Details

Time bar (total: 28.9s)

sample179.0ms

Algorithm
intervals
Results
65.0ms748×body80nan
19.0ms194×body80valid
10.0ms22×body640valid
6.0ms7×body1280valid
6.0ms19×body320valid
4.0ms18×body160valid

simplify4.6s

Counts
1 → 1
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
01417
12716
25716
313516
438816
5130616
6367016
done500016

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.2b
(* (- x 1.0) (log y))
4.6b
(log (- 1.0 y))

rewrite228.0ms

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:
35.0ms
(* (- z 1.0) (log (- 1.0 y)))
146.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
30.0ms
(* (- x 1.0) (log y))
9.0ms
(log (- 1.0 y))

series451.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (- z 1.0) (log (- 1.0 y)))
250.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
89.0ms
(* (- x 1.0) (log y))
62.0ms
(log (- 1.0 y))

simplify2.0s

Counts
126 → 126
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02632037
16321852
224871613
done50001518

prune641.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
80×times-frac
72×associate-*r*
71×*-un-lft-identity
67×add-cube-cbrt
56×unpow-prod-down
34×associate-+r+
33×prod-diff
29×add-exp-log
24×unpow2 sqr-pow
23×distribute-rgt-in distribute-lft-in
22×flip3-- associate-*l/ flip--
18×log-prod unswap-sqr
16×frac-add
15×pow1
11×prod-exp add-cbrt-cube add-log-exp
9×div-exp
8×frac-times associate-*l*
7×associate--l+ log-pow
6×pow-to-exp associate-+l+ pow-exp
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u
3×sub-neg fma-neg cbrt-unprod
2×diff-log pow-prod-down sum-log *-commutative distribute-lft-out-- difference-of-squares
1×cbrt-undiv +-commutative fma-def flip3-+ flip-+ div-inv
Counts
4 → 243
Calls
4 calls:
144.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
51.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
44.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
36.0ms
(* (- x 1.0) (log y))

series807.0ms

Counts
4 → 12
Calls
4 calls:
409.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
70.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
250.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
78.0ms
(* (- x 1.0) (log y))

simplify926.0ms

Counts
255 → 255
Iterations

Useful iterations: done (911.0ms)

IterNodesCost
05647141
116246040
done50025492

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

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)

rewrite47.0ms

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:
23.0ms
(* (cbrt y) (cbrt y))
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
330.0ms
(* (cbrt y) (cbrt y))
245.0ms
(cbrt y)
309.0ms
(cbrt y)
300.0ms
(cbrt y)

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: done (1.5s)

IterNodesCost
065554
1143443
2719423
done5000409

prune661.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
5.0b
(pow y 1/3)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
12×pow1
8×pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×unpow-prod-down pow-unpow
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 88
Calls
4 calls:
11.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
3.0ms
(pow y 1/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
299.0ms
(* (cbrt y) (cbrt y))
236.0ms
(cbrt y)
290.0ms
(cbrt y)
249.0ms
(pow y 1/3)

simplify3.5s

Counts
100 → 100
Iterations

Useful iterations: done (3.5s)

IterNodesCost
095609
1260474
22026432
done5000414

prune720.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes412.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
03144
13842
23942
done3942

end0.0ms

sample7.9s

Algorithm
intervals
Results
3.6s24313×body80nan
722.0ms281×body1280valid
706.0ms5890×body80valid
401.0ms736×body640valid
310.0ms689×body320valid
99.0ms438×body160valid