Details

Time bar (total: 8.4s)

sample115.0ms

Algorithm
intervals
Results
38.0ms777×body80nan
9.0ms180×body80valid
9.0ms13×body1280valid
9.0ms29×body640valid
3.0ms20×body320valid
2.0ms14×body160valid

simplify135.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0269
1499
21189
32569
45339
512509
626379
742979
845739
945889
1045889

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

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
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.1b
(* (- x 1.0) (log y))
4.9b
(log (- 1.0 y))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
27×log-prod
25×add-sqr-sqrt
23×*-un-lft-identity
13×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in add-log-exp
10×associate-+r+ associate-*l/
8×pow1
7×add-exp-log flip3-- flip--
6×associate-+l+ add-cbrt-cube
5×associate-*l* distribute-lft-out-- difference-of-squares
4×associate-*r* frac-add
2×log-div diff-log sum-log log-pow
1×+-commutative sub-neg flip3-+ rem-log-exp pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 92
Calls
4 calls:
76.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
29.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
22.0ms
(* (- x 1.0) (log y))
5.0ms
(log (- 1.0 y))

series365.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
125.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
51.0ms
(* (- x 1.0) (log y))
44.0ms
(log (- 1.0 y))

simplify64.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0629947
12391888
25001883

prune339.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt
80×times-frac
78×associate-*r*
57×*-un-lft-identity
56×unpow-prod-down
50×add-cube-cbrt
31×add-exp-log
27×flip3-- flip--
24×log-prod associate-*l/ unpow2 sqr-pow
19×unswap-sqr
16×distribute-rgt-in distribute-lft-in frac-add
13×associate-*l* add-cbrt-cube
12×pow1 frac-times prod-exp associate--l+
10×associate-+r+
9×div-exp
7×associate-*r/
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×sub-neg cbrt-unprod distribute-lft-out--
3×pow-prod-down *-commutative difference-of-squares
2×log-pow
1×cbrt-undiv +-commutative flip3-+ sum-log flip-+ div-inv
Counts
4 → 223
Calls
4 calls:
73.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
34.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
30.0ms
(+ (* (- x 1.0) (log y)) (* (- 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))

series307.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
47.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
145.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
51.0ms
(* (- x 1.0) (log y))

simplify56.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013322881
150022658

prune895.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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)

rewrite18.0ms

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×add-cbrt-cube 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 → 73
Calls
4 calls:
13.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series721.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt y) (cbrt y))
171.0ms
(cbrt y)
177.0ms
(cbrt y)
173.0ms
(cbrt y)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune427.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (* 1 (pow y 1/3)))
0.6b
(cbrt y)
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
13×prod-exp
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod
8×add-cbrt-cube
7×pow1
6×associate-*l*
5×cbrt-unprod
4×add-log-exp
3×pow-to-exp unpow-prod-down pow-unpow 1-exp pow-exp
2×unpow1/3 pow1/3
1×pow-pow associate-*r* pow-prod-down *-commutative sqr-pow
Counts
4 → 66
Calls
4 calls:
22.0ms
(* (cbrt y) (* 1 (pow y 1/3)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
3.0ms
(pow y 1/3)

series712.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt y) (* 1 (pow y 1/3)))
185.0ms
(cbrt y)
170.0ms
(cbrt y)
166.0ms
(pow y 1/3)

simplify85.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0212245
1758168
23506156
35003149

prune384.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes210.0ms

Accuracy

0% (0.4b 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
04324
14524
24524

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.1s23758×body80nan
306.0ms5856×body80valid
225.0ms779×body640valid
151.0ms262×body1280valid
115.0ms672×body320valid
51.0ms457×body160valid