Details

Time bar (total: 8.6s)

sample3.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.417969%

Guaranteed chance to sample good point: 32.254803%

Results
9.0ms256×body80valid
2.0ms55×body80invalid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
8.2b
(/ (* y (- z t)) a)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 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/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series19.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
12.0ms
(/ (* y (- z t)) a)

simplify35.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0231226
11033189
25002189

prune86.0ms

Filtered
35 candidates to 55 candidates (-57.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New48755
Fresh000
Picked101
Done000
Total49756

Merged error: 0.0b

Counts
56 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
6.3b
(/ y (/ a (- z t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ a (- z t))
13.0ms
(/ y (/ a (- z t)))

simplify59.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04811051
121901013
250021004

prune139.0ms

Filtered
107 candidates to 145 candidates (-35.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1423145
Fresh426
Picked011
Done000
Total1466152

Merged error: 0.0b

Counts
152 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

5.6b
(* (/ y a) (- z t))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
9.0ms
(* (/ y a) (- z t))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(* (/ y a) (- z t))

simplify86.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0253228
1991200
24155200
35001200

prune55.0ms

Filtered
30 candidates to 45 candidates (-50.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New45045
Fresh044
Picked011
Done011
Total45651

Merged error: 0.0b

Counts
51 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- z t))
5.7b
(/ (/ y a) (/ 1 (- z t)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
384×add-sqr-sqrt *-un-lft-identity
292×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
28×add-exp-log
26×associate-/r*
18×div-exp
16×add-cbrt-cube associate-/l*
15×flip3-- flip--
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 372
Calls
2 calls:
6.0ms
(/ 1 (- z t))
16.0ms
(/ (/ y a) (/ 1 (- z t)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 1 (- z t))
13.0ms
(/ (/ y a) (/ 1 (- z t)))

simplify83.0ms

Algorithm
egg-herbie
Counts
378 → 378
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
016454157
150013755

prune299.0ms

Filtered
203 candidates to 378 candidates (-86.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3771378
Fresh033
Picked011
Done022
Total3777384

Merged error: 0b

Counts
384 → 7

regimes579.0ms

Accuracy

5.9% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.4b

bsearch48.0ms

Steps
ItersRangePoint
8
4.1153348630942253e-228
4.6868576763098116e-225
2.0312090770855816e-227
7
-8.123173855014123e-291
-9.919762271523109e-293
-4.277831395425321e-292

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample3.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.417969%

Guaranteed chance to sample good point: 32.254803%

Results
292.0ms8000×body80valid
88.0ms2351×body80invalid

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