Details

Time bar (total: 5.5s)

sample30.0ms

Algorithm
intervals
Results
12.0ms267×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0238
1358
2608
31038
41838
54168
611948
750018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b
(- (* t z) x)
9.0b
(/ (- (* y z) x) (- (* t z) x))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
4×pow1 div-sub associate-/r/ associate-/l/
3×flip3-- flip3-+ flip-- flip-+
2×cbrt-undiv associate-+r- frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 98
Calls
4 calls:
124.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
39.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
8.0ms
(- (* t z) x)
29.0ms
(/ (- (* y z) x) (- (* t z) x))

series304.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
90.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
25.0ms
(- (* t z) x)
64.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify44.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03971011
11388948
25001947

prune252.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
0.0b
(- (* t z) x)
0.1b
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
9.0b
(/ (- (* t z) x) (- (* y z) x))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
110×times-frac
94×*-un-lft-identity
67×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
19×add-exp-log
16×distribute-lft-out
13×associate-/r/ add-cbrt-cube
12×div-inv
11×associate-/l*
9×div-exp
7×flip3-- flip--
6×add-log-exp
5×pow1 cbrt-undiv
4×associate-/l/
3×frac-2neg clear-num
2×rec-exp flip3-+ 1-exp flip-+
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
4 → 173
Calls
4 calls:
154.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
9.0ms
(- (* t z) x)
27.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
28.0ms
(/ (- (* t z) x) (- (* y z) x))

series322.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
24.0ms
(- (* t z) x)
85.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
62.0ms
(/ (- (* t z) x) (- (* y z) x))

simplify72.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06332024
129171860
250021781

prune347.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- x) (/ (- (* y z) x) (- (* t z) x)))
0.0b
(- (* t z) x)
0.0b
(/ (- (- x) (/ (- (* y z) x) (- (* t z) x))) (- (+ x 1.0)))
9.0b
(/ (- (* y z) x) (- (* t z) x))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
137×*-un-lft-identity
119×add-sqr-sqrt
107×times-frac
49×add-cube-cbrt
46×distribute-rgt-neg-in
32×distribute-lft-neg-in
28×distribute-lft-out-- difference-of-squares
16×distribute-lft-out
15×associate-/r*
10×associate-/l* add-log-exp
8×add-exp-log neg-mul-1 add-cbrt-cube
5×flip3-- flip--
4×pow1 associate-/r/ associate-/l/
3×diff-log div-sub
2×cbrt-undiv sub-neg frac-2neg div-exp clear-num div-inv distribute-neg-frac
1×associate--l- neg-sub0 flip3-+ neg-log flip-+ associate--r-
Counts
4 → 183
Calls
4 calls:
46.0ms
(- (- x) (/ (- (* y z) x) (- (* t z) x)))
8.0ms
(- (* t z) x)
147.0ms
(/ (- (- x) (/ (- (* y z) x) (- (* t z) x))) (- (+ x 1.0)))
27.0ms
(/ (- (* y z) x) (- (* t z) x))

series308.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- (- x) (/ (- (* y z) x) (- (* t z) x)))
24.0ms
(- (* t z) x)
132.0ms
(/ (- (- x) (/ (- (* y z) x) (- (* t z) x))) (- (+ x 1.0)))
62.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify69.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06342717
124452644
250022614

prune397.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
0.3b
(/ 1 (- (* t z) x))
0.3b
(/ 1 (- (* y z) x))
8.7b
(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

rewrite623.0ms

Algorithm
rewrite-expression-head
Rules
547×times-frac
274×*-un-lft-identity
254×add-sqr-sqrt add-cube-cbrt
71×associate-/r/
54×add-exp-log
37×div-exp
36×div-inv
34×flip3-- flip--
25×associate-/r* associate-/l*
22×add-cbrt-cube
11×cbrt-undiv
10×rec-exp 1-exp distribute-lft-out
6×pow1
4×frac-2neg clear-num add-log-exp
3×associate-/l/
2×pow-flip flip3-+ flip-+ inv-pow
Counts
4 → 393
Calls
4 calls:
518.0ms
(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
16.0ms
(/ 1 (- (* t z) x))
17.0ms
(/ 1 (- (* y z) x))
47.0ms
(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

series305.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
28.0ms
(/ 1 (- (* t z) x))
25.0ms
(/ 1 (- (* y z) x))
95.0ms
(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

simplify89.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
016985909
150015384

prune761.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.2b

regimes175.0ms

Accuracy

59.1% (2.7b remaining)

Error of 3.6b against oracle of 0.9b and baseline of 7.4b

bsearch72.0ms

Steps
ItersRangePoint
4
2.557420317019269e+120
4.1833048190276205e+120
3.409532601960749e+120
10
-2.7745928340145443e+46
-5.19450609935245e+27
-2.705275441028537e+46

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03216
13316
23316

end0.0ms

sample586.0ms

Algorithm
intervals
Results
295.0ms8342×body80valid