Details

Time bar (total: 3.0s)

sample16.0ms

Algorithm
intervals
Results
9.0ms324×body80valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1414
2694
3904
41054
51474
62264
73684
84154
94154

prune2.0ms

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)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ 0.253 (* x 0.12))
5.0ms
(* x (+ 0.253 (* x 0.12)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ 0.253 (* x 0.12))
66.0ms
(* x (+ 0.253 (* x 0.12)))

simplify114.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166173
1767154
24026154
35002154

prune76.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 0.253 (* x 0.12))
0.1b
(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
0.2b
(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
0.3b
(* (* x 0.12) (* x 0.12))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
27×add-sqr-sqrt
25×times-frac
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
19×associate-*r*
18×pow-prod-down
10×prod-exp cbrt-unprod
7×difference-of-squares
6×add-log-exp
4×flip3-- associate-*l* associate-/r/ pow-sqr pow-prod-up flip-- associate-/l*
3×associate-/r*
2×cbrt-undiv pow-plus div-exp *-commutative div-inv associate-/l/ unswap-sqr
1×pow2 sub-neg frac-2neg diff-log div-sub associate-*r/ swap-sqr clear-num
Counts
4 → 119
Calls
4 calls:
3.0ms
(- 0.253 (* x 0.12))
10.0ms
(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
8.0ms
(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
7.0ms
(* (* x 0.12) (* x 0.12))

series344.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- 0.253 (* x 0.12))
163.0ms
(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
120.0ms
(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
24.0ms
(* (* x 0.12) (* x 0.12))

simplify80.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
04321058
12467888
25001828

prune235.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (- 0.253 (* x 0.12)))
0.1b
(* x (* (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (/ 1 (- 0.253 (* x 0.12)))))
0.2b
(* (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (/ 1 (- 0.253 (* x 0.12))))
0.3b
(* (* x 0.12) (* x 0.12))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
51×pow1
44×add-exp-log
32×add-cbrt-cube
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt pow-prod-down prod-exp
20×times-frac
17×associate-*r*
15×cbrt-unprod
8×associate-*r/ associate-*l*
6×flip3-- div-exp flip--
4×frac-times associate-*l/ associate-/r/ pow-sqr pow-prod-up add-log-exp
3×cbrt-undiv rec-exp 1-exp associate-/r* *-commutative associate-/l* unswap-sqr
2×pow-plus un-div-inv div-inv
1×pow2 pow-flip frac-2neg swap-sqr clear-num inv-pow difference-of-squares
Counts
4 → 138
Calls
4 calls:
5.0ms
(/ 1 (- 0.253 (* x 0.12)))
12.0ms
(* x (* (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (/ 1 (- 0.253 (* x 0.12)))))
12.0ms
(* (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (/ 1 (- 0.253 (* x 0.12))))
7.0ms
(* (* x 0.12) (* x 0.12))

series355.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ 1 (- 0.253 (* x 0.12)))
170.0ms
(* x (* (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (/ 1 (- 0.253 (* x 0.12)))))
117.0ms
(* (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (/ 1 (- 0.253 (* x 0.12))))
29.0ms
(* (* x 0.12) (* x 0.12))

simplify158.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (146.0ms)

IterNodesCost
05111199
13365988
25003873

prune243.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (- 0.253 (* x 0.12)))
0.1b
(* x (* (- (* 0.253 0.253) (* 0.0144 (pow x 2))) (/ 1 (- 0.253 (* x 0.12)))))
0.1b
(* (- (* 0.253 0.253) (* 0.0144 (pow x 2))) (/ 1 (- 0.253 (* x 0.12))))
0.2b
(* 0.0144 (pow x 2))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt associate-*r*
22×add-cbrt-cube
20×times-frac
16×prod-exp
12×pow1
9×associate-*l*
8×associate-*r/ cbrt-unprod
7×unswap-sqr
6×flip3-- div-exp flip--
4×frac-times unpow-prod-down pow-prod-down associate-*l/ associate-/r/ add-log-exp
3×cbrt-undiv rec-exp 1-exp associate-/r* *-commutative associate-/l*
2×un-div-inv div-inv unpow2 sqr-pow
1×pow-to-exp pow-flip frac-2neg pow-exp clear-num inv-pow
Counts
4 → 130
Calls
4 calls:
5.0ms
(/ 1 (- 0.253 (* x 0.12)))
12.0ms
(* x (* (- (* 0.253 0.253) (* 0.0144 (pow x 2))) (/ 1 (- 0.253 (* x 0.12)))))
11.0ms
(* (- (* 0.253 0.253) (* 0.0144 (pow x 2))) (/ 1 (- 0.253 (* x 0.12))))
6.0ms
(* 0.0144 (pow x 2))

series352.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ 1 (- 0.253 (* x 0.12)))
167.0ms
(* x (* (- (* 0.253 0.253) (* 0.0144 (pow x 2))) (/ 1 (- 0.253 (* x 0.12)))))
118.0ms
(* (- (* 0.253 0.253) (* 0.0144 (pow x 2))) (/ 1 (- 0.253 (* x 0.12))))
30.0ms
(* 0.0144 (pow x 2))

simplify76.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05271132
12682954
25002926

prune308.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes46.0ms

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
01410
11410

end0.0ms

sample305.0ms

Algorithm
intervals
Results
193.0ms10670×body80valid