Details

Time bar (total: 3.9s)

sample21.0ms

Algorithm
intervals
Results
10.0ms266×body80valid

simplify44.0ms

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: 7.0b

localize11.0ms

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)
10.3b
(/ (- (* y z) x) (- (* t z) x))

rewrite95.0ms

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:
58.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
20.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms
(- (* t z) x)
12.0ms
(/ (- (* y z) x) (- (* t z) x))

series274.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
79.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
23.0ms
(- (* t z) x)
56.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify42.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03971011
11388948
25001947

prune252.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ (- (* t z) x) (- (* y z) x))))
0.0b
(- (* t z) x)
0.4b
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
10.4b
(/ (- (* t z) x) (- (* y z) x))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
59×*-un-lft-identity
56×add-sqr-sqrt add-cube-cbrt
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×div-exp add-log-exp
7×flip3-- flip-- div-inv
6×associate-/l*
5×pow1
4×cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ distribute-lft-out
1×+-commutative sub-neg pow-flip flip3-+ diff-log div-sub sum-log flip-+ inv-pow
Counts
4 → 141
Calls
4 calls:
31.0ms
(+ x (/ 1 (/ (- (* t z) x) (- (* y z) x))))
3.0ms
(- (* t z) x)
13.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
11.0ms
(/ (- (* t z) x) (- (* y z) x))

series269.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(+ x (/ 1 (/ (- (* t z) x) (- (* y z) x))))
22.0ms
(- (* t z) x)
80.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
58.0ms
(/ (- (* t z) x) (- (* y z) x))

simplify54.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05261523
123291320
250011304

prune319.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.0b
(- (* t z) x)
0.0b
(+ (/ (- (* y z) x) (- (* t z) x)) x)
10.3b
(/ (- (* y z) x) (- (* t z) x))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt
10×add-log-exp
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 flip3-- flip--
3×associate-/r* associate-/l*
2×sub-neg diff-log div-sub associate-/r/ associate-/l/
1×cbrt-undiv +-commutative associate-+l- frac-2neg flip3-+ div-exp clear-num sum-log flip-+ div-inv distribute-lft-out
Counts
4 → 69
Calls
4 calls:
3.0ms
(- (* y z) x)
3.0ms
(- (* t z) x)
38.0ms
(+ (/ (- (* y z) x) (- (* t z) x)) x)
12.0ms
(/ (- (* y z) x) (- (* t z) x))

series170.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (* y z) x)
25.0ms
(- (* t z) x)
67.0ms
(+ (/ (- (* y z) x) (- (* t z) x)) x)
56.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify86.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0286535
1927501
23528495
35001495

prune208.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ 1 (/ (- (* y z) x) (- (* t z) x)))))
0.2b
(/ 1 (/ (- (* y z) x) (- (* t z) x)))
0.4b
(/ 1 (/ 1 (/ (- (* y z) x) (- (* t z) x))))
10.3b
(/ (- (* y z) x) (- (* t z) x))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
528×times-frac
258×*-un-lft-identity
255×add-sqr-sqrt add-cube-cbrt
68×associate-/r*
60×add-exp-log
43×div-exp
40×associate-/r/
24×div-inv
20×add-cbrt-cube
18×flip3-- flip--
15×rec-exp 1-exp
10×cbrt-undiv
9×associate-/l*
7×pow1
6×add-log-exp
5×pow-flip
3×frac-2neg clear-num inv-pow
2×associate-/l/ distribute-lft-out
1×+-commutative flip3-+ div-sub sum-log flip-+ remove-double-div
Counts
4 → 372
Calls
4 calls:
68.0ms
(+ x (/ 1 (/ 1 (/ (- (* y z) x) (- (* t z) x)))))
13.0ms
(/ 1 (/ (- (* y z) x) (- (* t z) x)))
26.0ms
(/ 1 (/ 1 (/ (- (* y z) x) (- (* t z) x))))
11.0ms
(/ (- (* y z) x) (- (* t z) x))

series269.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(+ x (/ 1 (/ 1 (/ (- (* y z) x) (- (* t z) x)))))
73.0ms
(/ 1 (/ (- (* y z) x) (- (* t z) x)))
56.0ms
(/ 1 (/ 1 (/ (- (* y z) x) (- (* t z) x))))
59.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify85.0ms

Algorithm
egg-herbie
Counts
384 → 384
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012145050
150013675

prune546.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.3b

regimes197.0ms

Accuracy

59.9% (2.6b remaining)

Error of 3.4b against oracle of 0.9b and baseline of 7.3b

bsearch97.0ms

Steps
ItersRangePoint
10
1.241967634608938e+113
1.0570760452043291e+123
1.1377501050991803e+117
8
-6.6886088143369254e+38
-1.8545934194377622e+36
-6.631648972512216e+38

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03513
13713
23713

end0.0ms

sample529.0ms

Algorithm
intervals
Results
320.0ms8333×body80valid