Details

Time bar (total: 2.3s)

sample14.0ms

Algorithm
intervals
Results
6.0ms337×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
5.0ms
(* x (- 1.0 (* x y)))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* x (- 1.0 (* x y)))

simplify85.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122130
1534113
22890113
35002113

prune49.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (- (* x y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
associate-*r*
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube
distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
5.0ms
(* x (- (* x y)))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* x (- (* x y)))

simplify117.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
099102
155492
2388892
3500192

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:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(* (cbrt x) (cbrt x))

series735.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
178.0ms
(cbrt x)
175.0ms
(cbrt x)
200.0ms
(* (cbrt x) (cbrt x))

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0115288
1479261
22963238
35002235

prune206.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (* x y) (* x y))
1.0b
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
6.4b
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
22×add-exp-log add-cbrt-cube
18×pow-prod-down
10×prod-exp cbrt-unprod
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
associate-*r*
associate-*r/ associate-*l* pow-sqr pow-prod-up
times-frac associate-/r* add-log-exp
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in pow-plus div-exp associate-/r/ *-commutative flip-- associate-/l/
pow2 frac-2neg flip3-+ swap-sqr clear-num flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
6.0ms
(* (* x y) (* x y))
6.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
8.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (* x y) (* x y))
72.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
88.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0381646
12121527
25003527

prune139.0ms

Pruning

6 alts after pruning (5 fresh and 1 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

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0185
1235
2245
3245

end0.0ms

sample356.0ms

Algorithm
intervals
Results
195.0ms10651×body80valid