Details

Time bar (total: 2.7s)

sample22.0ms

Algorithm
intervals
Results
15.0ms392×body80valid

simplify195.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1354
2894
31574
41704
51864
62444
74424
813894
947614
1050014

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log prod-diff add-cbrt-cube
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
12.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify34.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0216252
1984214
25002203

prune54.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.2b
(* (* x x) 3.0)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×prod-exp
5×unswap-sqr
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod
3×expm1-log1p-u pow-prod-down log1p-expm1-u
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- fma-def flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 72
Calls
3 calls:
6.0ms
(* 2.0 (pow x 3))
8.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
7.0ms
(* (* x x) 3.0)

series162.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* 2.0 (pow x 3))
99.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
25.0ms
(* (* x x) 3.0)

simplify59.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0305350
11570308
25001301

prune156.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 3.0 (* x 2.0)))
0.2b
(* x (* x (- 3.0 (* x 2.0))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×distribute-rgt-in distribute-lft-in
18×prod-diff
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*l*
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×unswap-sqr
Counts
2 → 74
Calls
2 calls:
8.0ms
(* x (- 3.0 (* x 2.0)))
15.0ms
(* x (* x (- 3.0 (* x 2.0))))

series143.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* x (- 3.0 (* x 2.0)))
74.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0248535
11174460
25001440

prune96.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x (* x (- 3.0 (* x 2.0))))) (cbrt (* x (* x (- 3.0 (* x 2.0))))))
26.9b
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
26.9b
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
26.9b
(cbrt (* x (* x (- 3.0 (* x 2.0)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
38×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
15.0ms
(* (cbrt (* x (* x (- 3.0 (* x 2.0))))) (cbrt (* x (* x (- 3.0 (* x 2.0))))))
7.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
7.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
8.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))

series560.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(* (cbrt (* x (* x (- 3.0 (* x 2.0))))) (cbrt (* x (* x (- 3.0 (* x 2.0))))))
131.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
130.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
134.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04611279
116621190
250021023

prune254.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1196
2196

end0.0ms

sample600.0ms

Algorithm
intervals
Results
467.0ms12053×body80valid