Details

Time bar (total: 2.0s)

sample29.0ms

Algorithm
intervals
Results
14.0ms316×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0224
1444
21144
32204
43544
55504
616694
750024

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.2b
(/ (* x (+ (- y z) 1.0)) z)

rewrite18.0ms

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:
8.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify33.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0254285
11225238
25001238

prune64.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New48553
Fresh000
Picked011
Done000
Total48654

Merged error: 0.0b

Counts
54 → 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)))

rewrite24.0ms

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))
10.0ms
(/ x (/ z (+ (- y z) 1.0)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ z (+ (- y z) 1.0))
9.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04551177
121101129
250031126

prune307.0ms

Filtered
93 candidates to 145 candidates (-55.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1441145
Fresh314
Picked011
Done011
Total1474151

Merged error: 0b

Counts
151 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

8.9b
(* (/ x z) (+ (- y z) 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×frac-times flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp
Counts
1 → 40
Calls
1 calls:
11.0ms
(* (/ x z) (+ (- y z) 1.0))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* (/ x z) (+ (- y z) 1.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0334267
11328239
25001233

prune67.0ms

Filtered
30 candidates to 43 candidates (-43.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New43043
Fresh011
Picked011
Done022
Total43447

Merged error: 0b

Counts
47 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
0.2b
(pow (* x (+ (- y z) 1.0)) 3)
9.2b
(/ (cbrt (pow (* x (+ (- y z) 1.0)) 3)) z)
28.8b
(cbrt (pow (* x (+ (- y z) 1.0)) 3))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-prod
33×*-un-lft-identity times-frac
30×add-sqr-sqrt
28×add-cube-cbrt
11×add-exp-log associate-/l*
10×add-cbrt-cube
9×pow1
8×associate-*r/
6×cube-div cube-mult unpow-prod-down unpow3 cube-prod sqr-pow
5×associate-*r*
4×cbrt-div flip3-+ flip-+ add-log-exp
3×pow-unpow associate-*l* associate-/r*
2×pow-pow pow-prod-down pow-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out rem-cube-cbrt
1×cbrt-undiv distribute-rgt-in pow-to-exp frac-2neg distribute-lft-in pow1/3 div-exp clear-num *-commutative rem-cbrt-cube div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 128
Calls
4 calls:
15.0ms
(* x (+ (- y z) 1.0))
14.0ms
(pow (* x (+ (- y z) 1.0)) 3)
10.0ms
(/ (cbrt (pow (* x (+ (- y z) 1.0)) 3)) z)
5.0ms
(cbrt (pow (* x (+ (- y z) 1.0)) 3))

series49.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* x (+ (- y z) 1.0))
17.0ms
(pow (* x (+ (- y z) 1.0)) 3)
13.0ms
(/ (cbrt (pow (* x (+ (- y z) 1.0)) 3)) z)
12.0ms
(cbrt (pow (* x (+ (- y z) 1.0)) 3))

simplify70.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
04731064
12289971
25001958

prune163.0ms

Filtered
98 candidates to 140 candidates (-42.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1400140
Fresh000
Picked011
Done033
Total1404144

Merged error: 0b

Counts
144 → 4

regimes226.0ms

Accuracy

94% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.2b

bsearch35.0ms

Steps
ItersRangePoint
9
2.689484150685209e-62
2.343234243378968e-54
2.310861104814621e-55
8
-9.279208097530649e+27
-3.043898171527952e+24
-3.3181494722004744e+24

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample656.0ms

Algorithm
intervals
Results
303.0ms10201×body80valid

Profiling

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