Details

Time bar (total: 22.0s)

sample9.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 8.184814%

Guaranteed chance to sample good point: 53.666157%

Results
11.0ms256×body80valid
2.0ms53×body80invalid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1121284
1233854
1350024

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.8b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
8.3b
(/ (* y (- z x)) t)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
6.0ms
(* y (- z x))
4.0ms
(+ x (/ (* y (- z x)) t))
7.0ms
(/ (* y (- z x)) t)

series30.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z x))
11.0ms
(+ x (/ (* y (- z x)) t))
12.0ms
(/ (* y (- z x)) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290325
11223280
25001280

prune82.0ms

Filtered
45 candidates to 70 candidates (-55.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New65570
Fresh000
Picked011
Done000
Total65671

Merged error: 0.0b

Counts
71 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
6.7b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
18.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series85.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt t)
21.0ms
(cbrt t)
21.0ms
(cbrt t)
21.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0500954
12500845
25001783

prune126.0ms

Filtered
84 candidates to 116 candidates (-38.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1142116
Fresh044
Picked011
Done011
Total1148122

Merged error: 0.0b

Counts
122 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt (cbrt t))
1.5b
(* (* (/ y (* (cbrt t) (cbrt t))) (/ (* (cbrt (- z x)) (cbrt (- z x))) (cbrt (* (cbrt t) (cbrt t))))) (/ (cbrt (- z x)) (cbrt (cbrt t))))
3.7b
(* (/ y (* (cbrt t) (cbrt t))) (/ (* (cbrt (- z x)) (cbrt (- z x))) (cbrt (* (cbrt t) (cbrt t)))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
144×add-exp-log
132×cbrt-prod
86×times-frac
84×associate-*r*
82×add-sqr-sqrt
72×*-un-lft-identity
70×add-cbrt-cube
65×prod-exp cbrt-unprod
54×add-cube-cbrt
46×cbrt-undiv div-exp
11×pow1
9×distribute-lft-out-- difference-of-squares
8×associate-*l*
6×frac-times associate-*l/ unswap-sqr
4×associate-*r/ pow-prod-down add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 210
Calls
4 calls:
1.0ms
(cbrt t)
2.0ms
(cbrt (cbrt t))
37.0ms
(* (* (/ y (* (cbrt t) (cbrt t))) (/ (* (cbrt (- z x)) (cbrt (- z x))) (cbrt (* (cbrt t) (cbrt t))))) (/ (cbrt (- z x)) (cbrt (cbrt t))))
17.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (* (cbrt (- z x)) (cbrt (- z x))) (cbrt (* (cbrt t) (cbrt t)))))

series147.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
31.0ms
(cbrt (cbrt t))
19.0ms
(* (* (/ y (* (cbrt t) (cbrt t))) (/ (* (cbrt (- z x)) (cbrt (- z x))) (cbrt (* (cbrt t) (cbrt t))))) (/ (cbrt (- z x)) (cbrt (cbrt t))))
76.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (* (cbrt (- z x)) (cbrt (- z x))) (cbrt (* (cbrt t) (cbrt t)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
222 → 222
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
012744679
150024018

prune221.0ms

Filtered
159 candidates to 222 candidates (-39.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2220222
Fresh055
Picked011
Done022
Total2228230

Merged error: 0.0b

Counts
230 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.0b
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))
1.4b
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt
94×times-frac
85×add-exp-log
77×cbrt-prod
63×*-un-lft-identity
51×add-cube-cbrt
50×associate-*l*
41×add-cbrt-cube
36×prod-exp cbrt-unprod
35×associate-*r*
26×cbrt-undiv div-exp
15×unswap-sqr
11×pow1
6×frac-times associate-*r/ distribute-lft-out-- difference-of-squares
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 189
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
22.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))
31.0ms
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

series118.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
22.0ms
(cbrt t)
17.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))
58.0ms
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

simplify99.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
09112298
138711940
250031806

prune159.0ms

Filtered
138 candidates to 201 candidates (-45.7%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2010201
Fresh044
Picked011
Done033
Total2018209

Merged error: 0.0b

Counts
209 → 8

regimes411.0ms

Accuracy

52.9% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02520
12520

end0.0ms

sample10.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 8.184814%

Guaranteed chance to sample good point: 53.666157%

Results
256.0ms8000×body80valid
54.0ms1708×body80invalid

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