Details

Time bar (total: 3.1s)

sample18.0ms

Algorithm
intervals
Results
7.0ms308×body80valid

simplify90.0ms

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: 12.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
11.8b
(/ (* x (+ (- y z) 1.0)) z)

rewrite64.0ms

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:
44.0ms
(* x (+ (- y z) 1.0))
19.0ms
(/ (* x (+ (- y z) 1.0)) z)

series84.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (+ (- y z) 1.0))
45.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0262303
11268253
25002253

prune129.0ms

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))
2.9b
(/ x (/ z (+ (- y z) 1.0)))

rewrite54.0ms

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:
19.0ms
(/ z (+ (- y z) 1.0))
24.0ms
(/ x (/ z (+ (- y z) 1.0)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ z (+ (- y z) 1.0))
49.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04631195
121431142
250011140

prune310.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
0.1b
(/ 1 (/ (+ (- y z) 1.0) z))
2.9b
(/ x (/ 1 (/ (+ (- y z) 1.0) z)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
726×times-frac
580×*-un-lft-identity
320×add-sqr-sqrt add-cube-cbrt
104×distribute-lft-out
84×associate-/r*
52×distribute-lft-out--
35×add-exp-log
23×div-inv
22×div-exp
19×add-cbrt-cube
11×associate-/l*
10×cbrt-undiv
6×associate-/r/
4×pow1 rec-exp 1-exp
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×associate-/l/
1×associate-+l- pow-flip flip3-+ div-sub flip-+ inv-pow
Counts
3 → 416
Calls
3 calls:
34.0ms
(/ (+ (- y z) 1.0) z)
28.0ms
(/ 1 (/ (+ (- y z) 1.0) z))
35.0ms
(/ x (/ 1 (/ (+ (- y z) 1.0) z)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (+ (- y z) 1.0) z)
73.0ms
(/ 1 (/ (+ (- y z) 1.0) z))
47.0ms
(/ x (/ 1 (/ (+ (- y z) 1.0) z)))

simplify88.0ms

Algorithm
egg-herbie
Counts
425 → 425
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
011304427
150023882

prune715.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

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)
9.0b
(/ (* 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)

series136.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(fma 1.0 (/ x z) (/ (* x y) z))
49.0ms
(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
23.0ms
(/ (* x y) z)

simplify48.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0235493
11042390
25002384

prune165.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes85.0ms

Accuracy

91.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.1b

bsearch90.0ms

Steps
ItersRangePoint
10
8.657839052247925e+45
2.434502102230579e+58
2.2731223542198846e+49
8
-7.255563364262488e+58
-3.473570168653008e+54
-2.619437989137485e+55

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample461.0ms

Algorithm
intervals
Results
251.0ms10104×body80valid