Details

Time bar (total: 6.0s)

sample2.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 5.700684%

Guaranteed chance to sample good point: 51.831715%

Results
8.0ms256×body80valid
2.0ms59×body80invalid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1284
2484
3794
41214
51494
62184
73204
83964
95994
108934
1112674
1223334
1335874
1450024

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.8b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
7.2b
(/ (* (- y x) z) 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-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- 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 → 57
Calls
3 calls:
4.0ms
(+ x (/ (* (- y x) z) t))
6.0ms
(* (- y x) z)
6.0ms
(/ (* (- y x) z) t)

series33.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (/ (* (- y x) z) t))
6.0ms
(* (- y x) z)
15.0ms
(/ (* (- y x) z) t)

simplify37.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0283314
11117267
25001267

prune78.0ms

Filtered
45 candidates to 66 candidates (-46.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New62466
Fresh000
Picked011
Done000
Total62567

Merged error: 0.0b

Counts
67 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
7.7b
(/ (- y x) (/ t z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
20.0ms
(+ x (/ (- y x) (/ t z)))
8.0ms
(/ (- y x) (/ t z))

series22.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ x (/ (- y x) (/ t z)))
12.0ms
(/ (- y x) (/ t z))

simplify58.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0609959
12199914
25001913

prune104.0ms

Filtered
85 candidates to 120 candidates (-41.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1191120
Fresh033
Picked011
Done011
Total1196125

Merged error: 0b

Counts
125 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
7.6b
(* (- y x) (/ z t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
9.0ms
(* (- y x) (/ z t))

series25.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ x (* (- y x) (/ z t)))
11.0ms
(* (- y x) (/ z t))

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0296310
11245287
25001275

prune53.0ms

Filtered
37 candidates to 55 candidates (-48.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New55055
Fresh033
Picked011
Done022
Total55661

Merged error: 0b

Counts
61 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(* (cbrt t) (cbrt t))
4.2b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
33×cbrt-prod
31×*-un-lft-identity
30×times-frac
29×add-cube-cbrt
28×associate-*r*
27×add-exp-log
18×add-cbrt-cube
15×associate-*l*
13×pow1
10×unswap-sqr
9×prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
6×swap-sqr
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
Counts
4 → 123
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
5.0ms
(* (cbrt t) (cbrt t))
16.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
21.0ms
(cbrt t)
27.0ms
(* (cbrt t) (cbrt t))
17.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify77.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05511002
12754881
25002809

prune99.0ms

Filtered
90 candidates to 135 candidates (-50.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1350135
Fresh022
Picked011
Done033
Total1356141

Merged error: 0b

Counts
141 → 6

regimes321.0ms

Accuracy

5.7% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.8b

bsearch38.0ms

Steps
ItersRangePoint
6
7.713519670558732e-145
1.2147087275117303e-143
8.488962302411978e-144
7
-1.8050882436603965e-223
-1.2056911140982806e-225
-7.990585584441406e-225

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02817
12817

end0.0ms

sample2.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 5.700684%

Guaranteed chance to sample good point: 51.831715%

Results
271.0ms8000×body80valid
69.0ms2023×body80invalid

Profiling

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