Details

Time bar (total: 5.4s)

sample33.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms274×body80nan

simplify139.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

rewrite83.0ms

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:
57.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms
(- x (* (+ y 0.5) (log y)))
9.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
11.0ms
(* (+ y 0.5) (log y))

series372.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
36.0ms
(- x (* (+ y 0.5) (log y)))
46.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
235.0ms
(* (+ y 0.5) (log y))

simplify43.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0446640
11624599
25001591

prune215.0ms

Filtered
93 candidates to 69 candidates (74.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ 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))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
15×*-un-lft-identity
10×add-sqr-sqrt
7×pow1
6×add-exp-log add-cube-cbrt diff-log add-cbrt-cube
4×associate-*r* associate-*l* sum-log
3×sub-neg distribute-lft-out
2×distribute-rgt-in associate-+r- associate-+r+ flip3-- distribute-lft-in flip3-+ associate-*r/ flip-- flip-+ associate--r+ 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 → 73
Calls
4 calls:
44.0ms
(- (+ x (- y (* (log y) (+ 0.5 y)))) z)
5.0ms
(+ x (- y (* (log y) (+ 0.5 y))))
2.0ms
(- y (* (log y) (+ 0.5 y)))
13.0ms
(* (log y) (+ 0.5 y))

series787.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (+ x (- y (* (log y) (+ 0.5 y)))) z)
51.0ms
(+ x (- y (* (log y) (+ 0.5 y))))
419.0ms
(- y (* (log y) (+ 0.5 y)))
240.0ms
(* (log y) (+ 0.5 y))

simplify50.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0400561
11619527
25001525

prune188.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt add-log-exp
12×*-un-lft-identity
7×pow1
6×add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-*r* associate-*l*
3×sub-neg diff-log difference-of-squares
2×distribute-rgt-in associate-+r+ flip3-- distribute-lft-in flip3-+ associate-*r/ sum-log flip-- flip-+ distribute-lft-out associate--r+
1×+-commutative associate-+r- unpow-prod-down pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr sqr-pow
Counts
4 → 70
Calls
4 calls:
92.0ms
(- (pow (+ x (- y (* (log y) (+ 0.5 y)))) 1) z)
9.0ms
(+ x (- y (* (log y) (+ 0.5 y))))
2.0ms
(- y (* (log y) (+ 0.5 y)))
11.0ms
(* (log y) (+ 0.5 y))

series770.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (pow (+ x (- y (* (log y) (+ 0.5 y)))) 1) z)
42.0ms
(+ x (- y (* (log y) (+ 0.5 y))))
430.0ms
(- y (* (log y) (+ 0.5 y)))
243.0ms
(* (log y) (+ 0.5 y))

simplify48.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0412569
11657528
25001525

prune202.0ms

Filtered
82 candidates to 58 candidates (70.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

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)

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

series907.0ms

Counts
4 → 12
Calls
4 calls:
380.0ms
(* (cbrt y) (cbrt y))
177.0ms
(cbrt y)
174.0ms
(cbrt y)
177.0ms
(cbrt y)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune275.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample906.0ms

Algorithm
intervals
Results
314.0ms8044×body80valid
253.0ms8012×body80nan