Details

Time bar (total: 4.4s)

sample20.0ms

Algorithm
intervals
Results
8.0ms266×body80valid

simplify122.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.3b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
9.3b
(/ x (* (- y z) (- t z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
11.0ms
(* (- y z) (- t z))
10.0ms
(/ x (* (- y z) (- t z)))

series176.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* (- y z) (- t z))
136.0ms
(/ x (* (- y z) (- t z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0384705
11834535
25002528

prune175.0ms

Filtered
91 candidates to 57 candidates (62.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New87491
Fresh000
Picked011
Done000
Total87592

Merged error: 0.0b

Counts
92 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
1.2b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite46.0ms

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*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 156
Calls
3 calls:
6.0ms
(/ x (- t z))
7.0ms
(/ 1 (- y z))
27.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series308.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ x (- t z))
44.0ms
(/ 1 (- y z))
233.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify75.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0528932
12265821
25002781

prune303.0ms

Filtered
165 candidates to 103 candidates (62.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1623165
Fresh213
Picked011
Done011
Total1646170

Merged error: 0b

Counts
170 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ (- t z) x)
1.1b
(/ 1 (/ (- t z) x))
1.2b
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
292×times-frac
247×add-sqr-sqrt
211×*-un-lft-identity
136×add-cube-cbrt
104×add-exp-log
62×associate-*r*
52×div-exp
34×add-cbrt-cube
32×distribute-lft-out-- difference-of-squares
28×prod-exp
27×associate-/r*
21×associate-*l*
18×rec-exp 1-exp
15×unswap-sqr
14×cbrt-undiv
12×div-inv
11×associate-/l*
10×pow1
6×associate-/r/ cbrt-unprod
4×expm1-log1p-u pow-flip log1p-expm1-u inv-pow add-log-exp
3×flip3-- frac-2neg pow-prod-down clear-num flip--
2×associate-/l/
1×frac-times div-sub associate-*r/ associate-*l/ un-div-inv *-commutative
Counts
4 → 334
Calls
4 calls:
6.0ms
(/ 1 (- y z))
7.0ms
(/ (- t z) x)
9.0ms
(/ 1 (/ (- t z) x))
41.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

series784.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ 1 (- y z))
35.0ms
(/ (- t z) x)
67.0ms
(/ 1 (/ (- t z) x))
645.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

simplify124.0ms

Algorithm
egg-herbie
Counts
346 → 346
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
011142511
148872156
250012156

prune636.0ms

Filtered
346 candidates to 203 candidates (58.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3460346
Fresh033
Picked011
Done022
Total3466352

Merged error: 0b

Counts
352 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
6.0ms
(/ x (- y z))
14.0ms
(/ (/ x (- y z)) (- t z))

series177.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (- y z))
145.0ms
(/ (/ x (- y z)) (- t z))

simplify86.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
06441751
123221707
250011707

prune394.0ms

Filtered
195 candidates to 131 candidates (67.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1941195
Fresh112
Picked011
Done033
Total1956201

Merged error: 0b

Counts
201 → 6

regimes151.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1135

end0.0ms

sample512.0ms

Algorithm
intervals
Results
279.0ms8398×body80valid