Details

Time bar (total: 4.9s)

sample34.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify100.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
17110
218410
338110
468210
5110210
6212210
7433710
8500110

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.2b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
1.3b
(+ (* (+ x y) z) (* (+ t y) a))
1.4b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
23.6b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite40.0ms

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:
6.0ms
(* (+ t y) a)
9.0ms
(+ (* (+ x y) z) (* (+ t y) a))
9.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
14.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series194.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (+ t y) a)
17.0ms
(+ (* (+ x y) z) (* (+ t y) a))
31.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
140.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify64.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05201087
123081025
250011025

prune156.0ms

Filtered
102 candidates to 76 candidates (25.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New939102
Fresh000
Picked011
Done000
Total9310103

Merged error: 9.6b

Counts
103 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

1.3b
(+ (* (+ x y) z) (* (+ t y) a))
1.4b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
7.7b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (cbrt (+ (+ x t) y)))
15.8b
(* (/ 1 (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (cbrt (+ (+ x t) y))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
63×times-frac
59×add-sqr-sqrt
51×add-exp-log
38×cbrt-prod add-cube-cbrt
30×associate-*r*
21×distribute-lft-out
20×prod-exp
19×add-cbrt-cube
16×cbrt-div div-exp
15×associate-*l*
13×flip3-+ flip-+
12×associate-/r/
11×associate-*l/ add-log-exp
9×unswap-sqr
8×cbrt-undiv associate-/r* cbrt-unprod
6×pow1
5×frac-times
4×rec-exp 1-exp frac-add
3×associate-*r/ div-inv associate-/l*
2×flip3-- diff-log sum-log flip-- associate-/l/
1×+-commutative sub-neg frac-2neg div-sub pow-prod-down associate--l+ clear-num *-commutative
Counts
4 → 167
Calls
4 calls:
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)) (cbrt (+ (+ x t) y)))
42.0ms
(* (/ 1 (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (cbrt (+ (+ x t) y))))

series809.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ (* (+ x y) z) (* (+ t y) a))
30.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
628.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (cbrt (+ (+ x t) y)))
132.0ms
(* (/ 1 (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (cbrt (+ (+ x t) y))))

simplify123.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
010573563
146613206
250033046

prune209.0ms

Filtered
179 candidates to 118 candidates (34.1%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1763179
Fresh178
Picked011
Done011
Total17712189

Merged error: 5.5b

Counts
189 → 12

localize32.0ms

Local error

Found 4 expressions with local error:

15.8b
(* (/ 1 (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (* (/ (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (cbrt (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))) (/ (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (cbrt (+ (+ x t) y))))))
24.3b
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
24.3b
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
24.3b
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
242×add-exp-log
126×prod-exp
77×div-exp
56×add-cbrt-cube
52×cbrt-unprod
35×cbrt-undiv
18×cbrt-div
15×associate-*l*
14×rec-exp 1-exp
9×pow1 cbrt-prod add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×associate-*r/
6×flip3-+ flip-+
5×associate-*l/
4×add-log-exp
3×flip3-- times-frac pow1/3 pow-prod-down flip--
1×associate-*r* *-commutative div-inv
Counts
4 → 142
Calls
4 calls:
56.0ms
(* (/ 1 (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (* (/ (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (cbrt (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))) (/ (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (cbrt (+ (+ x t) y))))))
9.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
9.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
9.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series486.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(* (/ 1 (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (* (/ (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (cbrt (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))) (/ (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (cbrt (+ (+ x t) y))))))
119.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
115.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
121.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify129.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08566646
139054904
250024215

prune162.0ms

Filtered
154 candidates to 76 candidates (50.6%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1540154
Fresh099
Picked011
Done022
Total15412166

Merged error: 5.5b

Counts
166 → 12

localize6.0ms

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

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New000
Fresh088
Picked011
Done033
Total01212

Merged error: 5.5b

Counts
12 → 12

regimes1.2s

Accuracy

82.3% (4.1b remaining)

Error of 8.4b against oracle of 4.3b and baseline of 27.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03632
13632

end0.0ms

sample937.0ms

Algorithm
intervals
Results
423.0ms7996×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid

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