Details

Time bar (total: 3.7s)

sample23.0ms

Algorithm
intervals
Results
10.0ms341×body80valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1125764
1238734
1350014

prune2.0ms

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: 7.5b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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:
4.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(* y (- z x))
7.0ms
(/ (* y (- z x)) t)

series115.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ x (/ (* y (- z x)) t))
34.0ms
(* y (- z x))
48.0ms
(/ (* y (- z x)) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290325
11223280
25001280

prune111.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New64670
Fresh000
Picked101
Done000
Total65671

Merged error: 0b

Counts
71 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
4.5b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite27.0ms

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)
19.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series602.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt t)
169.0ms
(cbrt t)
176.0ms
(cbrt t)
88.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0480918
12615741
25001706

prune260.0ms

Filtered
116 candidates to 89 candidates (76.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1160116
Fresh055
Picked011
Done000
Total1166122

Merged error: 0b

Counts
122 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
6.1b
(/ y (/ t (- z x)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
18.0ms
(+ x (/ y (/ t (- z x))))
5.0ms
(/ t (- z x))
8.0ms
(/ y (/ t (- z x)))

series125.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ x (/ y (/ t (- z x))))
27.0ms
(/ t (- z x))
54.0ms
(/ y (/ t (- z x)))

simplify76.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05391150
123681110
250011107

prune287.0ms

Filtered
160 candidates to 119 candidates (74.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1591160
Fresh134
Picked011
Done011
Total1606166

Merged error: 0b

Counts
166 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z x))
0.0b
(+ x (/ (/ y t) (/ 1 (- z x))))
4.9b
(/ (/ y t) (/ 1 (- z x)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
387×*-un-lft-identity
385×add-sqr-sqrt
293×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
29×add-exp-log
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×associate-/l*
15×flip3-- flip--
9×cbrt-undiv
5×add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 384
Calls
3 calls:
6.0ms
(/ 1 (- z x))
61.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
15.0ms
(/ (/ y t) (/ 1 (- z x)))

series123.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 1 (- z x))
39.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
51.0ms
(/ (/ y t) (/ 1 (- z x)))

simplify82.0ms

Algorithm
egg-herbie
Counts
393 → 393
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017044274
150013890

prune600.0ms

Filtered
393 candidates to 217 candidates (55.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3930393
Fresh033
Picked011
Done022
Total3936399

Merged error: 0b

Counts
399 → 6

regimes108.0ms

Accuracy

17.7% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.0b

bsearch79.0ms

Steps
ItersRangePoint
10
1.3188860311099463e-50
4.324196087868127e-40
1.3978448114834497e-40
6
-1.0120816022826977e-115
-7.065383350981181e-117
-4.905515423698836e-116

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03014
13014

end0.0ms

sample610.0ms

Algorithm
intervals
Results
336.0ms10671×body80valid

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