Details

Time bar (total: 3.0s)

sample20.0ms

Algorithm
intervals
Results
9.0ms342×body80valid

simplify35.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
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))

rewrite36.0ms

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:
35.0ms
(/ (- (+ x y) z) (* t 2.0))

series42.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203198
1740169
23492169
35001169

prune82.0ms

Filtered
33 candidates to 23 candidates (69.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
16×times-frac
12×add-sqr-sqrt
9×add-log-exp
8×distribute-lft-out
7×add-cube-cbrt
5×distribute-lft-out--
3×frac-sub
2×pow1 add-exp-log flip3-+ diff-log frac-add sum-log add-cbrt-cube flip-+ div-inv difference-of-squares
1×+-commutative sub-neg distribute-rgt-out flip3-- associate--l+ flip--
Counts
2 → 41
Calls
2 calls:
15.0ms
(+ (/ y t) (/ x t))
135.0ms
(- (+ (/ y t) (/ x t)) (/ z t))

series35.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ (/ y t) (/ x t))
20.0ms
(- (+ (/ y t) (/ x t)) (/ z t))

simplify50.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0220339
1671323
22370316
35002316

prune101.0ms

Filtered
47 candidates to 35 candidates (74.5%)
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)))

rewrite45.0ms

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:
18.0ms
(/ (* t 2.0) (- (+ x y) z))
22.0ms
(/ 1 (/ (* t 2.0) (- (+ x y) z)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (* t 2.0) (- (+ x y) z))
45.0ms
(/ 1 (/ (* t 2.0) (- (+ x y) z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0419879
12123771
25002694

prune138.0ms

Filtered
111 candidates to 53 candidates (47.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sqrt t))
0.1b
(/ x (sqrt t))
0.1b
(/ z (sqrt t))
0.2b
(* (/ 1 (sqrt t)) (- (+ (/ y (sqrt t)) (/ x (sqrt t))) (/ z (sqrt t))))

rewrite581.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
112×*-un-lft-identity
107×add-sqr-sqrt
69×add-cube-cbrt
66×sqrt-prod
22×associate-*l*
21×add-exp-log
20×associate-*r*
18×associate-/r*
15×add-cbrt-cube
14×distribute-lft-out--
13×distribute-lft-out
9×associate-/l*
8×pow1
6×div-exp frac-sub
5×frac-times associate-*r/ unswap-sqr
4×cbrt-undiv prod-exp div-inv add-log-exp
3×distribute-rgt-in pow-flip frac-2neg distribute-lft-in clear-num difference-of-squares
2×sub-neg rec-exp flip3-- flip3-+ 1-exp frac-add associate--l+ flip-- cbrt-unprod flip-+
1×sqrt-pow1 pow1/2 pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 202
Calls
4 calls:
3.0ms
(/ 1 (sqrt t))
3.0ms
(/ x (sqrt t))
3.0ms
(/ z (sqrt t))
564.0ms
(* (/ 1 (sqrt t)) (- (+ (/ y (sqrt t)) (/ x (sqrt t))) (/ z (sqrt t))))

series295.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ 1 (sqrt t))
39.0ms
(/ x (sqrt t))
43.0ms
(/ z (sqrt t))
182.0ms
(* (/ 1 (sqrt t)) (- (+ (/ y (sqrt t)) (/ x (sqrt t))) (/ z (sqrt t))))

simplify90.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08681866
139871651
250011595

prune439.0ms

Filtered
214 candidates to 132 candidates (61.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes119.0ms

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
0136
1136

end0.0ms

sample533.0ms

Algorithm
intervals
Results
273.0ms10872×body80valid