Details

Time bar (total: 23.2s)

sample27.0ms

Algorithm
intervals
Results
7.0ms259×body80valid
2.0ms21×body640valid
1.0msbody1280valid
1.0ms14×body320valid
1.0ms10×body160valid

simplify11.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
12313
24413
312213
432713
573213
6148513
7236113
8319713
9366513
10383713
11414813
12441013
done500013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
4.1b
(+ x (* (- y z) (/ (- t x) (- a z))))
4.4b
(* (- y z) (/ (- t x) (- a z)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
associate-/r/
cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
20.0ms
(/ (- t x) (- a z))
7.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
56.0ms
(* (- y z) (/ (- t x) (- a z)))

series358.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ (- t x) (- a z))
165.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
138.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify798.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (213.0ms)

IterNodesCost
01831813
14691704
217361606
done50001606

prune296.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
1.0b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
9.4b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite148.0ms

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/
flip3-- flip--
prod-exp cbrt-unprod
cbrt-undiv div-exp
pow1 add-log-exp unswap-sqr
frac-times
associate-*r/ associate-*l/
pow1/3 div-inv
+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 134
Calls
4 calls:
4.0ms
(cbrt (- a z))
4.0ms
(cbrt (- a z))
125.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
7.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series762.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- a z))
142.0ms
(cbrt (- a z))
302.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
167.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify1.3s

Counts
146 → 146
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02553364
17223180
227852663
done50002496

prune422.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
4.5b
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
cbrt-div add-log-exp
pow1 add-exp-log add-cbrt-cube
flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
4.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
9.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

series813.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- y z))
146.0ms
(cbrt (- y z))
348.0ms
(cbrt (- y z))
173.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

simplify1.8s

Counts
68 → 68
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01081234
12631187
27831093
33518892
done5000853

prune277.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 5.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (cbrt (- y z)))
6.0b
(+ x (* (/ (* (* (cbrt (* (cbrt (- y z)) (cbrt (- y z)))) (cbrt (cbrt (- y z)))) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
add-cube-cbrt cbrt-div
add-log-exp
pow1 add-exp-log add-cbrt-cube
flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
+-commutative flip3-+ sum-log flip-+
Counts
4 → 59
Calls
4 calls:
6.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
4.0ms
(cbrt (cbrt (- y z)))
9.0ms
(+ x (* (/ (* (* (cbrt (* (cbrt (- y z)) (cbrt (- y z)))) (cbrt (cbrt (- y z)))) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

series620.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (- y z))
147.0ms
(cbrt (- y z))
149.0ms
(cbrt (cbrt (- y z)))
169.0ms
(+ x (* (/ (* (* (cbrt (* (cbrt (- y z)) (cbrt (- y z)))) (cbrt (cbrt (- y z)))) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

simplify2.5s

Counts
71 → 71
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01501511
13481449
29761329
347711292
done50001258

prune323.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 5.5b

regimes391.0ms

Accuracy

58.6% (3.8b remaining)

Error of 7.1b against oracle of 3.4b and baseline of 12.4b

bsearch3.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
039114
150114
done50114

end0.0ms

sample743.0ms

Algorithm
intervals
Results
231.0ms7806×body80valid
55.0ms497×body640valid
38.0ms268×body1280valid
33.0ms376×body320valid
15.0ms275×body160valid
3.0ms16×body2560valid