Details

Time bar (total: 2.8s)

sample22.0ms

Algorithm
intervals
Results
9.0ms339×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))

rewrite43.0ms

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:
42.0ms
(/ (- (+ x y) z) (* t 2.0))

series41.0ms

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

simplify76.0ms

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: 0.0b

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))

rewrite499.0ms

Algorithm
rewrite-expression-head
Rules
664×*-un-lft-identity
491×times-frac
320×add-sqr-sqrt
312×prod-diff
308×add-cube-cbrt
172×distribute-lft-out
107×distribute-rgt-in distribute-lft-in div-inv
41×distribute-rgt-out
13×fma-def
10×associate-*r* distribute-lft-out-- add-log-exp
8×fma-neg
6×frac-sub
5×pow1 add-exp-log associate-*r/ add-cbrt-cube
4×difference-of-squares
3×expm1-log1p-u sub-neg flip3-+ associate-*l* frac-add associate--l+ flip-+ log1p-expm1-u
2×flip3-- diff-log sum-log flip--
1×+-commutative pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 416
Calls
3 calls:
288.0ms
(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
158.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
16.0ms
(+ (/ y t) (/ x t))

series70.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
19.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
15.0ms
(+ (/ y t) (/ x t))

simplify125.0ms

Algorithm
egg-herbie
Counts
425 → 425
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
09419391
137677017
250016305

prune373.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 0.5 (- (fma y (/ 1 t) (/ x t)) (/ z t)))
0.0b
(- (fma y (/ 1 t) (/ x t)) (/ z t))
0.1b
(fma y (/ 1 t) (/ x t))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
120×add-sqr-sqrt
117×prod-diff
112×*-un-lft-identity
108×add-cube-cbrt
83×times-frac
42×distribute-rgt-in distribute-lft-in
9×div-inv
6×associate-*r*
5×pow1 add-exp-log add-cbrt-cube add-log-exp
4×fma-udef difference-of-squares
3×expm1-log1p-u sub-neg fma-neg associate-*l* associate--l+ log1p-expm1-u
2×flip3-- associate-*r/ flip-- distribute-lft-out--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 179
Calls
3 calls:
30.0ms
(* 0.5 (- (fma y (/ 1 t) (/ x t)) (/ z t)))
8.0ms
(- (fma y (/ 1 t) (/ x t)) (/ z t))
0.0ms
(fma y (/ 1 t) (/ x t))

series105.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* 0.5 (- (fma y (/ 1 t) (/ x t)) (/ z t)))
31.0ms
(- (fma y (/ 1 t) (/ x t)) (/ z t))
24.0ms
(fma y (/ 1 t) (/ x t))

simplify75.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05954003
123152948
250012580

prune205.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite53.0ms

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:
50.0ms
(* (/ 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

prune121.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes122.0ms

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

sample569.0ms

Algorithm
intervals
Results
288.0ms10747×body80valid