Details

Time bar (total: 3.4s)

analyze894.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample30.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
6.0ms76×body80invalid

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
07189
17189

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) a)
0.0b
(+ x (* y (/ (- t z) a)))
6.8b
(* y (/ (- t z) a))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
6.0ms
(/ (- t z) a)
3.0ms
(+ x (* y (/ (- t z) a)))
9.0ms
(* y (/ (- t z) a))

series37.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- t z) a)
18.0ms
(+ x (* y (/ (- t z) a)))
12.0ms
(* y (/ (- t z) a))

simplify47.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05883889

prune125.0ms

Filtered
66 candidates to 96 candidates (-45.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New88896
Fresh011
Picked011
Done000
Total881098

Merged error: 0.0b

Counts
98 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
1.2b
(* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt a) (cbrt a)))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
11×add-cbrt-cube
10×cbrt-div
9×pow1
8×add-cube-cbrt prod-exp cbrt-unprod
6×associate-*r/
5×flip3-- flip--
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down distribute-lft-out-- difference-of-squares
2×cbrt-undiv frac-times div-exp associate-*l/
1×associate-*r* *-commutative
Counts
4 → 72
Calls
4 calls:
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
14.0ms
(* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt a) (cbrt a)))))

series138.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (- t z))
28.0ms
(cbrt (- t z))
27.0ms
(cbrt (- t z))
54.0ms
(* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt a) (cbrt a)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05041909

prune139.0ms

Filtered
61 candidates to 84 candidates (-37.7%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New81384
Fresh178
Picked011
Done011
Total821294

Merged error: 0.0b

Counts
94 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t z))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 48
Calls
4 calls:
3.0ms
(cbrt (- t z))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series99.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- t z))
22.0ms
(cbrt y)
23.0ms
(cbrt y)
26.0ms
(cbrt y)

simplify65.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04882296
14882296

prune101.0ms

Filtered
44 candidates to 60 candidates (-36.4%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New60060
Fresh099
Picked011
Done022
Total601272

Merged error: 0.0b

Counts
72 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ a (- t z))
0.0b
(+ x (* y (/ 1 (/ a (- t z)))))
0.3b
(/ 1 (/ a (- t z)))
6.8b
(* y (/ 1 (/ a (- t z))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
186×add-sqr-sqrt
174×*-un-lft-identity
122×add-cube-cbrt
68×associate-*r*
36×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip--
7×pow1 cbrt-undiv prod-exp
6×associate-/l* add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 253
Calls
4 calls:
5.0ms
(/ a (- t z))
3.0ms
(+ x (* y (/ 1 (/ a (- t z)))))
8.0ms
(/ 1 (/ a (- t z)))
23.0ms
(* y (/ 1 (/ a (- t z))))

series47.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ a (- t z))
16.0ms
(+ x (* y (/ 1 (/ a (- t z)))))
7.0ms
(/ 1 (/ a (- t z)))
13.0ms
(* y (/ 1 (/ a (- t z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
265 → 265
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049882814
149882814

prune229.0ms

Filtered
168 candidates to 265 candidates (-57.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2632265
Fresh538
Picked101
Done303
Total2725277

Merged error: 0.0b

Counts
277 → 5

regimes399.0ms

Accuracy

76.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.5b

bsearch37.0ms

Steps
ItersRangePoint
8
2.4666069902502814e-17
2.3751196635870953e-14
3.6035247661278024e-16
6
-7.23587645895232e-15
-1.590654584560378e-15
-2.7341664699093905e-15

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03729
13729

end0.0ms

sample679.0ms

Algorithm
intervals
Results
270.0ms8000×body80valid
82.0ms2532×body80invalid

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