Details

Time bar (total: 1.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms352×body80valid

simplify37.0ms

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))

rewrite11.0ms

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 expm1-log1p-u flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
10.0ms
(/ (- (+ 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
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0208207
1763178
23630178
35002178

prune72.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
63×*-un-lft-identity
56×prod-diff
38×add-sqr-sqrt
36×add-cube-cbrt
19×div-inv
11×distribute-lft-out
8×fma-neg
7×add-exp-log add-cbrt-cube
4×associate-/l* add-log-exp
3×distribute-lft-out--
2×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u 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 → 112
Calls
2 calls:
16.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
6.0ms
(/ (+ x y) (* t 2.0))

series70.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
34.0ms
(/ (+ x y) (* t 2.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04761714
115491268
250021158

prune160.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
35×*-un-lft-identity
34×times-frac
23×add-exp-log
22×associate-*r*
18×add-cube-cbrt
13×associate-*l* add-cbrt-cube
8×div-exp prod-exp
6×distribute-lft-out-- unswap-sqr
4×cbrt-undiv cbrt-unprod
3×pow1 distribute-lft-out difference-of-squares
2×rec-exp 1-exp div-inv
1×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 67
Calls
1 calls:
16.0ms
(* (/ 1 t) (/ (- (+ x y) z) 2.0))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (/ 1 t) (/ (- (+ x y) z) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0400513
11807434
25003428

prune122.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (sqrt (+ x y)) t)
0.1b
(fma (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0) (- (/ z (* t 2.0))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
21×times-frac
18×add-sqr-sqrt add-cube-cbrt
16×sqrt-prod
7×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out
3×associate-/r*
2×pow1 expm1-log1p-u sqrt-div log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef div-inv
Counts
2 → 57
Calls
2 calls:
6.0ms
(/ (sqrt (+ x y)) t)
1.0ms
(fma (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0) (- (/ z (* t 2.0))))

series220.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (sqrt (+ x y)) t)
172.0ms
(fma (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0) (- (/ z (* t 2.0))))

simplify60.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0229465
1610427
22087416
35001416

prune164.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes124.0ms

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
0126
1126

end0.0ms

sample536.0ms

Algorithm
intervals
Results
280.0ms10876×body80valid