Details

Time bar (total: 23.4s)

sample67.0ms

Algorithm
intervals
Results
19.0ms251×body80valid
4.0ms13×body640valid
3.0ms13×body320valid
3.0ms7×body1280valid
1.0ms8×body160valid
0.0ms1×body2560valid

simplify1.9s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.1b
(+ x (* (- y z) (/ (- t x) (- a z))))
5.1b
(* (- y z) (/ (- t x) (- a z)))

rewrite102.0ms

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/
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 → 119
Calls
3 calls:
32.0ms
(/ (- t x) (- a z))
6.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
57.0ms
(* (- y z) (/ (- t x) (- a z)))

series455.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(/ (- t x) (- a z))
190.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
180.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify1.7s

Counts
128 → 128
Iterations
IterNodes
done5001
21764
1500
0183

prune903.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.9b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
7.5b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite168.0ms

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-*l/ associate-*r/
2×pow1/3 div-inv
1×+-commutative sum-log flip3-+ pow-prod-down *-commutative flip-+
Counts
4 → 134
Calls
4 calls:
6.0ms
(cbrt (- a z))
6.0ms
(cbrt (- a z))
143.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
6.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
230.0ms
(cbrt (- a z))
224.0ms
(cbrt (- a z))
468.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
270.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify3.5s

Counts
146 → 146
Iterations
IterNodes
done5002
22899
1745
0255

prune990.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 3.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.0b
(/ (- y z) (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x)))))
8.5b
(+ x (* (/ (- y z) (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
16×add-sqr-sqrt *-un-lft-identity
14×add-cbrt-cube
10×cbrt-prod
9×cbrt-undiv div-exp
8×add-cube-cbrt
6×add-log-exp
5×times-frac associate-/l*
4×pow1 cbrt-div prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
3×flip3-- associate-/r/ flip--
2×pow1/3 associate-/l/
1×frac-times +-commutative clear-num associate-/r* sum-log frac-2neg flip3-+ div-sub associate-*l/ associate-*r/ flip-+ div-inv
Counts
4 → 78
Calls
4 calls:
5.0ms
(cbrt (- a z))
6.0ms
(cbrt (- a z))
72.0ms
(/ (- y z) (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x)))))
10.0ms
(+ x (* (/ (- y z) (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt (- a z))
251.0ms
(cbrt (- a z))
635.0ms
(/ (- y z) (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x)))))
274.0ms
(+ x (* (/ (- y z) (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify2.2s

Counts
90 → 90
Iterations
IterNodes
done5000
21634
1552
0212

prune808.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 3.1b

localize97.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
1.0b
(/ (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x)))) (cbrt (- y z)))
7.0b
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x)))) (cbrt (- y z)))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
20×cbrt-prod
18×add-sqr-sqrt *-un-lft-identity
10×add-cube-cbrt
9×cbrt-undiv add-cbrt-cube div-exp
8×associate-/r* times-frac
6×cbrt-div add-log-exp
4×pow1 prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
3×flip3-- flip-- associate-/l/
2×pow1/3 associate-/r/
1×frac-times +-commutative clear-num sum-log frac-2neg flip3-+ associate-*l/ associate-*r/ flip-+ div-inv associate-/l*
Counts
4 → 83
Calls
4 calls:
6.0ms
(cbrt (- y z))
9.0ms
(cbrt (- y z))
40.0ms
(/ (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x)))) (cbrt (- y z)))
7.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x)))) (cbrt (- y z)))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series2.2s

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt (- y z))
246.0ms
(cbrt (- y z))
1.5s
(/ (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x)))) (cbrt (- y z)))
263.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x)))) (cbrt (- y z)))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify2.2s

Counts
95 → 95
Iterations
IterNodes
done5002
21699
1580
0219

prune763.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 3.1b

regimes1.1s

Accuracy

56.1% (3.8b remaining)

Error of 6.9b against oracle of 3.1b and baseline of 11.8b

bsearch5.0ms

simplify21.0ms

Iterations
IterNodes
done52
152
041

end0.0ms

sample1.4s

Algorithm
intervals
Results
526.0ms7814×body80valid
115.0ms484×body640valid
101.0ms414×body320valid
82.0ms252×body1280valid
56.0ms251×body160valid
6.0ms20×body2560valid