Details

Time bar (total: 8.7s)

sample105.0ms

Algorithm
intervals
Results
34.0ms711×body80nan
9.0ms180×body80valid
8.0ms11×body1280valid
7.0ms26×body640valid
4.0ms24×body320valid
2.0ms17×body160valid

simplify68.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1578
21368
33128
47098
516298
635648
750018
done50018

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b
(* (- x 1.0) (log y))
2.2b
(log (- 1.0 y))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity
15×add-cube-cbrt
11×log-prod
9×prod-diff
8×add-log-exp
7×pow1
6×add-exp-log
5×associate-*l* add-cbrt-cube
4×associate-*r*
3×distribute-rgt-in expm1-log1p-u flip3-- distribute-lft-in fma-neg flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
2×log-div diff-log associate-*l/ log-pow
1×sub-neg rem-log-exp pow-prod-down prod-exp associate--l+ sum-log *-commutative cbrt-unprod unswap-sqr
Counts
3 → 79
Calls
3 calls:
88.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
22.0ms
(* (- x 1.0) (log y))
6.0ms
(log (- 1.0 y))

series255.0ms

Counts
3 → 9
Calls
3 calls:
158.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
57.0ms
(* (- x 1.0) (log y))
41.0ms
(log (- 1.0 y))

simplify47.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0467814
11645657
25003650
done5003650

prune269.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite194.0ms

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:
37.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
36.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
83.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
22.0ms
(* (- x 1.0) (log y))

series340.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
156.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
68.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
62.0ms
(* (- x 1.0) (log y))

simplify71.0ms

Counts
292 → 292
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015234441
150023593
done50023593

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

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)

rewrite15.0ms

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:
10.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series709.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt y) (cbrt y))
172.0ms
(cbrt y)
169.0ms
(cbrt y)
174.0ms
(cbrt y)

simplify85.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0119308
1477281
22972258
35001255
done5001255

prune484.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
5.2b
(pow y 1/3)

rewrite16.0ms

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:
10.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
3.0ms
(pow y 1/3)

series706.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(* (cbrt y) (cbrt y))
169.0ms
(cbrt y)
174.0ms
(cbrt y)
180.0ms
(pow y 1/3)

simplify144.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0179308
1790229
24954214
35001214
done5001214

prune489.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes316.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03824
13824
done3824

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.1s24405×body80nan
300.0ms5913×body80valid
227.0ms792×body640valid
158.0ms266×body1280valid
109.0ms638×body320valid
46.0ms435×body160valid