Details

Time bar (total: 4.9s)

sample31.0ms

Algorithm
intervals
Results
20.0ms269×body80valid

simplify83.0ms

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: 0.5b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
63×prod-diff
49×add-sqr-sqrt
47×*-un-lft-identity
41×add-cube-cbrt
32×associate-/r/
31×flip3-- flip--
20×frac-times
12×times-frac
11×distribute-rgt-in distribute-lft-in
10×add-exp-log associate-*r/ associate-*l/ add-cbrt-cube
5×pow1 associate-*r* associate-*l* add-log-exp
4×div-inv
3×expm1-log1p-u sub-neg fma-neg log1p-expm1-u associate-/l* distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp cbrt-unprod
1×frac-2neg diff-log pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
3 → 149
Calls
3 calls:
15.0ms
(- 1.0 (/ x (* (- y z) (- y t))))
19.0ms
(* (- y z) (- y t))
8.0ms
(/ x (* (- y z) (- y t)))

series161.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(- 1.0 (/ x (* (- y z) (- y t))))
27.0ms
(* (- y z) (- y t))
61.0ms
(/ x (* (- y z) (- y t)))

simplify97.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07392495
133041795
250011771

prune343.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
0.0b
(* (- y z) (- y t))
1.5b
(/ 1 (* (- y z) (- y t)))
6.1b
(* x (/ 1 (* (- y z) (- y t))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
33×add-sqr-sqrt
29×*-un-lft-identity
25×add-cube-cbrt
21×prod-diff
20×associate-*r* add-cbrt-cube
19×flip3-- flip--
16×associate-/r/
14×prod-exp
12×frac-times
11×pow1 distribute-rgt-in distribute-lft-in
8×div-exp associate-*l*
7×associate-*r/
6×times-frac associate-*l/ cbrt-unprod add-log-exp
4×cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u
3×sub-neg fma-neg pow-prod-down associate-/l*
2×pow-flip *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-2neg diff-log clear-num associate-/r* un-div-inv inv-pow
Counts
4 → 154
Calls
4 calls:
2.0ms
(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
19.0ms
(* (- y z) (- y t))
14.0ms
(/ 1 (* (- y z) (- y t)))
42.0ms
(* x (/ 1 (* (- y z) (- y t))))

series232.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
27.0ms
(* (- y z) (- y t))
67.0ms
(/ 1 (* (- y z) (- y t)))
63.0ms
(* x (/ 1 (* (- y z) (- y t))))

simplify76.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05931217
12953970
25001955

prune350.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ (/ x (- y z)) (- y t)))
0.0b
(/ x (- y z))
2.8b
(/ (/ x (- y z)) (- y t))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
753×times-frac
715×add-sqr-sqrt
708×*-un-lft-identity
402×add-cube-cbrt
333×prod-diff
155×difference-of-squares
153×distribute-lft-out--
52×associate-/r/
27×flip3-- flip--
26×div-inv
24×associate-/l*
10×add-exp-log associate-/r* add-cbrt-cube
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-neg log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg diff-log associate-/l/
Counts
3 → 543
Calls
3 calls:
66.0ms
(- 1.0 (/ (/ x (- y z)) (- y t)))
5.0ms
(/ x (- y z))
17.0ms
(/ (/ x (- y z)) (- y t))

series167.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(- 1.0 (/ (/ x (- y z)) (- y t)))
28.0ms
(/ x (- y z))
65.0ms
(/ (/ x (- y z)) (- y t))

simplify146.0ms

Algorithm
egg-herbie
Counts
552 → 552
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0228117149
1500113946

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (- (* y y) (* z z)) (- y t))
2.7b
(- (* y y) (* z z))
5.2b
(/ x (* (- (* y y) (* z z)) (- y t)))
11.2b
(* (/ x (* (- (* y y) (* z z)) (- y t))) (+ y z))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
27×*-un-lft-identity
23×add-cube-cbrt
20×add-exp-log add-cbrt-cube
19×flip3-- associate-*l* prod-diff flip--
16×associate-/r/
14×frac-times
12×distribute-rgt-in distribute-lft-in
9×associate-*r*
8×pow1 associate-*r/
7×associate-*l/
6×times-frac prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×sub-neg associate-/l* difference-of-squares
2×flip3-+ pow-prod-down *-commutative flip-+ div-inv unswap-sqr
1×frac-2neg fma-neg diff-log clear-num associate-/r* distribute-lft-out distribute-lft-out--
Counts
4 → 145
Calls
4 calls:
19.0ms
(* (- (* y y) (* z z)) (- y t))
3.0ms
(- (* y y) (* z z))
8.0ms
(/ x (* (- (* y y) (* z z)) (- y t)))
39.0ms
(* (/ x (* (- (* y y) (* z z)) (- y t))) (+ y z))

series247.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (- (* y y) (* z z)) (- y t))
36.0ms
(- (* y y) (* z z))
75.0ms
(/ x (* (- (* y y) (* z z)) (- y t)))
93.0ms
(* (/ x (* (- (* y y) (* z z)) (- y t))) (+ y z))

simplify97.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
07161519
138211243
250021236

prune391.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample780.0ms

Algorithm
intervals
Results
562.0ms8454×body80valid