Details

Time bar (total: 3.9s)

sample16.0ms

Algorithm
intervals
Results
7.0ms269×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1304
2654
31564
43024
54704
68654
712434
815454
917054
1017054

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
5.9b
(/ x (* (- y z) (- t z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×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
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
17.0ms
(* (- y z) (- t z))
7.0ms
(/ x (* (- y z) (- t z)))

series153.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (- t z))
122.0ms
(/ x (* (- y z) (- t z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0300403
11371359
25001355

prune161.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
1.9b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite53.0ms

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×rec-exp 1-exp 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 → 150
Calls
3 calls:
5.0ms
(/ x (- t z))
5.0ms
(/ 1 (- y z))
36.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series270.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ x (- t z))
34.0ms
(/ 1 (- y z))
208.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0518909
12245798
25001758

prune297.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- t z) x)
0.0b
(/ 1 (- y z))
0.5b
(/ 1 (/ (- t z) x))
1.9b
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

rewrite101.0ms

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×pow-flip 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 → 326
Calls
4 calls:
7.0ms
(/ (- t z) x)
5.0ms
(/ 1 (- y z))
9.0ms
(/ 1 (/ (- t z) x))
59.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

series695.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (- t z) x)
38.0ms
(/ 1 (- y z))
60.0ms
(/ 1 (/ (- t z) x))
572.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

simplify95.0ms

Algorithm
egg-herbie
Counts
338 → 338
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
011012479
148972124
250012091

prune602.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.8b
(/ (/ x (- t z)) (- y z))

rewrite35.0ms

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 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- t z))
16.0ms
(/ (/ x (- t z)) (- y z))

series146.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ x (- t z))
119.0ms
(/ (/ x (- t z)) (- y z))

simplify61.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
06361735
123041691
250011691

prune380.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

64.5% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02014
12014

end0.0ms

sample419.0ms

Algorithm
intervals
Results
215.0ms8454×body80valid