Details

Time bar (total: 4.9s)

sample27.0ms

Algorithm
intervals
Results
9.0ms251×body80valid
2.0ms14×body1280valid
2.0ms15×body640valid
0.0ms7×body160valid
0.0ms4×body320valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514986
634106
750016

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: 24.4b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- t x))
1.6b
(+ x (/ (* (- y z) (- t x)) (- a z)))
18.1b
(/ (* (- y z) (- t x)) (- a z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-*l* associate-/r* add-log-exp
4×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
9.0ms
(* (- y z) (- t x))
7.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
18.0ms
(/ (* (- y z) (- t x)) (- a z))

series310.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* (- y z) (- t x))
150.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
126.0ms
(/ (* (- y z) (- t x)) (- a z))

simplify64.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0466583
12158534
25001534

prune217.0ms

Filtered
90 candidates to 67 candidates (74.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New801090
Fresh000
Picked101
Done000
Total811091

Merged error: 4.2b

Counts
91 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
2.8b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
6.7b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
59×*-un-lft-identity
52×times-frac
46×associate-*r*
37×cbrt-prod
27×add-cube-cbrt
25×add-exp-log
18×cbrt-div add-cbrt-cube
17×associate-*l*
16×distribute-lft-out-- difference-of-squares
10×associate-/r/
9×flip3-- flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 add-log-exp unswap-sqr
5×frac-times
3×associate-*r/ associate-*l/
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 134
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
39.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
3.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series741.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- a z))
148.0ms
(cbrt (- a z))
290.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
152.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify85.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07441831
132871663
250011576

prune401.0ms

Filtered
146 candidates to 103 candidates (70.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1406146
Fresh369
Picked101
Done000
Total14412156

Merged error: 4.2b

Counts
156 → 12

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (* (cbrt (- a z)) (cbrt (- a z))))
0.7b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
7.9b
(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-div
40×add-exp-log
23×add-sqr-sqrt
22×add-cbrt-cube
19×flip3-- flip--
17×associate-*l*
16×times-frac associate-*r* associate-/r/
15×prod-exp cbrt-unprod
13×frac-times *-un-lft-identity
12×cbrt-undiv div-exp
9×cbrt-prod add-cube-cbrt
7×associate-*r/ associate-*l/
6×pow1 add-log-exp unswap-sqr
2×pow1/3 div-inv distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 112
Calls
4 calls:
3.0ms
(cbrt (- a z))
8.0ms
(cbrt (* (cbrt (- a z)) (cbrt (- a z))))
31.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
3.0ms
(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

series921.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (- a z))
127.0ms
(cbrt (* (cbrt (- a z)) (cbrt (- a z))))
496.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
157.0ms
(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

simplify93.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08712589
134282241
250012201

prune499.0ms

Filtered
124 candidates to 90 candidates (72.6%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1231124
Fresh01111
Picked011
Done000
Total12313136

Merged error: 4.2b

Counts
136 → 13

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
7.2b
(+ x (* (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
6.0ms
(+ x (* (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

series600.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(cbrt (- y z))
146.0ms
(cbrt (- y z))
145.0ms
(cbrt (- y z))
150.0ms
(+ x (* (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

simplify44.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0272944
1861858
25001846

prune329.0ms

Filtered
68 candidates to 59 candidates (86.8%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh01111
Picked011
Done011
Total681381

Merged error: 4.2b

Counts
81 → 13

regimes296.0ms

bsearch3.0ms

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