Details

Time bar (total: 5.1s)

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: 5.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
5.5b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
75×*-un-lft-identity
57×times-frac
49×add-cube-cbrt
39×prod-diff
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube div-inv associate-/l* add-log-exp
3×fma-neg
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+
Counts
2 → 111
Calls
2 calls:
13.0ms
(- 1.0 (/ y z))
36.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series68.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(- 1.0 (/ y z))
52.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05041403
116141048
25001967

prune309.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.8b
(/ 1 (- 1.0 (/ y z)))
4.6b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
79×*-un-lft-identity
73×times-frac
60×add-cube-cbrt
39×prod-diff
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×div-inv add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×expm1-log1p-u flip3-- fma-neg flip-- log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+
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 → 160
Calls
3 calls:
13.0ms
(- 1.0 (/ y z))
23.0ms
(/ 1 (- 1.0 (/ y z)))
65.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series112.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(- 1.0 (/ y z))
42.0ms
(/ 1 (- 1.0 (/ y z)))
54.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify79.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06461655
126011241
250011110

prune407.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 1 (- 1.0 (/ y z)))
4.6b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
4.6b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
4.6b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
134×add-sqr-sqrt
91×times-frac
83×*-un-lft-identity
72×associate-*r*
48×add-cube-cbrt
35×add-exp-log
26×difference-of-squares
21×add-cbrt-cube
13×distribute-lft-out--
12×associate-*l* prod-exp
11×pow1
9×unswap-sqr
8×div-exp associate-/r/
6×frac-times flip3-+ associate-*l/ associate-/r* cbrt-unprod flip-+
4×cbrt-undiv expm1-log1p-u rec-exp flip3-- 1-exp flip-- log1p-expm1-u div-inv add-log-exp
3×associate-*r/ pow-prod-down un-div-inv *-commutative distribute-lft-out associate-/l*
1×pow-flip frac-2neg clear-num inv-pow
Counts
4 → 209
Calls
4 calls:
21.0ms
(/ 1 (- 1.0 (/ y z)))
62.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
62.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
64.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series201.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ 1 (- 1.0 (/ y z)))
54.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
49.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
54.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify62.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03511446
116311267
250011169

prune1.4s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ y z) (/ y z))
0.3b
(/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z))))
4.6b
(* (+ x y) (* (/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z))))
15.5b
(* (/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
66×times-frac
56×*-un-lft-identity
51×add-cube-cbrt
44×add-exp-log
35×associate-*l*
32×add-cbrt-cube
19×pow1 frac-times
18×associate-*r*
17×prod-exp
14×flip3-+ associate-*r/ flip-+
13×swap-sqr
11×cbrt-unprod
10×div-exp
7×cbrt-undiv associate-*l/ difference-of-squares unswap-sqr
6×div-inv
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×expm1-log1p-u associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×rec-exp 1-exp *-commutative associate-/l*
2×flip3-- flip-- distribute-lft-out
1×pow2 pow-flip frac-2neg pow-plus clear-num pow-sqr pow-prod-up inv-pow
Counts
4 → 203
Calls
4 calls:
22.0ms
(* (/ y z) (/ y z))
15.0ms
(/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z))))
85.0ms
(* (+ x y) (* (/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z))))
72.0ms
(* (/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (/ y z) (/ y z))
55.0ms
(/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z))))
97.0ms
(* (+ x y) (* (/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z))))
58.0ms
(* (/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
010422012
150021772

prune937.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 4.3b

regimes194.0ms

Accuracy

0% (1.8b remaining)

Error of 7.5b against oracle of 5.7b and baseline of 7.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample385.0ms

Algorithm
intervals
Results
221.0ms8000×body80valid