Details

Time bar (total: 1.5s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (70.0ms)

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: 0.0b

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))
5.9b
(* x (* 2.0 (/ y (- x y))))

rewrite31.0ms

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:
10.0ms
(* 2.0 (/ y (- x y)))
6.0ms
(/ y (- x y))
12.0ms
(* x (* 2.0 (/ y (- x y))))

series21.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* 2.0 (/ y (- x y)))
5.0ms
(/ 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

prune92.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1043107
Fresh011
Picked011
Done000
Total1045109

Merged error: 0.0b

Counts
109 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (* y (/ 1 (- x y))))
0.0b
(/ 1 (- x y))
0.2b
(* y (/ 1 (- x y)))
5.9b
(* x (* 2.0 (* y (/ 1 (- x y)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
47×add-sqr-sqrt
41×*-un-lft-identity
34×add-cbrt-cube
32×times-frac
28×prod-exp
26×add-cube-cbrt
23×associate-*r*
21×pow1
16×cbrt-unprod
10×pow-prod-down
9×associate-*r/ associate-*l*
8×div-exp
7×distribute-lft-out-- difference-of-squares
5×associate-/r*
4×cbrt-undiv rec-exp 1-exp associate-/r/ add-log-exp
3×un-div-inv *-commutative associate-/l* unswap-sqr
2×flip3-- flip-- div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
4 → 136
Calls
4 calls:
9.0ms
(* 2.0 (* y (/ 1 (- x y))))
5.0ms
(/ 1 (- x y))
10.0ms
(* y (/ 1 (- x y)))
12.0ms
(* x (* 2.0 (* y (/ 1 (- x y)))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* 2.0 (* y (/ 1 (- x y))))
4.0ms
(/ 1 (- x y))
5.0ms
(* y (/ 1 (- x y)))
8.0ms
(* x (* 2.0 (* y (/ 1 (- x y)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049521084
149521084

prune110.0ms

Filtered
81 candidates to 148 candidates (-82.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1480148
Fresh033
Picked011
Done011
Total1485153

Merged error: 0.0b

Counts
153 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (* 2.0 (/ y (- x y)))))
5.9b
(* x (* 2.0 (/ y (- x y))))
5.9b
(* x (* 2.0 (/ y (- x y))))
5.9b
(* x (* 2.0 (/ y (- x y))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
19×pow1
15×prod-exp cbrt-unprod
9×associate-*l* pow-prod-down
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-undiv div-exp associate-*r* *-commutative
1×cbrt-prod cbrt-div pow1/3
Counts
4 → 73
Calls
4 calls:
7.0ms
(cbrt (* x (* 2.0 (/ y (- x y)))))
9.0ms
(* x (* 2.0 (/ y (- x y))))
9.0ms
(* x (* 2.0 (/ y (- x y))))
9.0ms
(* x (* 2.0 (/ y (- x y))))

series56.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(cbrt (* x (* 2.0 (/ y (- x y)))))
8.0ms
(* x (* 2.0 (/ y (- x y))))
8.0ms
(* x (* 2.0 (/ y (- x y))))
8.0ms
(* x (* 2.0 (/ y (- x y))))

simplify67.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04901788
14901788

prune116.0ms

Filtered
51 candidates to 85 candidates (-66.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done022
Total85590

Merged error: 0.0b

Counts
90 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

16.9b
(/ (* (* x 2.0) y) (- x y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/r*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 flip3-- frac-2neg clear-num flip-- div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
8.0ms
(/ (* (* x 2.0) y) (- x y))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (* (* x 2.0) y) (- x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
06261313

prune32.0ms

Filtered
22 candidates to 32 candidates (-45.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New28432
Fresh101
Picked011
Done213
Total31637

Merged error: 0b

Counts
37 → 6

regimes170.0ms

Accuracy

92.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05568
15568

end0.0ms

sample411.0ms

Algorithm
intervals
Results
209.0ms8000×body80valid

Profiling

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