Details

Time bar (total: 3.3s)

sample28.0ms

Algorithm
intervals
Results
17.0ms265×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1405
2845
32005
44635
57085
612615
718545
824465
928115
1028135
1128135

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
7.6b
(/ x (* (- y z) (- y t)))

rewrite30.0ms

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:
19.0ms
(* (- y z) (- y t))
8.0ms
(/ x (* (- y z) (- y t)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- y z) (- y t))
72.0ms
(/ x (* (- y z) (- y t)))

simplify56.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0390703
11853534
25003534

prune211.0ms

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))
0.4b
(/ 1 (* (- y z) (- y t)))
7.4b
(* x (/ 1 (* (- y z) (- y t))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
30×add-sqr-sqrt
26×*-un-lft-identity
22×add-cube-cbrt
20×associate-*r*
19×add-cbrt-cube
18×flip3-- prod-diff flip--
16×associate-/r/
14×prod-exp
12×frac-times
11×distribute-rgt-in distribute-lft-in
10×pow1
8×div-exp associate-*l*
7×associate-*r/
6×times-frac associate-*l/ cbrt-unprod
4×cbrt-undiv rec-exp 1-exp
3×expm1-log1p-u pow-prod-down log1p-expm1-u associate-/l* add-log-exp
2×sub-neg pow-flip *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-2neg clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 134
Calls
3 calls:
19.0ms
(* (- y z) (- y t))
13.0ms
(/ 1 (* (- y z) (- y t)))
41.0ms
(* x (/ 1 (* (- y z) (- y t))))

series175.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* (- y z) (- y t))
75.0ms
(/ 1 (* (- y z) (- y t)))
70.0ms
(* x (/ 1 (* (- y z) (- y t))))

simplify75.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05151000
12682783
25002773

prune319.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- y t))
0.0b
(/ 1 (- y z))
0.2b
(* (/ 1 (- y z)) (/ 1 (- y t)))
7.4b
(* x (* (/ 1 (- y z)) (/ 1 (- y t))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
110×add-exp-log
95×add-sqr-sqrt
77×*-un-lft-identity
72×times-frac
49×prod-exp
43×add-cube-cbrt
38×add-cbrt-cube
36×div-exp
24×associate-*l*
22×associate-*r*
18×rec-exp 1-exp
15×pow1
14×distribute-lft-out-- difference-of-squares
13×cbrt-unprod
10×cbrt-undiv associate-/r*
9×unswap-sqr
8×associate-/r/
6×associate-*r/ pow-prod-down associate-/l*
4×expm1-log1p-u flip3-- pow-flip flip-- log1p-expm1-u div-inv inv-pow add-log-exp
2×frac-times frac-2neg associate-*l/ clear-num un-div-inv *-commutative
Counts
4 → 216
Calls
4 calls:
6.0ms
(/ 1 (- y t))
6.0ms
(/ 1 (- y z))
38.0ms
(* (/ 1 (- y z)) (/ 1 (- y t)))
32.0ms
(* x (* (/ 1 (- y z)) (/ 1 (- y t))))

series225.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ 1 (- y t))
44.0ms
(/ 1 (- y z))
70.0ms
(* (/ 1 (- y z)) (/ 1 (- y t)))
73.0ms
(* x (* (/ 1 (- y z)) (/ 1 (- y t))))

simplify74.0ms

Algorithm
egg-herbie
Counts
228 → 228
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06831359
127011143
250011044

prune404.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
7.6b
(/ x (* (- y z) (- y t)))

rewrite33.0ms

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:
22.0ms
(* (- y z) (- y t))
8.0ms
(/ x (* (- y z) (- y t)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (- y z) (- y t))
62.0ms
(/ x (* (- y z) (- y t)))

simplify54.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0390703
11853534
25003534

prune199.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes145.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample799.0ms

Algorithm
intervals
Results
573.0ms8424×body80valid