Details

Time bar (total: 4.6s)

sample31.0ms

Algorithm
intervals
Results
20.0ms261×body80valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0238
1358
2608
31038
41838
54168
611948
750018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* y z) x)
0.5b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.3b
(/ (- (* y z) x) (- (* t z) x))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
25×times-frac
21×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
7×add-exp-log associate-/r* add-cbrt-cube associate-/l*
5×add-log-exp
4×associate-/r/ associate-/l/
3×pow1 flip3-- div-sub flip--
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×associate-+r- sub-neg diff-log
Counts
3 → 85
Calls
3 calls:
3.0ms
(- (* y z) x)
53.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0ms
(/ (- (* y z) x) (- (* t z) x))

series194.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- (* y z) x)
115.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
53.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify45.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0383891
11378830
25001829

prune244.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.4b
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.5b
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
7.1b
(/ (- (* t z) x) (- (* y z) x))

rewrite120.0ms

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:
3.0ms
(- (* y z) x)
12.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
88.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
11.0ms
(/ (- (* t z) x) (- (* y z) x))

series308.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (* y z) x)
81.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
145.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
61.0ms
(/ (- (* t z) x) (- (* y z) x))

simplify73.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06232024
128651860
250011781

prune348.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* y z) x)
0.5b
(/ (- (- x) (/ (- (* y z) x) (- (* t z) x))) (- (+ x 1.0)))
7.3b
(/ (- (* y z) x) (- (* t z) x))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
132×*-un-lft-identity
113×add-sqr-sqrt
106×times-frac
48×add-cube-cbrt
45×distribute-rgt-neg-in
32×distribute-lft-neg-in
26×distribute-lft-out-- difference-of-squares
16×distribute-lft-out
15×associate-/r*
10×associate-/l*
8×neg-mul-1
7×add-exp-log add-cbrt-cube
5×add-log-exp
4×flip3-- associate-/r/ flip-- associate-/l/
3×pow1
2×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv distribute-neg-frac
1×sub-neg flip3-+ diff-log flip-+
Counts
3 → 164
Calls
3 calls:
3.0ms
(- (* y z) x)
74.0ms
(/ (- (- x) (/ (- (* y z) x) (- (* t z) x))) (- (+ x 1.0)))
10.0ms
(/ (- (* y z) x) (- (* t z) x))

series231.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- (* y z) x)
129.0ms
(/ (- (- x) (/ (- (* y z) x) (- (* t z) x))) (- (+ x 1.0)))
77.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify64.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
06002506
121802439
250012409

prune389.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))
0.5b
(/ (+ x (/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))) (+ x 1.0))
1.5b
(/ x (- (* y z) x))
10.2b
(/ (* t z) (- (* y z) x))

rewrite327.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
63×times-frac
59×add-sqr-sqrt
39×add-cube-cbrt
26×associate-/r/
19×associate-/r*
17×add-exp-log div-inv
16×distribute-lft-out
15×add-cbrt-cube
12×distribute-rgt-out-- associate-/l*
11×flip3-- flip--
8×difference-of-squares
6×div-exp
5×pow1 cbrt-undiv
4×frac-2neg clear-num distribute-lft-out-- add-log-exp
2×flip3-+ flip-+ associate-/l/
1×rec-exp pow-flip 1-exp prod-exp frac-sub cbrt-unprod inv-pow sub-div
Counts
4 → 156
Calls
4 calls:
52.0ms
(/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))
257.0ms
(/ (+ x (/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))) (+ x 1.0))
5.0ms
(/ x (- (* y z) x))
6.0ms
(/ (* t z) (- (* y z) x))

series335.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))
158.0ms
(/ (+ x (/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))) (+ x 1.0))
57.0ms
(/ x (- (* y z) x))
33.0ms
(/ (* t z) (- (* y z) x))

simplify74.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05842004
125661870
250021828

prune361.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.0b

regimes124.0ms

Accuracy

58.1% (2.7b remaining)

Error of 3.6b against oracle of 0.9b and baseline of 7.3b

bsearch116.0ms

Steps
ItersRangePoint
9
1.9859741489859315e+38
5.919098703954595e+44
5.844211289000958e+44
8
-1.674404960304724e+99
-1.1464063429962702e+96
-1.2682706600724384e+97

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03314
13414
23414

end0.0ms

sample899.0ms

Algorithm
intervals
Results
674.0ms8351×body80valid