Details

Time bar (total: 4.3s)

sample16.0ms

Algorithm
intervals
Results
6.0ms299×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
3.4b
(* x (- 1.0 (* y z)))

rewrite10.0ms

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×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
2.0ms
(- 1.0 (* y z))
7.0ms
(* x (- 1.0 (* y z)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- 1.0 (* y z))
46.0ms
(* x (- 1.0 (* y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0143187
1560166
22091166
35003166

prune80.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.4b

localize9.0ms

Local error

Found 4 expressions with local error:

3.4b
(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
3.5b
(cbrt (- 1.0 (* y z)))
3.5b
(cbrt (- 1.0 (* y z)))
3.5b
(cbrt (- 1.0 (* y z)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*r/
30×flip3-- flip--
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 86
Calls
4 calls:
80.0ms
(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
1.0ms
(cbrt (- 1.0 (* y z)))
1.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series721.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
217.0ms
(cbrt (- 1.0 (* y z)))
226.0ms
(cbrt (- 1.0 (* y z)))
228.0ms
(cbrt (- 1.0 (* y z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
04471303
113171199
250011122

prune299.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(* (cbrt x) (- 1.0 (* y z)))
2.3b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
8.0ms
(* (cbrt x) (- 1.0 (* y z)))
25.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series598.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt x)
172.0ms
(cbrt x)
178.0ms
(* (cbrt x) (- 1.0 (* y z)))
75.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0298655
11298490
25001423

prune183.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.4b

localize18.0ms

Local error

Found 4 expressions with local error:

3.5b
(cbrt (- 1.0 (* y z)))
3.6b
(cbrt (+ 1.0 (* y z)))
3.9b
(/ (* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))) (cbrt (- 1.0 (* y z))))) (cbrt (+ 1.0 (* y z))))
9.4b
(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-div
34×associate-*r/
29×flip3-- flip--
28×frac-times
26×associate-/l/
18×add-exp-log
16×cbrt-prod
14×associate-*l/
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×add-cbrt-cube
6×times-frac prod-exp associate-/r* cbrt-unprod
4×pow1 cbrt-undiv div-exp add-log-exp
3×pow1/3
2×flip3-+ associate-/r/ flip-+
1×frac-2neg clear-num div-inv associate-/l* difference-of-squares
Counts
4 → 99
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (+ 1.0 (* y z)))
102.0ms
(/ (* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))) (cbrt (- 1.0 (* y z))))) (cbrt (+ 1.0 (* y z))))
2.0ms
(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

series694.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(cbrt (- 1.0 (* y z)))
179.0ms
(cbrt (+ 1.0 (* y z)))
167.0ms
(/ (* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))) (cbrt (- 1.0 (* y z))))) (cbrt (+ 1.0 (* y z))))
115.0ms
(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

simplify73.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06831903
125551740
250011720

prune466.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 3.4b

regimes206.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.1b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample425.0ms

Algorithm
intervals
Results
214.0ms9659×body80valid