Details

Time bar (total: 10.7s)

sample174.0ms

Algorithm
intervals
Results
90.0ms1865×body80nan
14.0ms256×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1618
21618
33938
49848
522568
640958
750018

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (log (+ x y)) (log z)) t)
0.2b
(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
0.6b
(+ (log (+ x y)) (log z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
28×pow1
25×log-pow distribute-lft-out
21×prod-diff
19×add-sqr-sqrt
17×add-cube-cbrt
7×log-prod fma-neg
6×add-log-exp
5×distribute-lft-out--
4×associate-+l- log-div associate-+l+ fma-def
3×add-exp-log expm1-log1p-u associate-+r+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
2×associate--l- diff-log sum-log
1×+-commutative sub-neg flip3-- associate--l+ flip-- fma-udef difference-of-squares
Counts
3 → 92
Calls
3 calls:
9.0ms
(- (+ (log (+ x y)) (log z)) t)
1.0ms
(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
10.0ms
(+ (log (+ x y)) (log z))

series340.0ms

Counts
3 → 9
Calls
3 calls:
171.0ms
(- (+ (log (+ x y)) (log z)) t)
91.0ms
(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
77.0ms
(+ (log (+ x y)) (log z))

simplify45.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0388866
11209661
25001650

prune299.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (log (+ x y)) (log (+ x y)))
0.5b
(- (log (+ x y)) (log z))
0.6b
(* (log z) (log z))
0.6b
(- (* (log (+ x y)) (log (+ x y))) (* (log z) (log z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
43×pow1
37×add-sqr-sqrt
35×log-prod
31×add-cube-cbrt
25×log-pow
17×prod-diff
14×distribute-rgt-in distribute-lft-in
12×swap-sqr associate--l+
9×associate--r+
8×add-exp-log associate-*r* associate-*l* add-cbrt-cube
6×add-log-exp
5×fma-neg distribute-lft-out
4×expm1-log1p-u log1p-expm1-u distribute-lft-out--
2×associate--l- pow2 sub-neg log-div flip3-- pow-plus diff-log pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod difference-of-squares unswap-sqr
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
7.0ms
(* (log (+ x y)) (log (+ x y)))
8.0ms
(- (log (+ x y)) (log z))
5.0ms
(* (log z) (log z))
8.0ms
(- (* (log (+ x y)) (log (+ x y))) (* (log z) (log z)))

series576.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(* (log (+ x y)) (log (+ x y)))
79.0ms
(- (log (+ x y)) (log z))
151.0ms
(* (log z) (log z))
167.0ms
(- (* (log (+ x y)) (log (+ x y))) (* (log z) (log z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04461242
116611012
25002875

prune543.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (log (+ x y)) (log (sqrt (+ x y))))
0.5b
(- (log (+ x y)) (log z))
0.6b
(pow (log z) 2)
0.7b
(fma (log (sqrt (+ x y))) (log (+ x y)) (- (pow (log z) 2)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
27×add-sqr-sqrt
24×pow1
23×add-cube-cbrt
21×log-prod
18×log-pow
16×prod-diff
8×sqrt-prod
7×add-exp-log distribute-rgt-in distribute-lft-in
6×associate-*r* add-cbrt-cube
4×expm1-log1p-u unpow-prod-down fma-neg associate-*l* associate--l+ log1p-expm1-u distribute-lft-out-- add-log-exp
3×pow-unpow distribute-lft-out associate--r+
2×associate--l- log-div
1×pow-to-exp sub-neg flip3-- pow-pow sqrt-pow1 flip3-+ pow1/2 diff-log pow-prod-down pow-exp prod-exp *-commutative flip-- cbrt-unprod flip-+ fma-udef unpow2 difference-of-squares unswap-sqr sqr-pow
Counts
4 → 117
Calls
4 calls:
8.0ms
(* (log (+ x y)) (log (sqrt (+ x y))))
8.0ms
(- (log (+ x y)) (log z))
3.0ms
(pow (log z) 2)
1.0ms
(fma (log (sqrt (+ x y))) (log (+ x y)) (- (pow (log z) 2)))

series625.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (log (+ x y)) (log (sqrt (+ x y))))
72.0ms
(- (log (+ x y)) (log z))
155.0ms
(pow (log z) 2)
237.0ms
(fma (log (sqrt (+ x y))) (log (+ x y)) (- (pow (log z) 2)))

simplify62.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05681185
12012972
25002875

prune563.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
0.6b
(+ (log (+ x y)) (log z))
0.6b
(+ (log (+ x y)) (log z))
0.6b
(+ (log (+ x y)) (log z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
21×log-prod
19×pow1
15×log-pow distribute-lft-out
14×add-sqr-sqrt add-cube-cbrt
12×associate-+l+ fma-def
9×associate-+r+
6×associate-+l- log-div flip3-+ flip-+
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×+-commutative cbrt-prod sum-log
1×pow1/3
Counts
4 → 103
Calls
4 calls:
1.0ms
(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
7.0ms
(+ (log (+ x y)) (log z))
7.0ms
(+ (log (+ x y)) (log z))
7.0ms
(+ (log (+ x y)) (log z))

series931.0ms

Counts
4 → 12
Calls
4 calls:
698.0ms
(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
78.0ms
(+ (log (+ x y)) (log z))
78.0ms
(+ (log (+ x y)) (log z))
77.0ms
(+ (log (+ x y)) (log z))

simplify58.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0601974
12133892
25001877

prune562.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes584.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02625
12625

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.7s56720×body80nan
458.0ms8026×body80valid