Details

Time bar (total: 5.1s)

sample32.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
7.0ms274×body80nan

simplify142.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0216
1616
21926
36496
416026
527206
636676
743876
847116
949566
1050016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.0b
(- x (* (+ y 0.5) (log y)))
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.1b
(* (+ y 0.5) (log y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
19×*-un-lft-identity
14×add-sqr-sqrt
12×log-prod
10×add-cube-cbrt
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in diff-log add-cbrt-cube associate--r+
4×associate-*r* associate-*l* sum-log
3×sub-neg distribute-lft-out
2×associate-+l- associate-+l+ flip3-- flip3-+ associate-*l/ flip-- flip-+ distribute-lft-out--
1×+-commutative associate--l- pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
10.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms
(- x (* (+ y 0.5) (log y)))
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms
(* (+ y 0.5) (log y))

series383.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
42.0ms
(- x (* (+ y 0.5) (log y)))
42.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
250.0ms
(* (+ y 0.5) (log y))

simplify46.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0446640
11624599
25001591

prune221.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1 (+ x (- y (* (log y) (+ 0.5 y))))) z)
0.0b
(+ x (- y (* (log y) (+ 0.5 y))))
0.1b
(- y (* (log y) (+ 0.5 y)))
0.1b
(* (log y) (+ 0.5 y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
11×*-un-lft-identity
8×add-sqr-sqrt
7×pow1
6×add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-*r* associate-*l*
3×distribute-rgt-in sub-neg distribute-lft-in diff-log
2×associate-+r+ flip3-- flip3-+ associate-*r/ associate--l+ sum-log flip-- flip-+ distribute-lft-out associate--r+
1×+-commutative associate-+r- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 69
Calls
4 calls:
6.0ms
(- (* 1 (+ x (- y (* (log y) (+ 0.5 y))))) z)
4.0ms
(+ x (- y (* (log y) (+ 0.5 y))))
3.0ms
(- y (* (log y) (+ 0.5 y)))
6.0ms
(* (log y) (+ 0.5 y))

series980.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (* 1 (+ x (- y (* (log y) (+ 0.5 y))))) z)
49.0ms
(+ x (- y (* (log y) (+ 0.5 y))))
634.0ms
(- y (* (log y) (+ 0.5 y)))
248.0ms
(* (log y) (+ 0.5 y))

simplify56.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0413541
11784500
25001498

prune204.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1 (+ x (- y (* (+ 0.5 y) (log y))))) z)
0.0b
(+ x (- y (* (+ 0.5 y) (log y))))
0.1b
(- y (* (+ 0.5 y) (log y)))
0.1b
(* (+ 0.5 y) (log y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×add-log-exp
12×add-sqr-sqrt log-prod
10×add-cube-cbrt
7×pow1 distribute-rgt-in distribute-lft-in
6×add-exp-log add-cbrt-cube associate--r+
4×associate-*r* associate-*l*
3×sub-neg diff-log
2×associate-+r+ flip3-- flip3-+ associate-*l/ associate--l+ sum-log flip-- flip-+ distribute-lft-out
1×+-commutative associate-+r- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 77
Calls
4 calls:
6.0ms
(- (* 1 (+ x (- y (* (+ 0.5 y) (log y))))) z)
5.0ms
(+ x (- y (* (+ 0.5 y) (log y))))
4.0ms
(- y (* (+ 0.5 y) (log y)))
7.0ms
(* (+ 0.5 y) (log y))

series787.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- (* 1 (+ x (- y (* (+ 0.5 y) (log y))))) z)
49.0ms
(+ x (- y (* (+ 0.5 y) (log y))))
433.0ms
(- y (* (+ 0.5 y) (log y)))
254.0ms
(* (+ 0.5 y) (log y))

simplify60.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0448611
11770564
25001556

prune228.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (- y (* (log (sqrt y)) (+ 0.5 y))) (* (log (sqrt y)) (+ 0.5 y)))
0.1b
(- y (* (log (sqrt y)) (+ 0.5 y)))
0.1b
(* (log (sqrt y)) (+ 0.5 y))
0.1b
(* (log (sqrt y)) (+ 0.5 y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-sqr-sqrt *-un-lft-identity associate-*l*
11×add-log-exp
8×add-exp-log add-cube-cbrt associate-*r/ associate-*r* add-cbrt-cube
6×log-pow
4×distribute-rgt-in flip3-- distribute-lft-in flip3-+ diff-log frac-sub flip-- flip-+ associate--r+
3×sub-neg
2×sqrt-pow1 pow1/2 pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×associate--l-
Counts
4 → 88
Calls
4 calls:
6.0ms
(- (- y (* (log (sqrt y)) (+ 0.5 y))) (* (log (sqrt y)) (+ 0.5 y)))
3.0ms
(- y (* (log (sqrt y)) (+ 0.5 y)))
7.0ms
(* (log (sqrt y)) (+ 0.5 y))
7.0ms
(* (log (sqrt y)) (+ 0.5 y))

series556.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(- (- y (* (log (sqrt y)) (+ 0.5 y))) (* (log (sqrt y)) (+ 0.5 y)))
163.0ms
(- y (* (log (sqrt y)) (+ 0.5 y)))
92.0ms
(* (log (sqrt y)) (+ 0.5 y))
91.0ms
(* (log (sqrt y)) (+ 0.5 y))

simplify66.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0455947
11963841
25001814

prune297.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1207
2207

end0.0ms

sample856.0ms

Algorithm
intervals
Results
283.0ms8044×body80valid
219.0ms8012×body80nan