Details

Time bar (total: 16.2s)

sample31.0ms

Algorithm
intervals
Results
10.0ms248×body80valid
3.0ms21×body640valid
1.0ms8×body1280valid
1.0ms13×body320valid
0.0ms2×body2560valid
0.0ms5×body160valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
63465
5879
4292
3111
245
120
011

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.4b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
1.7b
(+ x (/ (* (- y x) (- z t)) (- a t)))
17.2b
(/ (* (- y x) (- z t)) (- a t))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-cbrt-cube add-exp-log
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 associate-/r* times-frac associate-*r* associate-*l* add-log-exp
4×associate-*l/ associate-*r/ distribute-lft-out-- difference-of-squares
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
29.0ms
(* (- y x) (- z t))
35.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
38.0ms
(/ (* (- y x) (- z t)) (- a t))

series433.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* (- y x) (- z t))
212.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
170.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify1.4s

Counts
90 → 90
Iterations
IterNodes
done5000
22654
1480
0162

prune511.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.7b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.7b
(+ x (* (- y x) (/ (- z t) (- a t))))
2.2b
(* (- y x) (/ (- z t) (- a t)))

rewrite74.0ms

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:
18.0ms
(/ (- z t) (- a t))
6.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))
46.0ms
(* (- y x) (/ (- z t) (- a t)))

series364.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ (- z t) (- a t))
177.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))
126.0ms
(* (- y x) (/ (- z t) (- a t)))

simplify1.5s

Counts
128 → 128
Iterations
IterNodes
done5001
22633
1503
0183

prune600.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.7b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
1.7b
(+ x (* (/ (- y x) (* (/ (cbrt (- a t)) (cbrt (- z t))) (/ (cbrt (- a t)) (cbrt (- z t))))) (/ (cbrt (- z t)) (cbrt (- a t)))))

rewrite16.0ms

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
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative sum-log flip3-+ flip-+
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
5.0ms
(+ x (* (/ (- y x) (* (/ (cbrt (- a t)) (cbrt (- z t))) (/ (cbrt (- a t)) (cbrt (- z t))))) (/ (cbrt (- z t)) (cbrt (- a t)))))

series738.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(cbrt (- z t))
190.0ms
(cbrt (- z t))
150.0ms
(cbrt (- z t))
181.0ms
(+ x (* (/ (- y x) (* (/ (cbrt (- a t)) (cbrt (- z t))) (/ (cbrt (- a t)) (cbrt (- z t))))) (/ (cbrt (- z t)) (cbrt (- a t)))))

simplify2.4s

Counts
68 → 68
Iterations
IterNodes
done5000
34346
2817
1263
0108

prune634.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.7b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (cbrt (- z t)))
0.6b
(cbrt (* (cbrt (- z t)) (cbrt (- z t))))
4.4b
(+ x (* (/ (- y x) (* (/ (cbrt (- a t)) (cbrt (- z t))) (/ (cbrt (- a t)) (cbrt (- z t))))) (/ (* (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (cbrt (- z t)))) (cbrt (- a t)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-div
19×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity
8×flip3-- flip--
7×add-cube-cbrt
6×add-log-exp
4×frac-times pow1 add-cbrt-cube add-exp-log
3×pow1/3
2×associate-*l/ associate-*r/ distribute-lft-out-- difference-of-squares
1×+-commutative sum-log flip3-+ flip-+
Counts
4 → 61
Calls
4 calls:
3.0ms
(cbrt (- z t))
4.0ms
(cbrt (cbrt (- z t)))
11.0ms
(cbrt (* (cbrt (- z t)) (cbrt (- z t))))
6.0ms
(+ x (* (/ (- y x) (* (/ (cbrt (- a t)) (cbrt (- z t))) (/ (cbrt (- a t)) (cbrt (- z t))))) (/ (* (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (cbrt (- z t)))) (cbrt (- a t)))))

series783.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt (- z t))
187.0ms
(cbrt (cbrt (- z t)))
203.0ms
(cbrt (* (cbrt (- z t)) (cbrt (- z t))))
200.0ms
(+ x (* (/ (- y x) (* (/ (cbrt (- a t)) (cbrt (- z t))) (/ (cbrt (- a t)) (cbrt (- z t))))) (/ (* (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (cbrt (- z t)))) (cbrt (- a t)))))

simplify1.8s

Counts
73 → 73
Iterations
IterNodes
done5000
21244
1431
0199

prune607.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 3.7b

regimes795.0ms

Accuracy

11.4% (6.6b remaining)

Error of 10.8b against oracle of 4.2b and baseline of 11.6b

bsearch165.0ms

Steps
ItersRangePoint
8
2.6309484927562324e-151
1.412009925680061e-147
8.815256163235809e-151
10
-3.978907169753604e-67
-4.8443723354632057e-85
-2.8758247724472417e-80

simplify6.0ms

Iterations
IterNodes
done30
130
023

end0.0ms

sample1.4s

Algorithm
intervals
Results
804.0ms7820×body80valid
87.0ms439×body320valid
81.0ms470×body640valid
56.0ms260×body1280valid
22.0ms264×body160valid
5.0ms14×body2560valid