Details

Time bar (total: 1.7s)

analyze39.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
048899
148899

prune8.0ms

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: 0.3b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (/ y (- x y)))
0.0b
(/ y (- x y))
9.1b
(* x (* 2.0 (/ y (- x y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
22×associate-*r*
19×add-exp-log add-cbrt-cube
10×pow1
7×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
6×associate-*l*
5×associate-/r*
4×pow-prod-down associate-/r/
3×cbrt-undiv associate-*r/ div-exp associate-/l* add-log-exp
2×flip3-- *-commutative flip-- div-inv unswap-sqr
1×frac-2neg clear-num
Counts
3 → 98
Calls
3 calls:
9.0ms
(* 2.0 (/ y (- x y)))
5.0ms
(/ y (- x y))
8.0ms
(* x (* 2.0 (/ y (- x y))))

series22.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(* 2.0 (/ y (- x y)))
6.0ms
(/ y (- x y))
8.0ms
(* x (* 2.0 (/ y (- x y))))

simplify45.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05793891

prune129.0ms

Filtered
72 candidates to 107 candidates (-48.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1016107
Fresh101
Picked011
Done000
Total1027109

Merged error: 0.0b

Counts
109 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
9.1b
(* x (* 2.0 (* (* (cbrt y) (/ (cbrt y) (* (cbrt (- x y)) (cbrt (- x y))))) (/ (cbrt y) (cbrt (- x y))))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
35×prod-exp add-cbrt-cube cbrt-unprod
18×pow1
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
10×pow-prod-down
9×associate-*r/
8×cbrt-undiv add-cube-cbrt div-exp
6×cbrt-div
4×add-log-exp
3×flip3-- pow1/3 associate-*l* flip-- distribute-lft-out-- difference-of-squares
1×frac-times associate-*r* associate-*l/ *-commutative
Counts
4 → 84
Calls
4 calls:
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
26.0ms
(* x (* 2.0 (* (* (cbrt y) (/ (cbrt y) (* (cbrt (- x y)) (cbrt (- x y))))) (/ (cbrt y) (cbrt (- x y))))))

series91.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- x y))
25.0ms
(cbrt (- x y))
29.0ms
(cbrt (- x y))
11.0ms
(* x (* 2.0 (* (* (cbrt y) (/ (cbrt y) (* (cbrt (- x y)) (cbrt (- x y))))) (/ (cbrt y) (cbrt (- x y))))))

simplify64.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04933816
14933816

prune91.0ms

Filtered
56 candidates to 96 candidates (-71.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New95196
Fresh055
Picked011
Done011
Total958103

Merged error: 0.0b

Counts
103 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
9.1b
(* x (* 2.0 (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- x y)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
23×add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
10×pow-prod-down
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l*
2×cbrt-undiv div-exp
1×associate-*r* *-commutative
Counts
4 → 62
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
16.0ms
(* x (* 2.0 (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- x y)))))

series74.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
22.0ms
(cbrt y)
11.0ms
(* x (* 2.0 (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- x y)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05085434

prune92.0ms

Filtered
41 candidates to 74 candidates (-80.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh055
Picked011
Done022
Total74882

Merged error: 0.0b

Counts
82 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.2b
(* (/ y (- x y)) (cbrt x))
6.1b
(* (* (cbrt x) (cbrt x)) (* 2.0 (* (/ y (- x y)) (cbrt x))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
33×add-sqr-sqrt
27×pow1 add-cbrt-cube
24×prod-exp cbrt-unprod
23×*-un-lft-identity
22×associate-*l*
17×add-cube-cbrt times-frac
16×pow-prod-down
11×cbrt-prod
7×associate-*r*
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*r/ associate-*l/ associate-/r/ *-commutative
1×flip3-- flip-- div-inv
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
9.0ms
(* (/ y (- x y)) (cbrt x))
17.0ms
(* (* (cbrt x) (cbrt x)) (* 2.0 (* (/ y (- x y)) (cbrt x))))

series76.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
20.0ms
(cbrt x)
22.0ms
(* (/ y (- x y)) (cbrt x))
10.0ms
(* (* (cbrt x) (cbrt x)) (* 2.0 (* (/ y (- x y)) (cbrt x))))

simplify89.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
04981905
14981905

prune81.0ms

Filtered
68 candidates to 112 candidates (-64.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1084112
Fresh224
Picked011
Done213
Total1128120

Merged error: 0.0b

Counts
120 → 8

regimes122.0ms

Accuracy

-5% (5.7b remaining)

Error of 5.7b against oracle of 0.0b and baseline of 5.4b

bsearch11.0ms

Steps
ItersRangePoint
7
1.1687101551871662e+267
1.1932572761258373e+269
6.427361026581062e+268

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03742
13742

end0.0ms

sample347.0ms

Algorithm
intervals
Results
222.0ms8000×body80valid

Profiling

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