Details

Time bar (total: 8.5s)

sample21.0ms

Algorithm
intervals
Results
9.0ms342×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
100×*-un-lft-identity
75×add-sqr-sqrt
72×times-frac
35×add-cube-cbrt
26×distribute-lft-out--
21×associate-*r* associate-*l*
13×distribute-lft-out difference-of-squares
12×associate-/r*
7×*-commutative unswap-sqr
6×add-exp-log add-cbrt-cube associate-/l*
2×cbrt-undiv div-exp associate-/l/
1×pow1 expm1-log1p-u flip3-- frac-2neg div-sub prod-exp clear-num flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 109
Calls
1 calls:
14.0ms
(/ (- (+ x y) z) (* t 2.0))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0460918
11778889
25002889

prune131.0ms

Filtered
112 candidates to 68 candidates (60.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1102112
Fresh000
Picked011
Done000
Total1103113

Merged error: 0b

Counts
113 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite424.0ms

Algorithm
rewrite-expression-head
Rules
1680×*-un-lft-identity
1539×frac-add
1524×associate-/r* associate-/l*
1494×frac-sub
1336×add-sqr-sqrt
1324×add-cube-cbrt
749×associate-*r/
508×frac-2neg clear-num
491×times-frac
312×prod-diff
172×distribute-lft-out
108×distribute-rgt-in distribute-lft-in
107×div-inv
41×distribute-rgt-out
19×flip3-+ flip-+
13×fma-def
10×associate-*r* distribute-lft-out-- add-log-exp
8×fma-neg
6×associate--l+
5×pow1 add-exp-log add-cbrt-cube
4×+-commutative difference-of-squares
3×expm1-log1p-u sub-neg associate-*l* log1p-expm1-u
2×flip3-- diff-log sum-log flip--
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 1987
Calls
3 calls:
130.0ms
(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
61.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
15.0ms
(+ (/ y t) (/ x t))

series75.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
20.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
17.0ms
(+ (/ y t) (/ x t))

simplify377.0ms

Algorithm
egg-herbie
Counts
1996 → 1996
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
0500137320

prune3.4s

Filtered
1996 candidates to 1038 candidates (52.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New199511996
Fresh101
Picked011
Done011
Total199631999

Merged error: 0b

Counts
1999 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.9b
(* (/ t (cbrt y)) (* (cbrt x) (cbrt x)))
2.1b
(fma (* (cbrt y) (cbrt y)) (/ t (cbrt x)) (* (/ t (cbrt y)) (* (cbrt x) (cbrt x))))
23.3b
(/ (fma (* (cbrt y) (cbrt y)) (/ t (cbrt x)) (* (/ t (cbrt y)) (* (cbrt x) (cbrt x)))) (* (/ t (cbrt y)) (/ t (cbrt x))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
487×add-sqr-sqrt
402×times-frac
276×*-un-lft-identity
275×add-cube-cbrt
232×cbrt-prod
220×associate-/r*
170×associate-/r/
144×frac-times
121×associate-*r*
116×associate-*l*
85×associate-/l*
79×unswap-sqr
74×add-cbrt-cube
36×cbrt-unprod
34×add-exp-log
32×cbrt-undiv
29×clear-num
28×frac-2neg
24×associate-*l/
12×associate-*r/ swap-sqr
11×div-exp
10×prod-exp div-inv
9×pow1 *-commutative
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×un-div-inv
1×pow1/3 fma-udef
Counts
4 → 574
Calls
4 calls:
1.0ms
(cbrt y)
23.0ms
(* (/ t (cbrt y)) (* (cbrt x) (cbrt x)))
1.0ms
(fma (* (cbrt y) (cbrt y)) (/ t (cbrt x)) (* (/ t (cbrt y)) (* (cbrt x) (cbrt x))))
44.0ms
(/ (fma (* (cbrt y) (cbrt y)) (/ t (cbrt x)) (* (/ t (cbrt y)) (* (cbrt x) (cbrt x)))) (* (/ t (cbrt y)) (/ t (cbrt x))))

series934.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt y)
86.0ms
(* (/ t (cbrt y)) (* (cbrt x) (cbrt x)))
247.0ms
(fma (* (cbrt y) (cbrt y)) (/ t (cbrt x)) (* (/ t (cbrt y)) (* (cbrt x) (cbrt x))))
416.0ms
(/ (fma (* (cbrt y) (cbrt y)) (/ t (cbrt x)) (* (/ t (cbrt y)) (* (cbrt x) (cbrt x)))) (* (/ t (cbrt y)) (/ t (cbrt x))))

simplify155.0ms

Algorithm
egg-herbie
Counts
586 → 586
Iterations

Useful iterations: 1 (56.0ms)

IterNodesCost
0283613328
1500113191

prune1.9s

Filtered
586 candidates to 473 candidates (80.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New5860586
Fresh000
Picked011
Done022
Total5863589

Merged error: 0b

Counts
589 → 3

regimes155.0ms

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
0114
1114

end0.0ms

sample531.0ms

Algorithm
intervals
Results
275.0ms10866×body80valid