Details

Time bar (total: 2.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms335×body80valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0224
1464
21214
32584
44344
56874
619574
750024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.8b
(/ (* x (+ (- y z) 1.0)) z)

rewrite21.0ms

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:
9.0ms
(* x (+ (- y z) 1.0))
10.0ms
(/ (* x (+ (- y z) 1.0)) z)

series81.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (+ (- y z) 1.0))
43.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0262303
11268253
25002253

prune126.0ms

Filtered
57 candidates to 39 candidates (68.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.7b
(/ x (/ z (+ (- y z) 1.0)))

rewrite28.0ms

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:
8.0ms
(/ z (+ (- y z) 1.0))
12.0ms
(/ x (/ z (+ (- y z) 1.0)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ z (+ (- y z) 1.0))
50.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
04631195
121431142
250011140

prune322.0ms

Filtered
149 candidates to 97 candidates (65.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.5b
(* x (/ (+ (- y z) 1.0) z))

rewrite30.0ms

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:
9.0ms
(/ (+ (- y z) 1.0) z)
17.0ms
(* x (/ (+ (- y z) 1.0) z))

series72.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (+ (- y z) 1.0) z)
45.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify51.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0274497
11191450
25001447

prune161.0ms

Filtered
86 candidates to 53 candidates (61.6%)
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)) x)
0.0b
(fma 1.0 (/ x z) (/ (* x y) z))
7.6b
(/ (* x y) z)

rewrite11.0ms

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:
4.0ms
(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
1.0ms
(fma 1.0 (/ x z) (/ (* x y) z))
5.0ms
(/ (* x y) z)

series127.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
54.0ms
(fma 1.0 (/ x z) (/ (* x y) z))
25.0ms
(/ (* x y) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0235493
11042390
25002384

prune159.0ms

Filtered
71 candidates to 48 candidates (67.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

93.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.8b

bsearch63.0ms

Steps
ItersRangePoint
7
5.616193884268055e+26
1.3326316262797509e+29
1.997253867240719e+28
7
-5.842910539166533e-128
-2.2675790174521313e-129
-4.742526340099376e-128

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02613
12613

end0.0ms

sample460.0ms

Algorithm
intervals
Results
257.0ms10184×body80valid