Details

Time bar (total: 36.9s)

sample57.0ms

Algorithm
intervals
Results
24.0ms342×body80valid

simplify77.0ms

Counts
1 → 1
Iterations
IterNodes
done110
9110
8108
7102
687
573
458
339
225
115
010

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
5.7b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
add-cbrt-cube add-exp-log
pow1 associate-/r* add-log-exp
sub-neg flip3-- associate-*l* associate-*r/ flip-- associate-/l*
distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
cbrt-undiv clear-num frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
17.0ms
(/ t (- 1.0 z))
65.0ms
(- (/ y z) (/ t (- 1.0 z)))
177.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series167.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ t (- 1.0 z))
42.0ms
(- (/ y z) (/ t (- 1.0 z)))
76.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify696.0ms

Counts
98 → 98
Iterations
IterNodes
done5001
21405
1420
0170

prune552.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (/ (* y x) z) (- (* x (/ t (- 1.0 z)))))
2.7b
(* x (/ t (- 1.0 z)))
5.5b
(/ (* y x) z)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
42×*-un-lft-identity
34×times-frac
26×add-cube-cbrt
21×associate-*r*
16×add-cbrt-cube add-exp-log
associate-/r* add-log-exp
distribute-lft-out-- difference-of-squares
pow1
cbrt-undiv div-exp associate-/r/ associate-/l*
associate-*l* prod-exp cbrt-unprod div-inv
clear-num sum-log frac-2neg flip3-- associate-*r/ flip-- unswap-sqr
neg-sub0 +-commutative associate-+r- flip3-+ unsub-neg pow-prod-down neg-log frac-add *-commutative flip-+ distribute-neg-frac distribute-lft-out
Counts
4 → 115
Calls
4 calls:
14.0ms
(/ t (- 1.0 z))
18.0ms
(+ (/ (* y x) z) (- (* x (/ t (- 1.0 z)))))
34.0ms
(* x (/ t (- 1.0 z)))
9.0ms
(/ (* y x) z)

series266.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ t (- 1.0 z))
81.0ms
(+ (/ (* y x) z) (- (* x (/ t (- 1.0 z)))))
106.0ms
(* x (/ t (- 1.0 z)))
36.0ms
(/ (* y x) z)

simplify1.4s

Counts
127 → 127
Iterations
IterNodes
done5001
23056
1601
0220

prune872.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.2b
(/ (* x (cbrt t)) (/ (cbrt (- 1.0 z)) (/ (cbrt t) (cbrt (- 1.0 z)))))
5.5b
(/ (* y x) z)

rewrite296.0ms

Algorithm
rewrite-expression-head
Rules
2072×times-frac
1410×cbrt-prod
1098×add-sqr-sqrt *-un-lft-identity
690×add-cube-cbrt
440×associate-/r*
204×distribute-lft-out-- difference-of-squares
35×associate-/r/
32×cbrt-div
30×add-exp-log
20×div-inv
19×add-cbrt-cube
16×flip3-- flip--
14×cbrt-undiv div-exp
pow1 prod-exp cbrt-unprod add-log-exp
clear-num frac-2neg pow1/3 associate-/l*
Counts
4 → 941
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
123.0ms
(/ (* x (cbrt t)) (/ (cbrt (- 1.0 z)) (/ (cbrt t) (cbrt (- 1.0 z)))))
10.0ms
(/ (* y x) z)

series989.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt t)
311.0ms
(cbrt t)
373.0ms
(/ (* x (cbrt t)) (/ (cbrt (- 1.0 z)) (/ (cbrt t) (cbrt (- 1.0 z)))))
35.0ms
(/ (* y x) z)

simplify1.1s

Counts
953 → 953
Iterations
IterNodes
done5001
01521

prune7.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.2b
(/ (* x (cbrt t)) (/ (cbrt (- 1.0 z)) (/ (cbrt t) (cbrt (- 1.0 z)))))
5.2b
(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

rewrite354.0ms

Algorithm
rewrite-expression-head
Rules
2097×times-frac
1421×cbrt-prod
1127×add-sqr-sqrt
1111×*-un-lft-identity
703×add-cube-cbrt
437×associate-/r*
204×distribute-lft-out-- difference-of-squares
46×add-exp-log
35×associate-/r/
32×cbrt-div
28×add-cbrt-cube
22×associate-*r*
21×div-inv
19×cbrt-undiv div-exp
16×flip3-- flip--
11×prod-exp cbrt-unprod
associate-*l*
pow1 unswap-sqr
add-log-exp
pow1/3
frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l*
Counts
4 → 979
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
136.0ms
(/ (* x (cbrt t)) (/ (cbrt (- 1.0 z)) (/ (cbrt t) (cbrt (- 1.0 z)))))
63.0ms
(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
288.0ms
(cbrt t)
325.0ms
(cbrt t)
348.0ms
(/ (* x (cbrt t)) (/ (cbrt (- 1.0 z)) (/ (cbrt t) (cbrt (- 1.0 z)))))
70.0ms
(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

simplify1.2s

Counts
991 → 991
Iterations
IterNodes
done5001
01599

prune9.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes757.0ms

Accuracy

91% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 4.8b

bsearch2.0ms

simplify8.3s

Iterations
IterNodes
done5001
16414999
16404996
16394993
16384990
16374987
16364984
16354981
16344978
16334975
16324972
16314969
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31169
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25151
24148
23145
22142
21139
20136
19133
18130
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15121
14118
13115
12112
11109
10106
9103
8100
797
694
591
488
385
278
165
045

end0.0ms

sample1.3s

Algorithm
intervals
Results
594.0ms10130×body80valid