Details

Time bar (total: 5.1s)

analyze861.0ms

Algorithm
search

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms56×body80invalid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.4b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
3.3b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
17.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
26.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series30.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (/ y z) (/ t (- 1.0 z)))
6.0ms
(/ t (- 1.0 z))
16.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0387632
11452595
25002593

prune151.0ms

Filtered
71 candidates to 98 candidates (-38.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New881098
Fresh000
Picked101
Done000
Total891099

Merged error: 1.0b

Counts
99 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
3.1b
(* x (neg (/ t (- 1.0 z))))
6.1b
(* x (/ y z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*r*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*l* associate-/r/ add-log-exp
5×associate-/r*
4×associate-*r/ div-inv
3×flip3-- prod-exp distribute-rgt-neg-out flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 147
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
5.0ms
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
13.0ms
(* x (neg (/ t (- 1.0 z))))
9.0ms
(* x (/ y z))

series40.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ t (- 1.0 z))
18.0ms
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
12.0ms
(* x (neg (/ t (- 1.0 z))))
5.0ms
(* x (/ y z))

simplify87.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0674868
13164809
25002808

prune214.0ms

Filtered
118 candidates to 159 candidates (-34.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1545159
Fresh639
Picked101
Done000
Total1618169

Merged error: 0.0b

Counts
169 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
3.3b
(* x (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
4×associate-*r/ add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×flip3-- pow-prod-down prod-exp *-commutative frac-sub flip-- cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
9.0ms
(* x (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))

series87.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt t)
22.0ms
(cbrt t)
24.0ms
(cbrt t)
19.0ms
(* x (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))

simplify125.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
0226513
1866450
24569391
35001385

prune97.0ms

Filtered
54 candidates to 70 candidates (-29.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh077
Picked011
Done000
Total70878

Merged error: 0.0b

Counts
78 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

6.1b
(* x (/ y z))
9.7b
(cbrt (/ t (- 1.0 z)))
9.7b
(cbrt (/ t (- 1.0 z)))
9.7b
(cbrt (/ t (- 1.0 z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
62×add-sqr-sqrt
57×*-un-lft-identity
55×times-frac
39×add-cube-cbrt
13×associate-*r*
9×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
6×pow1 associate-/r/
4×div-inv add-log-exp
3×cbrt-div flip3-- pow1/3 associate-*l* flip--
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative
Counts
4 → 122
Calls
4 calls:
6.0ms
(* x (/ y z))
5.0ms
(cbrt (/ t (- 1.0 z)))
5.0ms
(cbrt (/ t (- 1.0 z)))
5.0ms
(cbrt (/ t (- 1.0 z)))

series65.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* x (/ y z))
19.0ms
(cbrt (/ t (- 1.0 z)))
19.0ms
(cbrt (/ t (- 1.0 z)))
22.0ms
(cbrt (/ t (- 1.0 z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04111122
113961069
250021006

prune290.0ms

Filtered
108 candidates to 134 candidates (-24.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh066
Picked011
Done011
Total1348142

Merged error: 0.0b

Counts
142 → 8

regimes308.0ms

Accuracy

12.7% (4.0b remaining)

Error of 4.1b against oracle of 0.1b and baseline of 4.7b

bsearch1.1s

Steps
ItersRangePoint
9
-7.783712519719341e-264
-1.0631326882797418e-272
-3.4595257696334368e-270
9
-5.1797192490111176e+85
-2.925573355461039e+78
-2.740140865223198e+79

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03717
14117
24217
34217

end0.0ms

analyze648.0ms

Algorithm
search

sample612.0ms

Algorithm
intervals
Results
297.0ms8000×body80valid
69.0ms1835×body80invalid

Profiling

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