Details

Time bar (total: 4.9s)

sample25.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
17110
218410
338110
468210
5110210
6212210
7433710
8500110

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.7b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
1.8b
(+ (* (+ x y) z) (* (+ t y) a))
2.4b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.0b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
13×distribute-lft-out
11×add-log-exp
10×associate-*l/
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+
6×pow1
5×associate-/r*
4×associate-*l* frac-add
3×associate-*r* associate-/l*
2×flip3-- diff-log sum-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg div-sub div-exp pow-prod-down prod-exp associate--l+ clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 90
Calls
4 calls:
8.0ms
(* (+ t y) a)
7.0ms
(+ (* (+ x y) z) (* (+ t y) a))
9.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
15.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series734.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (+ t y) a)
44.0ms
(+ (* (+ x y) z) (* (+ t y) a))
93.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
577.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify65.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05201087
123081025
250031025

prune266.0ms

Filtered
102 candidates to 76 candidates (74.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New957102
Fresh000
Picked011
Done000
Total958103

Merged error: 7.6b

Counts
103 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
1.8b
(+ (* (+ x y) z) (* (+ t y) a))
2.4b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.0b
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt
24×associate-*r*
17×times-frac
16×add-cube-cbrt
15×add-exp-log
12×associate-*l/
11×add-cbrt-cube add-log-exp
10×distribute-lft-out
8×pow1
7×flip3-+ associate-*l* flip-+
5×prod-exp
4×frac-add unswap-sqr
3×flip3-- flip-- cbrt-unprod
2×frac-times diff-log div-exp pow-prod-down sum-log associate-/r/ *-commutative
1×cbrt-undiv +-commutative sub-neg rec-exp 1-exp associate-*r/ associate--l+ un-div-inv div-inv
Counts
4 → 98
Calls
4 calls:
6.0ms
(* (+ t y) a)
6.0ms
(+ (* (+ x y) z) (* (+ t y) a))
9.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
19.0ms
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series724.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (+ t y) a)
48.0ms
(+ (* (+ x y) z) (* (+ t y) a))
94.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
562.0ms
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify75.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06031127
129491025
250021005

prune276.0ms

Filtered
110 candidates to 77 candidates (70.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh066
Picked011
Done011
Total1108118

Merged error: 7.6b

Counts
118 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.8b
(+ (* (+ x y) z) (* (+ t y) a))
2.4b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.0b
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
152×*-un-lft-identity
138×times-frac
72×add-sqr-sqrt add-cube-cbrt
48×distribute-lft-out
24×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube add-log-exp
8×div-exp associate-*l/ associate-/l*
6×flip3-- flip3-+ flip-- flip-+ div-inv
5×pow1
4×cbrt-undiv frac-add
2×rec-exp frac-2neg diff-log 1-exp clear-num sum-log associate-/l/
1×+-commutative sub-neg pow-flip associate--l+ inv-pow
Counts
4 → 176
Calls
4 calls:
17.0ms
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
7.0ms
(+ (* (+ x y) z) (* (+ t y) a))
9.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
15.0ms
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series806.0ms

Counts
4 → 12
Calls
4 calls:
572.0ms
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
45.0ms
(+ (* (+ x y) z) (* (+ t y) a))
94.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
94.0ms
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify97.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
07033190
133552979
250022861

prune338.0ms

Filtered
188 candidates to 95 candidates (50.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1862188
Fresh055
Picked011
Done022
Total18610196

Merged error: 4.3b

Counts
196 → 10

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New000
Fresh066
Picked011
Done033
Total01010

Merged error: 4.3b

Counts
10 → 10

regimes521.0ms

Accuracy

87% (3.1b remaining)

Error of 7.6b against oracle of 4.5b and baseline of 28.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03632
13632

end0.0ms

sample642.0ms

Algorithm
intervals
Results
363.0ms7995×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid
0.0ms1×body160valid