrt (+ 0.253 (* x 0.12)))
116.0ms
(cbrt (+ 0.253 (* x 0.12)))
117.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify64.0ms

Counts
109 → 109
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05391673
119601507
250021362
done50021362

prune306.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (- 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
1.2b
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×flip3-- flip3-+ flip-- flip-+
1×difference-of-squares
Counts
4 → 61
Calls
4 calls:
3.0ms
(cbrt (- 0.253 (* x 0.12)))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))
3.0ms
(cbrt (+ 0.253 (* x 0.12)))
9.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series607.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (- 0.253 (* x 0.12)))
119.0ms
(cbrt (+ 0.253 (* x 0.12)))
125.0ms
(cbrt (+ 0.253 (* x 0.12)))
234.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify55.0ms

Counts
73 → 73
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0540848
11973806
25001786
done5001786

prune358.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (+ 0.253 (* x 0.12)))
1.2b
(cbrt (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12)))))
4.6b
(/ (* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ (pow 0.253 3) (pow (* x 0.12) 3)))) (cbrt (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12))))))
6.8b
(cbrt (+ (pow 0.253 3) (pow (* x 0.12) 3)))

rewrite305.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-div
32×associate-*r/
31×flip3-+ flip-+
28×frac-times
26×associate-/l/
18×add-exp-log
17×cbrt-prod
14×associate-*l/
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×add-cbrt-cube
6×times-frac prod-exp associate-/r* cbrt-unprod
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow1/3
2×associate-/r/
1×frac-2neg clear-num sum-cubes div-inv distribute-lft-out associate-/l*
Counts
4 → 108
Calls
4 calls:
3.0ms
(cbrt (+ 0.253 (* x 0.12)))
51.0ms
(cbrt (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12)))))
234.0ms
(/ (* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ (pow 0.253 3) (pow (* x 0.12) 3)))) (cbrt (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12))))))
12.0ms
(cbrt (+ (pow 0.253 3) (pow (* x 0.12) 3)))

series997.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(cbrt (+ 0.253 (* x 0.12)))
144.0ms
(cbrt (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12)))))
306.0ms
(/ (* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ (pow 0.253 3) (pow (* x 0.12) 3)))) (cbrt (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12))))))
428.0ms
(cbrt (+ (pow 0.253 3) (pow (* x 0.12) 3)))

simplify110.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
010162542
141672390
250012384
done50012384

prune658.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114
done114

end0.0ms

sample485.0ms

Algorithm
intervals
Results
333.0ms10638×body80valid