Details

Time bar (total: 3.8s)

sample44.0ms

Algorithm
intervals
Results
12.0ms255×body80valid
3.0ms14×body640valid
2.0ms9×body1280valid
2.0ms17×body320valid
0.0ms1×body2560valid
0.0ms2×body160valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514986
634106
750016

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- t x))
0.8b
(+ x (/ (* (- y z) (- t x)) (- a z)))
17.3b
(/ (* (- y z) (- t x)) (- a z))

rewrite32.0ms

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:
11.0ms
(* (- y z) (- t x))
7.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
11.0ms
(/ (* (- y z) (- t x)) (- a z))

series91.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(* (- y z) (- t x))
49.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
33.0ms
(/ (* (- y z) (- t x)) (- a z))

simplify52.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0466583
12158534
25001534

prune142.0ms

Filtered
90 candidates to 67 candidates (25.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New791190
Fresh000
Picked101
Done000
Total801191

Merged error: 3.6b

Counts
91 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
2.1b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
6.6b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite50.0ms

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))
35.0ms
(* (/ (- 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)))))

series157.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
25.0ms
(cbrt (- a z))
55.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
51.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify88.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07521839
133201671
250011580

prune192.0ms

Filtered
146 candidates to 103 candidates (29.5%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1406146
Fresh2810
Picked011
Done000
Total14215157

Merged error: 3.6b

Counts
157 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
2.0b
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
6.6b
(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
182×times-frac
166×add-sqr-sqrt
115×cbrt-prod
103×*-un-lft-identity
80×associate-*l*
76×cbrt-div
61×associate-*r*
59×add-cube-cbrt
42×associate-/r/
36×add-exp-log
33×flip3-- flip--
22×add-cbrt-cube distribute-lft-out-- difference-of-squares
21×frac-times
20×unswap-sqr
14×cbrt-undiv div-exp
11×associate-*r/ associate-*l/
10×prod-exp cbrt-unprod
6×pow1 div-inv add-log-exp
2×pow1/3
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 230
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
91.0ms
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
3.0ms
(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

series159.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
27.0ms
(cbrt (- a z))
54.0ms
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
53.0ms
(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

simplify70.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013514970
150024731

prune321.0ms

Filtered
242 candidates to 201 candidates (16.9%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New2393242
Fresh31013
Picked101
Done011
Total24314257

Merged error: 3.6b

Counts
257 → 14

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.5b
(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) 1) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))
4.9b
(+ x (* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) 1) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
270×add-exp-log
133×div-exp
105×prod-exp
90×add-cbrt-cube
71×cbrt-undiv
66×times-frac
59×cbrt-unprod
46×associate-*l*
40×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
25×cbrt-prod
21×1-exp
10×cbrt-div
9×pow1
6×associate-/r/ add-log-exp
5×frac-times flip3-- associate-*r/ flip-- distribute-lft-out-- difference-of-squares
4×div-inv
3×pow-prod-down associate-*l/
2×pow1/3
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
4 → 182
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
59.0ms
(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) 1) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))
5.0ms
(+ x (* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) 1) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))))

series158.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- a z))
25.0ms
(cbrt (- a z))
56.0ms
(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) 1) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))
49.0ms
(+ x (* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) 1) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))))

simplify62.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011945508
150014465

prune186.0ms

Filtered
194 candidates to 120 candidates (38.1%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1940194
Fresh01212
Picked011
Done011
Total19414208

Merged error: 3.6b

Counts
208 → 14

regimes728.0ms

Accuracy

32% (5.4b remaining)

Error of 9.9b against oracle of 4.5b and baseline of 12.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05770
15770

end0.0ms

sample954.0ms

Algorithm
intervals
Results
296.0ms7798×body80valid
66.0ms482×body640valid
50.0ms285×body1280valid
46.0ms429×body320valid
18.0ms255×body160valid
3.0ms14×body2560valid

Profiling

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