Details

Time bar (total: 7.0s)

sample18.0ms

Algorithm
intervals
Results
6.0ms270×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 7.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.3b
(/ x (* (- y z) (- t z)))

rewrite58.0ms

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:
38.0ms
(* (- y z) (- t z))
17.0ms
(/ x (* (- y z) (- t z)))

series140.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- y z) (- t z))
110.0ms
(/ x (* (- y z) (- t z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0300403
11371359
25001355

prune152.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.5b
(/ (/ x (- y z)) (- t z))

rewrite51.0ms

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:
11.0ms
(/ x (- y z))
29.0ms
(/ (/ x (- y z)) (- t z))

series137.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ x (- y z))
112.0ms
(/ (/ x (- y z)) (- t z))

simplify61.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06361735
123041691
250011691

prune389.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.9b
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (cbrt (- y z))) (- t z)))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
296×times-frac
246×add-sqr-sqrt
215×*-un-lft-identity
156×associate-*r*
115×add-cube-cbrt
93×cbrt-prod
82×add-exp-log
48×distribute-lft-out-- difference-of-squares
33×div-exp
31×add-cbrt-cube
30×prod-exp
28×cbrt-div
20×associate-/r/
15×cbrt-undiv flip3-- associate-*l* flip--
12×cbrt-unprod unswap-sqr
7×div-inv
6×pow1 rec-exp 1-exp
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 270
Calls
4 calls:
4.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
205.0ms
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (cbrt (- y z))) (- t z)))

series597.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(cbrt (- y z))
135.0ms
(cbrt (- y z))
136.0ms
(cbrt (- y z))
193.0ms
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (cbrt (- y z))) (- t z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
282 → 282
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015093748
150013465

prune791.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.4b
(/ (/ 1 1) (/ (- t z) (/ x (- y z))))
1.5b
(/ (- t z) (/ x (- y z)))

rewrite324.0ms

Algorithm
rewrite-expression-head
Rules
5159×times-frac
2900×add-sqr-sqrt *-un-lft-identity
1804×add-cube-cbrt
548×distribute-lft-out-- difference-of-squares
204×div-inv
170×associate-/r/
136×associate-/r*
78×flip3-- flip--
70×add-exp-log
58×div-exp
31×add-cbrt-cube
21×associate-/l*
19×cbrt-undiv
15×1-exp
6×rec-exp
3×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
3 → 1778
Calls
3 calls:
11.0ms
(/ x (- y z))
69.0ms
(/ (/ 1 1) (/ (- t z) (/ x (- y z))))
30.0ms
(/ (- t z) (/ x (- y z)))

series275.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ x (- y z))
200.0ms
(/ (/ 1 1) (/ (- t z) (/ x (- y z))))
50.0ms
(/ (- t z) (/ x (- y z)))

simplify274.0ms

Algorithm
egg-herbie
Counts
1787 → 1787
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0500126920

prune2.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084

end0.0ms

sample489.0ms

Algorithm
intervals
Results
197.0ms8464×body80valid