Details

Time bar (total: 3.9s)

sample14.0ms

Algorithm
intervals
Results
6.0ms339×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

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×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
7.0ms
(* x (- 1.0 (* x y)))

series40.0ms

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

simplify89.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122130
1534113
22890113
35002113

prune43.0ms

Filtered
27 candidates to 16 candidates (59.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* x y)))
1.0ms
(cbrt (- 1.0 (* x y)))
1.0ms
(cbrt (- 1.0 (* x y)))
14.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series914.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(cbrt (- 1.0 (* x y)))
231.0ms
(cbrt (- 1.0 (* x y)))
229.0ms
(cbrt (- 1.0 (* x y)))
217.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03541088
113681031
25001970

prune277.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series728.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt x) (cbrt x))
172.0ms
(cbrt x)
173.0ms
(cbrt x)
184.0ms
(cbrt x)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune176.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x y) (* x y))
1.6b
(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
5.2b
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
5.2b
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
28×add-exp-log cbrt-div
20×add-cbrt-cube
17×pow-prod-down
12×prod-exp cbrt-unprod
8×cbrt-prod frac-times flip3-- associate-/r/ flip-- associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
4×cbrt-undiv associate-*r/ div-exp associate-*l/ pow-sqr pow-prod-up add-log-exp
2×pow-plus pow1/3 difference-of-squares
1×pow2 frac-2neg times-frac swap-sqr associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv associate-/l*
Counts
4 → 99
Calls
4 calls:
13.0ms
(* (* x y) (* x y))
17.0ms
(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
2.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
2.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

series528.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* x y) (* x y))
263.0ms
(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
114.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
115.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify65.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05411477
121791209
250011184

prune338.0ms

Filtered
111 candidates to 73 candidates (65.8%)
Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes90.0ms

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
083
183

end0.0ms

sample346.0ms

Algorithm
intervals
Results
191.0ms10659×body80valid