Details

Time bar (total: 27.2s)

sample236.0ms

Algorithm
intervals
Results
98.0ms792×body80nan
21.0ms190×body80valid
18.0ms29×body640valid
7.0ms19×body320valid
6.0ms4×body1280valid
3.0ms15×body160valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
64312
51312
4339
3117
249
126
014

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (log (- 1.0 y)) (- z 1.0))
0.0b
(+ (- (* (- x 1.0) (log y)) t) (* (log (- 1.0 y)) (- z 1.0)))
0.2b
(* (- x 1.0) (log y))
5.3b
(log (- 1.0 y))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity
17×log-prod
13×add-cube-cbrt
11×pow1
10×distribute-rgt-in distribute-lft-in
9×associate-*r* associate-*l* add-exp-log add-log-exp
8×associate-+l+ add-cbrt-cube
7×flip3-- flip--
6×associate--l+ associate-*r/
5×sub-neg
4×associate-+r+ frac-add
3×log-pow distribute-lft-out-- difference-of-squares
2×log-div sum-log pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ diff-log rem-log-exp associate-+l- flip-+
Counts
4 → 101
Calls
4 calls:
31.0ms
(* (log (- 1.0 y)) (- z 1.0))
81.0ms
(+ (- (* (- x 1.0) (log y)) t) (* (log (- 1.0 y)) (- z 1.0)))
31.0ms
(* (- x 1.0) (log y))
4.0ms
(log (- 1.0 y))

series475.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (log (- 1.0 y)) (- z 1.0))
235.0ms
(+ (- (* (- x 1.0) (log y)) t) (* (log (- 1.0 y)) (- z 1.0)))
89.0ms
(* (- x 1.0) (log y))
78.0ms
(log (- 1.0 y))

simplify1.3s

Counts
113 → 113
Iterations
IterNodes
done5001
22941
1692
0261

prune881.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (- x 1.0) (log y)) t)
0.0b
(* (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0))) (- z 1.0))
0.0b
(+ (- (* (- x 1.0) (log y)) t) (* (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0))) (- z 1.0)))
0.2b
(* (- x 1.0) (log y))

rewrite363.0ms

Algorithm
rewrite-expression-head
Rules
91×flip3-- flip--
66×frac-times
54×frac-sub
52×frac-add
44×associate-*l/
24×associate-*r/
22×add-sqr-sqrt
18×log-prod *-un-lft-identity
14×add-cube-cbrt
13×distribute-rgt-in distribute-lft-in
12×associate--l+
11×add-log-exp
9×pow1 associate-*r*
8×associate-+l+ add-cbrt-cube associate-*l* add-exp-log
6×sub-neg
4×associate-+r+
2×sum-log diff-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×+-commutative flip3-+ log-pow associate-+l- flip-+
Counts
4 → 174
Calls
4 calls:
26.0ms
(- (* (- x 1.0) (log y)) t)
127.0ms
(* (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0))) (- z 1.0))
173.0ms
(+ (- (* (- x 1.0) (log y)) t) (* (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0))) (- z 1.0)))
21.0ms
(* (- x 1.0) (log y))

series499.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (* (- x 1.0) (log y)) t)
62.0ms
(* (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0))) (- z 1.0))
280.0ms
(+ (- (* (- x 1.0) (log y)) t) (* (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0))) (- z 1.0)))
91.0ms
(* (- x 1.0) (log y))

simplify613.0ms

Counts
186 → 186
Iterations
IterNodes
done5000
11407
0475

prune1.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
27.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
279.0ms
(* (cbrt y) (cbrt y))
298.0ms
(cbrt y)
282.0ms
(cbrt y)
297.0ms
(cbrt y)

simplify1.2s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune848.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize111.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0)))) (cbrt (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0)))))
0.6b
(cbrt (- (- (log 1.0) (* y 1.0)) (/ (* 1/2 (/ (* y y) 1.0)) 1.0)))
0.6b
(cbrt (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0))))
0.6b
(cbrt (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0))))

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
164×cbrt-div
122×frac-sub
104×frac-times
82×flip3-- flip--
48×associate-*l/ associate-*r/
27×cbrt-prod
25×add-sqr-sqrt
17×*-un-lft-identity
15×add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
4 → 175
Calls
4 calls:
164.0ms
(* (cbrt (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0)))) (cbrt (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0)))))
33.0ms
(cbrt (- (- (log 1.0) (* y 1.0)) (/ (* 1/2 (/ (* y y) 1.0)) 1.0)))
14.0ms
(cbrt (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0))))
14.0ms
(cbrt (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
328.0ms
(* (cbrt (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0)))) (cbrt (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0)))))
330.0ms
(cbrt (- (- (log 1.0) (* y 1.0)) (/ (* 1/2 (/ (* y y) 1.0)) 1.0)))
285.0ms
(cbrt (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0))))
303.0ms
(cbrt (- (- (log 1.0) (* 1.0 y)) (* (/ (pow y 2) 1.0) (/ 1/2 1.0))))

simplify1.5s

Counts
187 → 187
Iterations
IterNodes
done5000
23455
1933
0410

prune2.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

regimes848.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done33
133
026

end0.0ms

sample7.8s

Algorithm
intervals
Results
3.8s23933×body80nan
860.0ms5892×body80valid
492.0ms738×body640valid
283.0ms697×body320valid
264.0ms248×body1280valid
140.0ms453×body160valid