Details

Time bar (total: 25.7s)

sample210.0ms

Algorithm
intervals
Results
67.0ms739×body80nan
42.0ms183×body80valid
15.0ms29×body640valid
7.0ms7×body1280valid
6.0ms19×body320valid
4.0ms19×body160valid

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
01417
12716
25716
313516
438816
5130616
6367016
done500016

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.1b
(* (- x 1.0) (log y))
7.8b
(log (- 1.0 y))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
32×*-un-lft-identity
21×log-prod
20×add-cube-cbrt
11×pow1
10×associate-*l*
9×add-exp-log prod-diff add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×distribute-lft-out-- difference-of-squares
4×expm1-log1p-u flip3-- associate-*l/ flip-- log1p-expm1-u
3×fma-neg log-pow
2×log-div diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 114
Calls
4 calls:
122.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
59.0ms
(* (- z 1.0) (log (- 1.0 y)))
46.0ms
(* (- x 1.0) (log y))
7.0ms
(log (- 1.0 y))

series394.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
56.0ms
(* (- z 1.0) (log (- 1.0 y)))
71.0ms
(* (- x 1.0) (log y))
46.0ms
(log (- 1.0 y))

simplify1.9s

Counts
126 → 126
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02632037
16321852
224781613
done50011518

prune977.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b
(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.1b
(* (- x 1.0) (log y))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
122×add-sqr-sqrt
85×*-un-lft-identity
80×times-frac
78×add-cube-cbrt associate-*r*
56×unpow-prod-down
48×prod-diff
40×distribute-rgt-in distribute-lft-in
34×associate-+r+
31×add-exp-log
27×flip3-- flip--
24×pow1 log-prod associate-*l/ unpow2 sqr-pow
19×unswap-sqr
16×frac-add
14×log-pow
13×associate-*l* add-cbrt-cube
12×frac-times prod-exp associate--l+
9×div-exp
7×associate-*r/
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×expm1-log1p-u sub-neg cbrt-unprod log1p-expm1-u distribute-lft-out--
3×pow-prod-down *-commutative difference-of-squares
1×cbrt-undiv +-commutative fma-def flip3-+ sum-log flip-+ div-inv
Counts
4 → 280
Calls
4 calls:
53.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
77.0ms
(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
37.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
29.0ms
(* (- x 1.0) (log y))

series485.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
104.0ms
(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
213.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
84.0ms
(* (- x 1.0) (log y))

simplify995.0ms

Counts
292 → 292
Iterations

Useful iterations: done (980.0ms)

IterNodesCost
05709330
116427322
done50006713

prune1.5s

Pruning

9 alts after pruning (9 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)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
14.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
301.0ms
(* (cbrt y) (cbrt y))
348.0ms
(cbrt y)
258.0ms
(cbrt y)
251.0ms
(cbrt y)

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: done (1.1s)

IterNodesCost
065554
1143443
2719423
done5000409

prune670.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
4.9b
(pow (/ 1 y) -1/3)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×cbrt-prod add-cube-cbrt *-un-lft-identity
13×pow1 unpow-prod-down
11×add-exp-log
9×times-frac
8×pow1/3
6×swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u pow-exp add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×pow-unpow pow-pow
2×div-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp rec-exp pow-flip pow-plus 1-exp prod-exp *-commutative cbrt-unprod div-inv inv-pow sqr-pow
Counts
4 → 102
Calls
4 calls:
17.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
7.0ms
(pow (/ 1 y) -1/3)

series1.0s

Counts
4 → 12
Calls
4 calls:
299.0ms
(* (cbrt y) (cbrt y))
218.0ms
(cbrt y)
257.0ms
(cbrt y)
235.0ms
(pow (/ 1 y) -1/3)

simplify1.2s

Counts
114 → 114
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0141824
1381652
21574624
done5004612

prune749.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

regimes431.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
03043
13743
done3743

end0.0ms

sample7.4s

Algorithm
intervals
Results
3.3s23659×body80nan
1.2s5966×body80valid
432.0ms747×body640valid
293.0ms647×body320valid
250.0ms243×body1280valid
89.0ms432×body160valid