Details

Time bar (total: 4.5s)

sample22.0ms

Algorithm
intervals
Results
10.0ms271×body80valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1405
2805
31745
43695
55035
67695
711915
814515
916065
1016065

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
6.8b
(/ x (* (- y z) (- y t)))

rewrite55.0ms

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:
37.0ms
(* (- y z) (- y t))
16.0ms
(/ x (* (- y z) (- y t)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- y z) (- y t))
58.0ms
(/ x (* (- y z) (- y t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0304403
11399360
25002360

prune175.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.3b
(/ 1 (/ (* (- y z) (- y t)) x))
6.8b
(/ (* (- y z) (- y t)) x)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
31×add-exp-log
29×add-sqr-sqrt
27×*-un-lft-identity
23×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×flip3-- flip--
10×associate-/r*
8×frac-times associate-/l/
7×cbrt-undiv
6×pow1 div-inv
5×associate-*r* associate-*l* prod-exp
4×associate-*r/ associate-*l/ associate-/l*
3×rec-exp 1-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out-- difference-of-squares
1×pow-flip pow-prod-down associate-/r/ *-commutative inv-pow unswap-sqr
Counts
3 → 119
Calls
3 calls:
34.0ms
(* (- y z) (- y t))
26.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
23.0ms
(/ (* (- y z) (- y t)) x)

series205.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (- y z) (- y t))
127.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
47.0ms
(/ (* (- y z) (- y t)) x)

simplify76.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0530854
12893750
25001713

prune261.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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:
10.0ms
(/ x (- y z))
28.0ms
(/ (/ x (- y z)) (- y t))

series84.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ x (- y z))
56.0ms
(/ (/ x (- y z)) (- y t))

simplify70.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06401735
123171691
250011691

prune663.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y t))
0.3b
(/ 1 (/ (- y z) (/ x (- y t))))
2.8b
(/ (- y z) (/ x (- y t)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
1260×times-frac
844×add-sqr-sqrt *-un-lft-identity
468×add-cube-cbrt
188×distribute-lft-out-- difference-of-squares
136×associate-/r*
60×associate-/r/
33×div-inv
31×add-exp-log
28×flip3-- flip--
19×div-exp add-cbrt-cube
11×associate-/l*
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
2×associate-/l/
1×pow-flip div-sub inv-pow
Counts
3 → 654
Calls
3 calls:
11.0ms
(/ x (- y t))
46.0ms
(/ 1 (/ (- y z) (/ x (- y t))))
27.0ms
(/ (- y z) (/ x (- y t)))

series207.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ x (- y t))
124.0ms
(/ 1 (/ (- y z) (/ x (- y t))))
55.0ms
(/ (- y z) (/ x (- y t)))

simplify117.0ms

Algorithm
egg-herbie
Counts
663 → 663
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
018637905
150017526

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes130.0ms

Accuracy

93.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.1b

bsearch85.0ms

Steps
ItersRangePoint
9
3.456620601219923e+49
6.711340266541749e+54
7.107102946301718e+50
9
-13.771506268536468
-4.2367695070489647e-07
-1.901406615607111e-06

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611
12611

end0.0ms

sample499.0ms

Algorithm
intervals
Results
218.0ms8459×body80valid