Details

Time bar (total: 2.1s)

sample24.0ms

Algorithm
intervals
Results
8.0ms273×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
03899
13899

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.8b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.7b
(/ x (* (- y z) (- t z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
add-exp-log add-cbrt-cube
frac-times associate-/r/
add-cube-cbrt
associate-*r* associate-*l*
pow1 associate-*r/ associate-*l/
times-frac associate-/l*
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
8.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series34.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- y z) (- t z))
26.0ms
(/ x (* (- y z) (- t z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04971752
14971752

prune86.0ms

Filtered
51 candidates to 69 candidates (-35.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New65469
Fresh000
Picked011
Done000
Total65570

Merged error: 0.0b

Counts
70 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
2.0b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
prod-exp associate-/r/
pow1 cbrt-undiv associate-/l* unswap-sqr
flip3-- flip-- cbrt-unprod div-inv
rec-exp 1-exp add-log-exp
frac-2neg clear-num
frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
5.0ms
(/ x (- t z))
5.0ms
(/ 1 (- y z))
19.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series57.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ x (- t z))
4.0ms
(/ 1 (- y z))
46.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
053031513

prune123.0ms

Filtered
100 candidates to 159 candidates (-59.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1581159
Fresh123
Picked011
Done011
Total1595164

Merged error: 0b

Counts
164 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.9b
(/ (/ x (- t z)) (- y z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
add-exp-log add-cbrt-cube
flip3-- flip-- div-inv
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- t z))
13.0ms
(/ (/ x (- t z)) (- y z))

series33.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (- t z))
26.0ms
(/ (/ x (- t z)) (- y z))

simplify77.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
050803096

prune134.0ms

Filtered
130 candidates to 191 candidates (-46.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1910191
Fresh022
Picked011
Done022
Total1915196

Merged error: 0b

Counts
196 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) x)
0.5b
(/ 1 (* (/ (- y z) x) (- t z)))
2.5b
(* (/ (- y z) x) (- t z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
41×*-un-lft-identity
34×times-frac
31×add-exp-log
25×add-cube-cbrt
19×associate-*l* add-cbrt-cube
11×div-exp
pow1 prod-exp associate-/l* distribute-lft-out-- difference-of-squares
cbrt-undiv
flip3-- associate-*r* associate-/r/ flip--
frac-times associate-*r/ associate-/r* cbrt-unprod
rec-exp 1-exp div-inv add-log-exp
distribute-rgt-in sub-neg pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num associate-/l/ unswap-sqr
div-sub *-commutative inv-pow
Counts
3 → 123
Calls
3 calls:
5.0ms
(/ (- y z) x)
10.0ms
(/ 1 (* (/ (- y z) x) (- t z)))
11.0ms
(* (/ (- y z) x) (- t z))

series67.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- y z) x)
46.0ms
(/ 1 (* (/ (- y z) x) (- t z)))
15.0ms
(* (/ (- y z) x) (- t z))

simplify67.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049751321
149751321

prune93.0ms

Filtered
88 candidates to 132 candidates (-50.0%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1320132
Fresh011
Picked011
Done033
Total1325137

Merged error: 0b

Counts
137 → 5

regimes356.0ms

Accuracy

45.9% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02249
12249

end0.0ms

sample634.0ms

Algorithm
intervals
Results
260.0ms8425×body80valid

Profiling

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