Details

Time bar (total: 2.4s)

sample30.0ms

Algorithm
intervals
Results
16.0ms336×body80valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0224
1464
21214
32584
44344
56874
619574
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.2b
(/ (* x (+ (- y z) 1.0)) z)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
37.0ms
(* x (+ (- y z) 1.0))
18.0ms
(/ (* x (+ (- y z) 1.0)) z)

series75.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* x (+ (- y z) 1.0))
43.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify42.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0262303
11268253
25002253

prune118.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
1.4b
(/ x (/ z (+ (- y z) 1.0)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
18.0ms
(/ z (+ (- y z) 1.0))
24.0ms
(/ x (/ z (+ (- y z) 1.0)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ z (+ (- y z) 1.0))
50.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04631195
121431142
250011140

prune285.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
1.6b
(* x (/ (+ (- y z) 1.0) z))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 80
Calls
2 calls:
32.0ms
(/ (+ (- y z) 1.0) z)
44.0ms
(* x (/ (+ (- y z) 1.0) z))

series68.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (+ (- y z) 1.0) z)
43.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify40.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0274497
11191450
25001447

prune154.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1.0 (/ x z) (/ (* x y) z))
0.0b
(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
6.3b
(/ (* x y) z)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt
9×prod-diff
8×add-exp-log add-cbrt-cube
5×add-log-exp
3×pow1 expm1-log1p-u times-frac fma-neg associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp fma-udef
1×sub-neg flip3-- frac-2neg diff-log prod-exp associate--l+ clear-num flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 62
Calls
3 calls:
0.0ms
(fma 1.0 (/ x z) (/ (* x y) z))
3.0ms
(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
3.0ms
(/ (* x y) z)

series124.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(fma 1.0 (/ x z) (/ (* x y) z))
47.0ms
(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
22.0ms
(/ (* x y) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0235493
11042390
25002384

prune151.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes88.0ms

Accuracy

53.7% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 3.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02420
12420

end0.0ms

sample710.0ms

Algorithm
intervals
Results
495.0ms10188×body80valid