Details

Time bar (total: 7.8s)

analyze4.3s

Algorithm
search
sampling

Space saved by range analysis: 0.341297%

Space saved by search: 0.341297%

Guaranteed chance to sample good point: 0%

sample45.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
9.0ms156×body80invalid

simplify130.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.8b

Counts
2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
0.2b
(* (* x 9.0) y)
5.1b
(* (* (* z 4.0) t) a)
17.6b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
12×*-un-lft-identity
10×prod-exp cbrt-unprod
9×pow-prod-down
8×add-sqr-sqrt add-cube-cbrt
6×associate-*r* add-log-exp
4×times-frac associate-/l*
2×cbrt-undiv div-exp associate-*l* *-commutative associate-/l/ distribute-lft-out
1×associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log div-sub clear-num associate-/r* flip-- flip-+ div-inv
Counts
4 → 77
Calls
4 calls:
4.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.0ms
(* (* x 9.0) y)
6.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series86.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
3.0ms
(* (* x 9.0) y)
6.0ms
(* (* (* z 4.0) t) a)
56.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify69.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune173.0ms

Filtered
57 candidates to 89 candidates (-56.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh000
Picked101
Done000
Total781290

Merged error: 6.9b

Counts
90 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.6b
(/ (* a t) c)
5.6b
(/ b (* z c))
8.6b
(/ (* x y) (* z c))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
8×times-frac
6×pow1
5×associate-*r* associate-/r* associate-/l*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ (* a t) c)
6.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series27.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(/ (* a t) c)
5.0ms
(/ b (* z c))
8.0ms
(/ (* x y) (* z c))

simplify57.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0420503
12365384
25002384

prune180.0ms

Filtered
62 candidates to 104 candidates (-67.7%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New9410104
Fresh4711
Picked101
Done000
Total9917116

Merged error: 0.3b

Counts
116 → 17

localize14.0ms

Local error

Found 4 expressions with local error:

4.9b
(/ (* z c) y)
4.9b
(/ x (/ (* z c) y))
5.6b
(/ (* a t) c)
5.6b
(/ b (* z c))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×associate-/r*
11×cbrt-undiv div-exp
8×div-inv associate-/l*
4×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
4 → 111
Calls
4 calls:
4.0ms
(/ (* z c) y)
6.0ms
(/ x (/ (* z c) y))
4.0ms
(/ (* a t) c)
4.0ms
(/ b (* z c))

series24.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (* z c) y)
9.0ms
(/ x (/ (* z c) y))
5.0ms
(/ (* a t) c)
5.0ms
(/ b (* z c))

simplify49.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0457568
12237494
25001494

prune216.0ms

Filtered
90 candidates to 123 candidates (-36.7%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New1185123
Fresh31316
Picked101
Done000
Total12218140

Merged error: 0.0b

Counts
140 → 18

localize19.0ms

Local error

Found 4 expressions with local error:

4.9b
(/ (* z c) y)
4.9b
(/ x (/ (* z c) y))
5.4b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
5.6b
(/ b (* z c))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
67×times-frac
55×add-sqr-sqrt
44×add-exp-log
39×add-cube-cbrt *-un-lft-identity
37×add-cbrt-cube
22×associate-*r*
16×cbrt-undiv div-exp
11×cbrt-prod prod-exp associate-/r* cbrt-unprod
9×div-inv
7×associate-*l* associate-/l*
6×pow1 unswap-sqr
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative
Counts
4 → 149
Calls
4 calls:
4.0ms
(/ (* z c) y)
6.0ms
(/ x (/ (* z c) y))
14.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.0ms
(/ b (* z c))

series32.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (* z c) y)
12.0ms
(/ x (/ (* z c) y))
10.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
5.0ms
(/ b (* z c))

simplify77.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
07461086
13742944
25002911

prune147.0ms

Filtered
119 candidates to 161 candidates (-35.3%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1610161
Fresh01717
Picked011
Done000
Total16118179

Merged error: 0.0b

Counts
179 → 18

regimes2.0s

bsearch1.0ms

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