Details

Time bar (total: 9.0s)

sample111.0ms

Algorithm
intervals
Results
40.0ms778×body80nan
14.0ms185×body80valid
9.0ms26×body640valid
8.0ms11×body1280valid
3.0ms17×body320valid
2.0ms17×body160valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1578
21368
33128
47098
516298
635648
750018

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize14.0ms

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)))
0.2b
(* (- x 1.0) (log y))
8.5b
(log (- 1.0 y))

rewrite79.0ms

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:
45.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
15.0ms
(* (- z 1.0) (log (- 1.0 y)))
12.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series305.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
48.0ms
(* (- z 1.0) (log (- 1.0 y)))
58.0ms
(* (- x 1.0) (log y))
42.0ms
(log (- 1.0 y))

simplify63.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05871089
12183902
25001886

prune411.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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

rewrite116.0ms

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:
30.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
41.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
18.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
12.0ms
(* (- x 1.0) (log y))

series332.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* 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))))))
148.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
61.0ms
(* (- x 1.0) (log y))

simplify74.0ms

Algorithm
egg-herbie
Counts
292 → 292
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015234441
150023593

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite10.0ms

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:
6.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series763.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(* (cbrt y) (cbrt y))
182.0ms
(cbrt y)
185.0ms
(cbrt y)
187.0ms
(cbrt y)

simplify90.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune504.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
5.0b
(pow y 1/3)

rewrite11.0ms

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:
6.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(pow y 1/3)

series732.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt y) (cbrt y))
174.0ms
(cbrt y)
174.0ms
(cbrt y)
179.0ms
(pow y 1/3)

simplify150.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0179308
1790229
24953214
35001214

prune576.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes315.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04126
14326
24326

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.2s23762×body80nan
346.0ms5851×body80valid
255.0ms782×body640valid
173.0ms268×body1280valid
141.0ms684×body320valid
57.0ms455×body160valid