Details

Time bar (total: 5.3s)

sample59.0ms

Algorithm
intervals
Results
25.0ms260×body80valid

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04116
18816
225416
366316
4161516
5236216
6258416
7312216
8500116

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.4b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* x y) z) y)
29.7b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
10×pow1
9×times-frac associate-*r* associate-*l*
6×associate-*l/
5×flip3-+ flip-+
4×add-log-exp
3×pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 91
Calls
4 calls:
12.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
6.0ms
(* (+ (* x y) z) y)
27.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series190.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
14.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms
(* (+ (* x y) z) y)
146.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify63.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05001269
121821155
250011153

prune214.0ms

Filtered
76 candidates to 103 candidates (-35.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New9310103
Fresh000
Picked011
Done000
Total9311104

Merged error: 29.3b

Counts
104 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* x y) z) y)
0.3b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
29.7b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
11×associate-/r/
9×pow1
8×flip3-+ div-exp flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv associate-*l/ add-log-exp
2×rec-exp frac-2neg 1-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×pow-flip inv-pow
Counts
4 → 155
Calls
4 calls:
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
6.0ms
(* (+ (* x y) z) y)
23.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
24.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series381.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms
(* (+ (* x y) z) y)
133.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
224.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify94.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06713548
132513285
250013205

prune234.0ms

Filtered
95 candidates to 167 candidates (-75.8%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1643167
Fresh189
Picked011
Done011
Total16513178

Merged error: 29.3b

Counts
178 → 13

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.2b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.6b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log associate-*r*
20×times-frac
15×add-cbrt-cube
11×pow1
9×associate-*l*
6×flip3-+ associate-*l/ prod-exp flip-+
5×unswap-sqr
4×div-exp associate-/r/ cbrt-unprod add-log-exp
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp div-inv
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 115
Calls
4 calls:
6.0ms
(* (+ (* x y) z) y)
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
12.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
28.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series184.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (+ (* x y) z) y)
14.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
22.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
140.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify74.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05501631
126571445
250011419

prune197.0ms

Filtered
78 candidates to 127 candidates (-62.8%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1243127
Fresh3710
Picked011
Done022
Total12713140

Merged error: 29.3b

Counts
140 → 13

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
29.7b
(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
31.0ms
(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series258.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(cbrt y)
37.0ms
(cbrt y)
23.0ms
(cbrt y)
159.0ms
(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify94.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
02761174
18751076
236081046
350021040

prune107.0ms

Filtered
59 candidates to 76 candidates (-28.8%)
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh099
Picked011
Done033
Total761389

Merged error: 29.3b

Counts
89 → 13

regimes1.4s

Accuracy

0% (1.1b remaining)

Error of 28.8b against oracle of 27.7b and baseline of 28.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04116
14116

end0.0ms

sample1.3s

Algorithm
intervals
Results
659.0ms8229×body80valid

Profiling

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