Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms325×body80valid

simplify201.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1344
2844
32064
44064
55404
67064
79574
814584
923844
1036584
1140314
1244294
1350024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.2b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- 1.0 y) z)
50.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify93.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune89.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms
(* (* x z) (- y 1.0))

series110.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
49.0ms
(* (* x z) (- y 1.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0257266
11177224
25002219

prune82.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
3.2b
(* x (- 1.0 (* (* (- 1.0 y) (* (cbrt z) (cbrt z))) (cbrt z))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
5.0ms
(* x (- 1.0 (* (* (- 1.0 y) (* (cbrt z) (cbrt z))) (cbrt z))))

series609.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt z)
172.0ms
(cbrt z)
177.0ms
(cbrt z)
82.0ms
(* x (- 1.0 (* (* (- 1.0 y) (* (cbrt z) (cbrt z))) (cbrt z))))

simplify200.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0178432
1767360
24754337
35002337

prune168.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (* x z) (- y 1.0))
3.4b
(* (* x z) (- y 1.0))
5.2b
(sqrt (* (* x z) (- y 1.0)))
5.2b
(sqrt (* (* x z) (- y 1.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
26×pow1
14×add-exp-log add-cbrt-cube
12×pow-prod-down
10×add-sqr-sqrt *-un-lft-identity associate-*r*
8×associate-*r/
6×add-cube-cbrt sqrt-pow1 prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg flip3-- distribute-lft-in sqrt-div flip-- add-log-exp
2×pow1/2 associate-*l* sqrt-prod *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 80
Calls
4 calls:
7.0ms
(* (* x z) (- y 1.0))
7.0ms
(* (* x z) (- y 1.0))
5.0ms
(sqrt (* (* x z) (- y 1.0)))
6.0ms
(sqrt (* (* x z) (- y 1.0)))

series410.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (* x z) (- y 1.0))
44.0ms
(* (* x z) (- y 1.0))
172.0ms
(sqrt (* (* x z) (- y 1.0)))
145.0ms
(sqrt (* (* x z) (- y 1.0)))

simplify139.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0219440
1956380
24973376
35001376

prune192.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes403.0ms

Accuracy

87.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02817
12817

end0.0ms

sample424.0ms

Algorithm
intervals
Results
225.0ms10109×body80valid