Details

Time bar (total: 4.3s)

sample22.0ms

Algorithm
intervals
Results
15.0ms351×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0194
1454
2823
31273
41683
52243
63593
76663
87633
97633

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
7.0ms
(* x (+ 0.253 (* x 0.12)))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(* x (+ 0.253 (* x 0.12)))

simplify102.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0148125
1709104
23945101
35001101

prune59.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite83.0ms

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:
74.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
2.0ms
(cbrt (+ 0.253 (* x 0.12)))
2.0ms
(cbrt (+ 0.253 (* x 0.12)))
2.0ms
(cbrt (+ 0.253 (* x 0.12)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
124.0ms
(cbrt (+ 0.253 (* x 0.12)))
121.0ms
(cbrt (+ 0.253 (* x 0.12)))
127.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify64.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05391673
119601507
250021362

prune308.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))))

rewrite8.0ms

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:
1.0ms
(cbrt (- 0.253 (* x 0.12)))
2.0ms
(cbrt (+ 0.253 (* x 0.12)))
2.0ms
(cbrt (+ 0.253 (* x 0.12)))
3.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series628.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (- 0.253 (* x 0.12)))
129.0ms
(cbrt (+ 0.253 (* x 0.12)))
122.0ms
(cbrt (+ 0.253 (* x 0.12)))
246.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify57.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0540848
11973806
25001786

prune516.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
17×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip--
4×pow1 add-exp-log expm1-log1p-u frac-times pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ associate-*l/
1×flip3-+ flip-+ difference-of-squares
Counts
4 → 68
Calls
4 calls:
2.0ms
(cbrt (+ 0.253 (* x 0.12)))
2.0ms
(cbrt (cbrt (- 0.253 (* x 0.12))))
6.0ms
(cbrt (* (cbrt (- 0.253 (* x 0.12))) (cbrt (- 0.253 (* x 0.12)))))
2.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series655.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(cbrt (+ 0.253 (* x 0.12)))
133.0ms
(cbrt (cbrt (- 0.253 (* x 0.12))))
154.0ms
(cbrt (* (cbrt (- 0.253 (* x 0.12))) (cbrt (- 0.253 (* x 0.12)))))
242.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify70.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
07451101
126321046
250011031

prune460.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

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

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample583.0ms

Algorithm
intervals
Results
466.0ms10750×body80valid