Details

Time bar (total: 3.9s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
7.7b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 65
Calls
2 calls:
6.0ms
(- 1.0 (/ y z))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series70.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(- 1.0 (/ y z))
54.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0220502
1647479
21852479
35001479

prune140.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.9b
(/ 1 (- 1.0 (/ y z)))
6.6b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
25×add-cube-cbrt
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×flip3-- flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
3 → 112
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
8.0ms
(/ 1 (- 1.0 (/ y z)))
17.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series113.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- 1.0 (/ y z))
43.0ms
(/ 1 (- 1.0 (/ y z)))
52.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0360744
11650663
25002613

prune208.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.7b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
200×add-sqr-sqrt
196×*-un-lft-identity
90×add-cube-cbrt
44×difference-of-squares
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 210
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
15.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
11.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series178.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- 1.0 (/ y z))
120.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
40.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify68.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06122121
127201935
250011771

prune294.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 (sqrt (- 1.0 (/ y z)))) (sqrt (- 1.0 (/ y z))))
3.1b
(* (+ x y) (/ (/ 1 (sqrt (- 1.0 (/ y z)))) (sqrt (- 1.0 (/ y z)))))
3.8b
(sqrt (- 1.0 (/ y z)))
3.8b
(sqrt (- 1.0 (/ y z)))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
1251×times-frac
1115×add-sqr-sqrt
765×sqrt-prod
704×*-un-lft-identity
446×add-cube-cbrt
303×associate-*r*
252×difference-of-squares
126×distribute-lft-out--
46×sqrt-div
42×associate-/r/
33×associate-/l*
28×add-exp-log
23×flip3-- flip--
22×div-inv
18×add-cbrt-cube
15×pow1
12×div-exp unswap-sqr
9×associate-/r*
6×cbrt-undiv sqrt-pow1 pow1/2 pow-div
5×pow-flip prod-exp
4×associate-*l* add-log-exp
3×cbrt-unprod
2×frac-times rem-sqrt-square rec-exp flip3-+ 1-exp associate-*l/ flip-+
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/ distribute-lft-out inv-pow
Counts
4 → 741
Calls
4 calls:
26.0ms
(/ (/ 1 (sqrt (- 1.0 (/ y z)))) (sqrt (- 1.0 (/ y z))))
93.0ms
(* (+ x y) (/ (/ 1 (sqrt (- 1.0 (/ y z)))) (sqrt (- 1.0 (/ y z)))))
9.0ms
(sqrt (- 1.0 (/ y z)))
6.0ms
(sqrt (- 1.0 (/ y z)))

series279.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (/ 1 (sqrt (- 1.0 (/ y z)))) (sqrt (- 1.0 (/ y z))))
54.0ms
(* (+ x y) (/ (/ 1 (sqrt (- 1.0 (/ y z)))) (sqrt (- 1.0 (/ y z)))))
85.0ms
(sqrt (- 1.0 (/ y z)))
92.0ms
(sqrt (- 1.0 (/ y z)))

simplify127.0ms

Algorithm
egg-herbie
Counts
753 → 753
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0179711170
150029974

prune1.4s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 5.5b

regimes146.0ms

Accuracy

69.5% (0.6b remaining)

Error of 6.2b against oracle of 5.6b and baseline of 7.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03126
13126

end0.0ms

sample387.0ms

Algorithm
intervals
Results
223.0ms8000×body80valid