Details

Time bar (total: 4.7s)

sample37.0ms

Algorithm
intervals
Results
26.0ms266×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0238
1358
2608
31038
41838
54168
611948
750018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* y z) x)
0.3b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
5.8b
(/ (- (* y z) x) (- (* t z) x))

rewrite73.0ms

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)
57.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0ms
(/ (- (* y z) x) (- (* t z) x))

series196.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- (* y z) x)
117.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
58.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify47.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0383891
11378830
25001829

prune232.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.3b
(/ 1 (- (* t z) x))
0.3b
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
5.9b
(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
36×add-sqr-sqrt
32×times-frac
29×add-cube-cbrt
19×add-exp-log
15×associate-*r*
13×add-cbrt-cube
7×pow1 associate-/r*
6×associate-/r/ associate-/l* add-log-exp
5×flip3-- div-exp flip--
4×prod-exp distribute-lft-out
3×cbrt-undiv associate-*l* div-inv unswap-sqr
2×frac-times rec-exp frac-2neg flip3-+ 1-exp associate-*l/ clear-num cbrt-unprod flip-+ associate-/l/
1×sub-neg pow-flip diff-log associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 122
Calls
4 calls:
3.0ms
(- (* y z) x)
6.0ms
(/ 1 (- (* t z) x))
14.0ms
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
23.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

series208.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- (* y z) x)
22.0ms
(/ 1 (- (* t z) x))
115.0ms
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
51.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify59.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04591138
120731017
25002986

prune306.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

3.6b
(cbrt (* (- (* y z) x) (/ 1 (- (* t z) x))))
5.9b
(* (- (* y z) x) (/ 1 (- (* t z) x)))
5.9b
(* (- (* y z) x) (/ 1 (- (* t z) x)))
5.9b
(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×associate-*r*
33×times-frac
31×add-exp-log *-un-lft-identity
28×add-cube-cbrt
19×add-cbrt-cube
12×prod-exp
11×flip3-- flip--
10×pow1
9×associate-*l* unswap-sqr
8×frac-times associate-*l/
6×cbrt-div div-exp associate-/r/ cbrt-unprod
4×associate-*r/ un-div-inv add-log-exp
3×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative div-inv
1×cbrt-prod pow1/3
Counts
4 → 141
Calls
4 calls:
8.0ms
(cbrt (* (- (* y z) x) (/ 1 (- (* t z) x))))
23.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))
24.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))
23.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(cbrt (* (- (* y z) x) (/ 1 (- (* t z) x))))
53.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))
59.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))
54.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03221264
113431105
250011066

prune515.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

4.9b
(cbrt (- (* y z) x))
4.9b
(cbrt (- (* y z) x))
4.9b
(cbrt (- (* y z) x))
5.9b
(* (* (* (cbrt (- (* y z) x)) (cbrt (- (* y z) x))) (cbrt (- (* y z) x))) (/ 1 (- (* t z) x)))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
82×frac-times
58×flip3-- flip--
54×associate-*l/
43×add-exp-log
24×prod-exp
17×associate-*r/ add-cbrt-cube
15×associate-*r*
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×pow1
12×cbrt-unprod
9×cbrt-prod times-frac
6×div-exp pow-prod-down
4×add-log-exp
3×cbrt-undiv rec-exp pow1/3 1-exp
2×associate-/r/
1×associate-*l* un-div-inv *-commutative div-inv
Counts
4 → 138
Calls
4 calls:
2.0ms
(cbrt (- (* y z) x))
2.0ms
(cbrt (- (* y z) x))
2.0ms
(cbrt (- (* y z) x))
148.0ms
(* (* (* (cbrt (- (* y z) x)) (cbrt (- (* y z) x))) (cbrt (- (* y z) x))) (/ 1 (- (* t z) x)))

series416.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (- (* y z) x))
117.0ms
(cbrt (- (* y z) x))
118.0ms
(cbrt (- (* y z) x))
59.0ms
(* (* (* (cbrt (- (* y z) x)) (cbrt (- (* y z) x))) (cbrt (- (* y z) x))) (/ 1 (- (* t z) x)))

simplify78.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
07602535
128032112
250021974

prune388.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

regimes173.0ms

Accuracy

56.7% (2.7b remaining)

Error of 3.6b against oracle of 0.9b and baseline of 7.1b

bsearch106.0ms

Steps
ItersRangePoint
9
1.2069119794960953e+146
1.1927814869807374e+151
9.355899213283623e+148
5
-4.778064751034553e+84
-1.3458801729278124e+84
-3.7159402059423155e+84

simplify7.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03930
13930

end0.0ms

sample1.1s

Algorithm
intervals
Results
876.0ms8331×body80valid