Details

Time bar (total: 1.3s)

sample19.0ms

Algorithm
intervals
Results
9.0ms323×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0224
1444
21144
32204
43544
55504
616694
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: 10.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.2b
(/ (* x (+ (- y z) 1.0)) z)

rewrite22.0ms

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 flip3-+ div-exp prod-exp cbrt-unprod flip-+ 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 → 47
Calls
2 calls:
12.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

series70.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* x (+ (- y z) 1.0))
39.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify39.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0254285
11225238
25001238

prune89.0ms

Filtered
53 candidates to 35 candidates (66.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New48553
Fresh000
Picked101
Done000
Total49554

Merged error: 0b

Counts
54 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
1.7b
(/ x (/ z (+ (- y z) 1.0)))

rewrite26.0ms

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 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
7.0ms
(/ z (+ (- y z) 1.0))
11.0ms
(/ x (/ z (+ (- y z) 1.0)))

series90.0ms

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

simplify66.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04551177
121101129
250031126

prune218.0ms

Filtered
145 candidates to 92 candidates (63.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1441145
Fresh134
Picked101
Done000
Total1464150

Merged error: 0b

Counts
150 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
1.8b
(* x (/ (+ (- y z) 1.0) z))

rewrite24.0ms

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 div-exp prod-exp cbrt-unprod 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 → 76
Calls
2 calls:
9.0ms
(/ (+ (- y z) 1.0) z)
12.0ms
(* x (/ (+ (- y z) 1.0) z))

series70.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (+ (- y z) 1.0) z)
44.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify44.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0267479
11167438
25001432

prune105.0ms

Filtered
82 candidates to 48 candidates (58.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done000
Total82486

Merged error: 0b

Counts
86 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
0.0b
(+ (/ (* x y) z) (* 1.0 (/ x z)))
5.8b
(/ (* x y) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv diff-log div-exp sum-log
1×+-commutative sub-neg flip3-- frac-2neg flip3-+ associate-*r/ frac-add prod-exp associate--l+ clear-num flip-- cbrt-unprod flip-+ div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 49
Calls
3 calls:
8.0ms
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
6.0ms
(+ (/ (* x y) z) (* 1.0 (/ x z)))
5.0ms
(/ (* x y) z)

series104.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
47.0ms
(+ (/ (* x y) z) (* 1.0 (/ x z)))
19.0ms
(/ (* x y) z)

simplify34.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0254367
11124344
25002325

prune87.0ms

Filtered
58 candidates to 40 candidates (69.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh022
Picked011
Done011
Total58462

Merged error: 0b

Counts
62 → 4

regimes57.0ms

bsearch4.0ms

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