Details

Time bar (total: 20.7s)

sample67.0ms

Algorithm
intervals
Results
30.0ms242×body80valid
7.0ms18×body640valid
6.0ms12×body1280valid
4.0ms15×body320valid
1.0ms7×body160valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5000
62162
5786
4312
3120
244
123
011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.7b
(* (- y z) (/ (- t x) (- a z)))
4.2b
(+ x (* (- y z) (/ (- t x) (- a z))))

rewrite68.0ms

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-cbrt-cube add-exp-log
5×pow1 associate-/r* flip3-- associate-*l* flip-- associate-/l* add-log-exp
4×associate-/r/
3×insert-posit16
2×frac-times cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ div-sub pow-prod-down associate-*r/ *-commutative flip-+
Counts
3 → 122
Calls
3 calls:
17.0ms
(/ (- t x) (- a z))
38.0ms
(* (- y z) (/ (- t x) (- a z)))
11.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))

series445.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(/ (- t x) (- a z))
169.0ms
(* (- y z) (/ (- t x) (- a z)))
188.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))

simplify1.5s

Counts
131 → 131
Iterations
IterNodes
done5002
21773
1504
0186

prune730.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.7b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.5b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
8.1b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite124.0ms

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
4×insert-posit16
3×associate-*l/ associate-*r/
2×pow1/3 div-inv
1×+-commutative sum-log flip3-+ pow-prod-down *-commutative flip-+
Counts
4 → 138
Calls
4 calls:
5.0ms
(cbrt (- a z))
5.0ms
(cbrt (- a z))
99.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
9.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt (- a z))
211.0ms
(cbrt (- a z))
416.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
227.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify2.9s

Counts
150 → 150
Iterations
IterNodes
done5002
22907
1748
0258

prune837.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.7b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
8.9b
(+ x (* (/ (- y z) (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite20.0ms

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-cbrt-cube add-exp-log insert-posit16
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative sum-log flip3-+ flip-+
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
11.0ms
(+ x (* (/ (- y z) (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series721.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt (- a z))
162.0ms
(cbrt (- a z))
166.0ms
(cbrt (- a z))
199.0ms
(+ x (* (/ (- y z) (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify2.6s

Counts
72 → 72
Iterations
IterNodes
done5001
33037
2741
1264
0110

prune522.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 3.3b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.5b
(* (/ (- t x) (cbrt (- a z))) (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
8.1b
(+ x (* (/ (- t x) (cbrt (- a z))) (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
59×*-un-lft-identity
52×times-frac
46×associate-*l*
37×cbrt-prod
27×add-cube-cbrt
25×add-exp-log
18×cbrt-div add-cbrt-cube
17×associate-*r*
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
4×insert-posit16
3×associate-*l/ associate-*r/
2×pow1/3 div-inv
1×+-commutative sum-log flip3-+ pow-prod-down *-commutative flip-+
Counts
4 → 138
Calls
4 calls:
5.0ms
(cbrt (- a z))
5.0ms
(cbrt (- a z))
107.0ms
(* (/ (- t x) (cbrt (- a z))) (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
13.0ms
(+ x (* (/ (- t x) (cbrt (- a z))) (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))))

series896.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt (- a z))
190.0ms
(cbrt (- a z))
254.0ms
(* (/ (- t x) (cbrt (- a z))) (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
258.0ms
(+ x (* (/ (- t x) (cbrt (- a z))) (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))))

simplify2.2s

Counts
150 → 150
Iterations
IterNodes
done5001
22439
1726
0252

prune855.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 3.3b

regimes1.0s

Accuracy

59.7% (3.7b remaining)

Error of 6.9b against oracle of 3.2b and baseline of 12.4b

bsearch5.0ms

simplify15.0ms

Iterations
IterNodes
done43
143
035

end1.0ms

sample2.4s

Algorithm
intervals
Results
1.3s7795×body80valid
221.0ms288×body1280valid
215.0ms473×body640valid
163.0ms435×body320valid
51.0ms257×body160valid
11.0ms20×body2560valid