Details

Time bar (total: 2.3s)

sample22.0ms

Algorithm
intervals
Results
13.0ms325×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1193
2283
3403
4503
5733
61023
71183
81453
91743
101903
111903

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×fma-def associate-/r*
2×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
1×cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out
Counts
2 → 58
Calls
2 calls:
8.0ms
(/ (- y x) z)
16.0ms
(+ x (/ (- y x) z))

series47.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- y x) z)
22.0ms
(+ x (/ (- y x) z))

simplify62.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0230286
1705273
23068273
35001273

prune120.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
52×prod-diff
50×add-sqr-sqrt
45×add-cube-cbrt
37×times-frac
16×distribute-lft-out
9×add-log-exp
4×fma-neg div-inv
3×fma-def
2×pow1 add-exp-log expm1-log1p-u flip3-+ diff-log sum-log frac-sub add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out-- difference-of-squares
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
2 → 95
Calls
2 calls:
70.0ms
(- (+ x (/ y z)) (/ x z))
6.0ms
(+ x (/ y z))

series39.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(- (+ x (/ y z)) (/ x z))
16.0ms
(+ x (/ y z))

simplify48.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04521584
114671108
25002997

prune111.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×*-un-lft-identity
13×associate-*r*
11×add-exp-log add-cube-cbrt times-frac
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp add-log-exp
3×fma-def unswap-sqr
2×expm1-log1p-u frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod log1p-expm1-u
1×cbrt-undiv +-commutative rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 60
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ 1 z)))
15.0ms
(* (- y x) (/ 1 z))

series49.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ x (* (- y x) (/ 1 z)))
28.0ms
(* (- y x) (/ 1 z))

simplify36.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0306322
11269279
25002264

prune120.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (+ (sqrt y) (sqrt x)) (/ (- (sqrt y) (sqrt x)) z)))
0.0b
(- (sqrt y) (sqrt x))
0.0b
(/ (- (sqrt y) (sqrt x)) z)
0.1b
(* (+ (sqrt y) (sqrt x)) (/ (- (sqrt y) (sqrt x)) z))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
128×add-sqr-sqrt
95×*-un-lft-identity
89×sqrt-prod
59×add-cube-cbrt
55×times-frac
36×prod-diff
32×difference-of-squares
31×associate-*r*
16×distribute-lft-out--
11×add-exp-log add-cbrt-cube
9×associate-/l*
8×add-log-exp
6×pow1 fma-neg
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u
3×fma-def flip3-+ associate-/r* flip-+
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ distribute-lft-out unswap-sqr
1×+-commutative sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
4 → 192
Calls
4 calls:
4.0ms
(+ x (* (+ (sqrt y) (sqrt x)) (/ (- (sqrt y) (sqrt x)) z)))
8.0ms
(- (sqrt y) (sqrt x))
23.0ms
(/ (- (sqrt y) (sqrt x)) z)
47.0ms
(* (+ (sqrt y) (sqrt x)) (/ (- (sqrt y) (sqrt x)) z))

series251.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ x (* (+ (sqrt y) (sqrt x)) (/ (- (sqrt y) (sqrt x)) z)))
48.0ms
(- (sqrt y) (sqrt x))
43.0ms
(/ (- (sqrt y) (sqrt x)) z)
122.0ms
(* (+ (sqrt y) (sqrt x)) (/ (- (sqrt y) (sqrt x)) z))

simplify84.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06432134
128121724
250011624

prune358.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample602.0ms

Algorithm
intervals
Results
391.0ms10056×body80valid