Details

Time bar (total: 6.3s)

sample26.0ms

Algorithm
intervals
Results
13.0ms267×body80valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0238
1378
2658
3948
41088
51328
62018
73598
88258
932128
1050028

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: 24.6b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
0.9b
(+ (* x y) (* z (- t a)))
23.7b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
8×pow1
6×distribute-rgt-in sub-neg distribute-lft-in associate-*l* add-log-exp
4×associate-+r+ associate-*r/
3×flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 98
Calls
4 calls:
6.0ms
(* z (- t a))
6.0ms
(* z (- b y))
4.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series408.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* z (- t a))
33.0ms
(* z (- b y))
39.0ms
(+ (* x y) (* z (- t a)))
298.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0401714
11759659
25001659

prune267.0ms

Filtered
110 candidates to 74 candidates (67.3%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New9911110
Fresh000
Picked011
Done000
Total9912111

Merged error: 23.9b

Counts
111 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.6b
(/ 1 (+ y (* z (- b y))))
0.9b
(+ (* x y) (* z (- t a)))
23.4b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
20×times-frac associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative flip3-- pow-flip frac-2neg clear-num sum-log un-div-inv flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 116
Calls
4 calls:
6.0ms
(* z (- b y))
4.0ms
(/ 1 (+ y (* z (- b y))))
4.0ms
(+ (* x y) (* z (- t a)))
10.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series458.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* z (- b y))
78.0ms
(/ 1 (+ y (* z (- b y))))
39.0ms
(+ (* x y) (* z (- t a)))
304.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0449955
12234847
25001821

prune248.0ms

Filtered
128 candidates to 74 candidates (57.8%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1262128
Fresh3710
Picked011
Done011
Total12911140

Merged error: 23.9b

Counts
140 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

13.1b
(cbrt (+ y (* z (- b y))))
13.1b
(cbrt (+ y (* z (- b y))))
13.1b
(cbrt (+ y (* z (- b y))))
17.7b
(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
2.0ms
(cbrt (+ y (* z (- b y))))
2.0ms
(cbrt (+ y (* z (- b y))))
2.0ms
(cbrt (+ y (* z (- b y))))
14.0ms
(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

series1.9s

Counts
4 → 12
Calls
4 calls:
243.0ms
(cbrt (+ y (* z (- b y))))
238.0ms
(cbrt (+ y (* z (- b y))))
240.0ms
(cbrt (+ y (* z (- b y))))
1.2s
(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

simplify45.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04301194
112841082
250021039

prune308.0ms

Filtered
82 candidates to 72 candidates (87.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh088
Picked011
Done022
Total821193

Merged error: 23.9b

Counts
93 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

9.7b
(* (* (cbrt (+ (* x y) (* z (- t a)))) (cbrt (+ (* x y) (* z (- t a))))) (/ (cbrt (+ (* x y) (* z (- t a)))) (+ y (* z (- b y)))))
21.2b
(cbrt (+ (* x y) (* z (- t a))))
21.2b
(cbrt (+ (* x y) (* z (- t a))))
21.2b
(cbrt (+ (* x y) (* z (- t a))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
25×add-sqr-sqrt
24×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
16×add-exp-log frac-times flip3-+ flip-+
12×associate-*l/
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
5×associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 102
Calls
4 calls:
19.0ms
(* (* (cbrt (+ (* x y) (* z (- t a)))) (cbrt (+ (* x y) (* z (- t a))))) (/ (cbrt (+ (* x y) (* z (- t a)))) (+ y (* z (- b y)))))
3.0ms
(cbrt (+ (* x y) (* z (- t a))))
7.0ms
(cbrt (+ (* x y) (* z (- t a))))
3.0ms
(cbrt (+ (* x y) (* z (- t a))))

series736.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(* (* (cbrt (+ (* x y) (* z (- t a)))) (cbrt (+ (* x y) (* z (- t a))))) (/ (cbrt (+ (* x y) (* z (- t a)))) (+ y (* z (- b y)))))
146.0ms
(cbrt (+ (* x y) (* z (- t a))))
147.0ms
(cbrt (+ (* x y) (* z (- t a))))
143.0ms
(cbrt (+ (* x y) (* z (- t a))))

simplify73.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06292231
124152009
250021904

prune350.0ms

Filtered
114 candidates to 89 candidates (78.1%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1122114
Fresh167
Picked011
Done123
Total11411125

Merged error: 23.9b

Counts
125 → 11

regimes394.0ms

Accuracy

0% (0.6b remaining)

Error of 23.1b against oracle of 22.5b and baseline of 23.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1198

end0.0ms

sample702.0ms

Algorithm
intervals
Results
425.0ms8428×body80valid

Profiling

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