Details

Time bar (total: 3.8s)

sample26.0ms

Algorithm
intervals
Results
11.0ms354×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0204
1414
2584
3774
41114
51714
62934
75214
87074
97874
109644
119884
129884

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (+ x y) z) (* t 2.0))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
7×add-sqr-sqrt
6×add-exp-log times-frac add-cbrt-cube associate-/l*
4×distribute-lft-out--
3×add-cube-cbrt
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out difference-of-squares
1×pow1 flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
68.0ms
(/ (- (+ x y) z) (* t 2.0))

series35.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203198
1740169
23492169
35001169

prune58.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) (* t 2.0))
0.0b
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
8×times-frac
7×add-exp-log add-cbrt-cube
6×add-sqr-sqrt
4×add-cube-cbrt associate-/l* add-log-exp
3×div-inv distribute-lft-out distribute-lft-out--
2×pow1 cbrt-undiv div-exp associate-/l/
1×sub-neg flip3-- distribute-rgt-out-- frac-2neg flip3-+ diff-log prod-exp clear-num associate-/r* frac-sub flip-- cbrt-unprod flip-+ sub-div difference-of-squares
Counts
2 → 44
Calls
2 calls:
19.0ms
(/ (+ x y) (* t 2.0))
56.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series62.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (+ x y) (* t 2.0))
33.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0268324
1890289
23645287
35001287

prune90.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* t 2.0) (- (+ x y) z))
0.3b
(/ 1 (/ (* t 2.0) (- (+ x y) z)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
55×*-un-lft-identity
37×add-sqr-sqrt
28×add-exp-log
25×add-cube-cbrt
18×associate-/r*
16×add-cbrt-cube
14×div-exp
12×distribute-lft-out--
11×associate-/r/
7×cbrt-undiv
6×div-inv distribute-lft-out difference-of-squares
5×flip3-- flip--
4×prod-exp associate-/l*
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num cbrt-unprod add-log-exp
1×pow-flip inv-pow
Counts
2 → 105
Calls
2 calls:
37.0ms
(/ (* t 2.0) (- (+ x y) z))
44.0ms
(/ 1 (/ (* t 2.0) (- (+ x y) z)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (* t 2.0) (- (+ x y) z))
38.0ms
(/ 1 (/ (* t 2.0) (- (+ x y) z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0419879
12123771
25002694

prune134.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

3.0b
(+ (* z z) (* (+ x y) z))
5.9b
(/ (* t 2.0) (- (pow (+ x y) 3) (pow z 3)))
6.6b
(- (pow (+ x y) 3) (pow z 3))
43.4b
(* (/ 1 (/ (* t 2.0) (- (pow (+ x y) 3) (pow z 3)))) (/ 1 (+ (* (+ x y) (+ x y)) (+ (* z z) (* (+ x y) z)))))

rewrite555.0ms

Algorithm
rewrite-expression-head
Rules
242×times-frac
223×add-sqr-sqrt
193×*-un-lft-identity
147×add-exp-log
110×associate-*l*
96×unpow-prod-down cube-prod difference-of-squares
70×div-exp
55×add-cube-cbrt
54×distribute-lft-out--
53×prod-exp
48×sqr-pow
41×add-cbrt-cube
31×associate-*r*
29×associate-/r*
27×associate-/r/
24×distribute-lft-out
22×rec-exp flip3-+ 1-exp flip-+
16×cbrt-undiv frac-add
11×cbrt-unprod
9×frac-times unswap-sqr
8×pow1 add-log-exp
6×difference-cubes div-inv
5×flip3-- associate-*r/ associate-*l/ flip--
3×pow-prod-down
2×pow-flip inv-pow
1×+-commutative sub-neg distribute-rgt-out frac-2neg diff-log clear-num sum-log un-div-inv *-commutative associate-/l*
Counts
4 → 338
Calls
4 calls:
9.0ms
(+ (* z z) (* (+ x y) z))
86.0ms
(/ (* t 2.0) (- (pow (+ x y) 3) (pow z 3)))
79.0ms
(- (pow (+ x y) 3) (pow z 3))
356.0ms
(* (/ 1 (/ (* t 2.0) (- (pow (+ x y) 3) (pow z 3)))) (/ 1 (+ (* (+ x y) (+ x y)) (+ (* z z) (* (+ x y) z)))))

series563.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (* z z) (* (+ x y) z))
153.0ms
(/ (* t 2.0) (- (pow (+ x y) 3) (pow z 3)))
143.0ms
(- (pow (+ x y) 3) (pow z 3))
243.0ms
(* (/ 1 (/ (* t 2.0) (- (pow (+ x y) 3) (pow z 3)))) (/ 1 (+ (* (+ x y) (+ x y)) (+ (* z z) (* (+ x y) z)))))

simplify86.0ms

Algorithm
egg-herbie
Counts
350 → 350
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
017595576
150015093

prune829.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.0b 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
0126
1126

end0.0ms

sample624.0ms

Algorithm
intervals
Results
268.0ms10935×body80valid