Details

Time bar (total: 3.1s)

sample19.0ms

Algorithm
intervals
Results
9.0ms321×body80valid

simplify73.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.9b
(/ (* x (+ (- y z) 1.0)) z)

rewrite24.0ms

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:
13.0ms
(* x (+ (- y z) 1.0))
10.0ms
(/ (* x (+ (- y z) 1.0)) z)

series73.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* x (+ (- y z) 1.0))
41.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0262303
11268253
25002253

prune352.0ms

Filtered
57 candidates to 39 candidates (68.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New52557
Fresh000
Picked011
Done000
Total52658

Merged error: 0.0b

Counts
58 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.2b
(/ 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)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ z (+ (- y z) 1.0))
46.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify104.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
04631195
121431142
250011140

prune264.0ms

Filtered
149 candidates to 98 candidates (65.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1472149
Fresh314
Picked101
Done011
Total1514155

Merged error: 0b

Counts
155 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
0.3b
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
3.2b
(/ (/ z (+ (- y z) 1.0)) x)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
595×*-un-lft-identity
335×add-sqr-sqrt add-cube-cbrt
104×distribute-lft-out
75×associate-/r*
52×distribute-lft-out--
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 441
Calls
3 calls:
8.0ms
(/ z (+ (- y z) 1.0))
23.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
16.0ms
(/ (/ z (+ (- y z) 1.0)) x)

series149.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ z (+ (- y z) 1.0))
38.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
65.0ms
(/ (/ z (+ (- y z) 1.0)) x)

simplify88.0ms

Algorithm
egg-herbie
Counts
450 → 450
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
012854886
150014399

prune700.0ms

Filtered
450 candidates to 248 candidates (55.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4500450
Fresh022
Picked011
Done011
Total4504454

Merged error: 0b

Counts
454 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.7b
(* x (/ (+ (- y z) 1.0) z))

rewrite29.0ms

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)
13.0ms
(* x (/ (+ (- y z) 1.0) z))

series67.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (+ (- y z) 1.0) z)
41.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify44.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0274497
11191450
25001447

prune128.0ms

Filtered
86 candidates to 53 candidates (61.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh011
Picked011
Done022
Total86490

Merged error: 0b

Counts
90 → 4

regimes116.0ms

Accuracy

87.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.1b

bsearch84.0ms

Steps
ItersRangePoint
8
6.069280818258009e+59
1.9081289570500045e+62
6.2657052839146395e+59
11
-4.439562019202243e+67
-1.3504128905520332e+41
-1.3691489497769028e+41

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample514.0ms

Algorithm
intervals
Results
303.0ms10113×body80valid