Details

Time bar (total: 2.3s)

sample19.0ms

Algorithm
intervals
Results
9.0ms313×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1223
2443
3703
41003
51173
64203
729763
850013

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
9.8b
(/ (* x (- y z)) y)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
12.0ms
(* x (- y z))
11.0ms
(/ (* x (- y z)) y)

series96.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
57.0ms
(/ (* x (- y z)) y)

simplify59.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0299483
11416328
25001328

prune129.0ms

Filtered
77 candidates to 41 candidates (53.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.8b
(/ x (/ y (- y z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
9.0ms
(/ y (- y z))
11.0ms
(/ x (/ y (- y z)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ y (- y z))
54.0ms
(/ x (/ y (- y z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
04791057
122391019
250021016

prune353.0ms

Filtered
149 candidates to 112 candidates (75.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

3.2b
(* x (/ (- y z) y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*r*
17×*-un-lft-identity
16×times-frac
11×add-cube-cbrt
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l* distribute-lft-out-- difference-of-squares
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
17.0ms
(* x (/ (- y z) y))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* x (/ (- y z) y))

simplify116.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0198208
1906187
24251187
35001187

prune97.0ms

Filtered
43 candidates to 30 candidates (69.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- y z))
0.2b
(/ 1 (/ y (* x (- y z))))
9.9b
(/ y (* x (- y z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
41×add-sqr-sqrt
39×*-un-lft-identity
37×add-cube-cbrt
31×add-exp-log
19×add-cbrt-cube
18×prod-diff
14×div-exp
12×associate-*r/
11×distribute-rgt-in distribute-lft-in associate-/r/
10×associate-/r*
7×cbrt-undiv
6×pow1 flip3-- flip-- div-inv associate-/l*
5×associate-*r* prod-exp
3×expm1-log1p-u rec-exp 1-exp associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg frac-2neg clear-num
1×pow-flip pow-prod-down *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 137
Calls
3 calls:
12.0ms
(* x (- y z))
11.0ms
(/ 1 (/ y (* x (- y z))))
5.0ms
(/ y (* x (- y z)))

series152.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* x (- y z))
52.0ms
(/ 1 (/ y (* x (- y z))))
62.0ms
(/ y (* x (- y z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0463962
12252745
25001688

prune213.0ms

Filtered
146 candidates to 72 candidates (49.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes82.0ms

Accuracy

10.1% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 3.1b

bsearch81.0ms

Steps
ItersRangePoint
10
1.701896342459868e-91
3.5471976424219325e-77
3.778007695720325e-84
9
-2.953444608221284e-193
-7.443221916646896e-203
-2.976094487830468e-197

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0227
1227

end0.0ms

sample399.0ms

Algorithm
intervals
Results
208.0ms9566×body80valid