Details

Time bar (total: 8.7s)

sample104.0ms

Algorithm
intervals
Results
36.0ms755×body80nan
12.0ms13×body1280valid
10.0ms193×body80valid
8.0ms22×body640valid
3.0ms16×body320valid
2.0ms13×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: 7.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b
(* (- x 1.0) (log y))
5.6b
(log (- 1.0 y))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
30×*-un-lft-identity
27×log-prod
20×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in add-log-exp
10×associate-+r+ associate-*l/
9×prod-diff
8×pow1
7×add-exp-log flip3-- flip--
6×associate-+l+ add-cbrt-cube
5×associate-*l* distribute-lft-out-- difference-of-squares
4×expm1-log1p-u associate-*r* frac-add log1p-expm1-u
3×fma-neg
2×log-div diff-log sum-log log-pow
1×+-commutative sub-neg fma-def flip3-+ rem-log-exp pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 113
Calls
4 calls:
12.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
40.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
13.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series363.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
147.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
53.0ms
(* (- x 1.0) (log y))
44.0ms
(log (- 1.0 y))

simplify74.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
07411209
128811050
250011042

prune413.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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)))))))
0.1b
(* (- x 1.0) (log y))

rewrite111.0ms

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:
29.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
39.0ms
(* (- 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)))))))
11.0ms
(* (- x 1.0) (log y))

series314.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
64.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
143.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
58.0ms
(* (- x 1.0) (log y))

simplify70.0ms

Algorithm
egg-herbie
Counts
292 → 292
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015234441
150023593

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

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)

rewrite9.0ms

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)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series727.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (cbrt y) (cbrt y))
176.0ms
(cbrt y)
175.0ms
(cbrt y)
173.0ms
(cbrt y)

simplify92.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune494.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
5.1b
(pow (/ 1 y) -1/3)

rewrite13.0ms

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:
5.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
4.0ms
(pow (/ 1 y) -1/3)

series733.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt y) (cbrt y))
199.0ms
(cbrt y)
166.0ms
(cbrt y)
168.0ms
(pow (/ 1 y) -1/3)

simplify47.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0282424
11223383
25002342

prune546.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes252.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03222
13222

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.2s24062×body80nan
322.0ms5898×body80valid
235.0ms771×body640valid
167.0ms274×body1280valid
125.0ms681×body320valid
46.0ms403×body160valid