Details

Time bar (total: 3.4s)

sample21.0ms

Algorithm
intervals
Results
9.0ms284×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.0b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
10.6b
(/ (- x (* y z)) (- t (* a z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
6×fma-neg prod-diff
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 74
Calls
3 calls:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- t (* a z))
30.0ms
(- x (* y z))
62.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify123.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0296491
1972444
24276439
35001435

prune247.0ms

Filtered
83 candidates to 66 candidates (79.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New74983
Fresh000
Picked101
Done000
Total75984

Merged error: 10.7b

Counts
84 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- t (* a z))
3.7b
(/ x (- t (* a z)))
11.0b
(/ (* y z) (- t (* a z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×fma-neg prod-diff associate-/r*
4×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l*
3×cbrt-undiv div-exp
2×sub-neg frac-2neg diff-log clear-num div-inv
1×prod-exp cbrt-unprod
Counts
4 → 96
Calls
4 calls:
3.0ms
(- t (* a z))
3.0ms
(- t (* a z))
5.0ms
(/ x (- t (* a z)))
6.0ms
(/ (* y z) (- t (* a z)))

series154.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- t (* a z))
35.0ms
(- t (* a z))
37.0ms
(/ x (- t (* a z)))
49.0ms
(/ (* y z) (- t (* a z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0286546
11097479
25002477

prune312.0ms

Filtered
108 candidates to 84 candidates (77.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1044108
Fresh538
Picked101
Done000
Total1107117

Merged error: 6.2b

Counts
117 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
2.8b
(/ y (/ (- t (* a z)) z))
3.7b
(/ x (- t (* a z)))
7.6b
(/ (- t (* a z)) z)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
93×times-frac
64×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×associate-/r*
13×add-exp-log add-cbrt-cube
9×associate-/l*
7×div-inv
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×flip3-- frac-2neg fma-neg prod-diff clear-num associate-/r/ flip--
2×associate-/l/
1×sub-neg diff-log div-sub
Counts
4 → 155
Calls
4 calls:
3.0ms
(- t (* a z))
7.0ms
(/ y (/ (- t (* a z)) z))
5.0ms
(/ x (- t (* a z)))
6.0ms
(/ (- t (* a z)) z)

series160.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- t (* a z))
48.0ms
(/ y (/ (- t (* a z)) z))
42.0ms
(/ x (- t (* a z)))
35.0ms
(/ (- t (* a z)) z)

simplify66.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05271170
121251096
250021090

prune489.0ms

Filtered
167 candidates to 135 candidates (80.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1643167
Fresh336
Picked101
Done000
Total1686174

Merged error: 1.7b

Counts
174 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ t z) a)
2.8b
(/ y (- (/ t z) a))
3.7b
(/ x (- t (* a z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt
76×*-un-lft-identity
68×times-frac
66×add-cube-cbrt
42×prod-diff
16×fma-neg
10×difference-of-squares
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
6×div-inv associate-/l*
5×distribute-lft-out--
4×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num
Counts
4 → 163
Calls
4 calls:
3.0ms
(- t (* a z))
10.0ms
(- (/ t z) a)
9.0ms
(/ y (- (/ t z) a))
5.0ms
(/ x (- t (* a z)))

series129.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- t (* a z))
21.0ms
(- (/ t z) a)
33.0ms
(/ y (- (/ t z) a))
42.0ms
(/ x (- t (* a z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04911271
11483955
25001954

prune434.0ms

Filtered
175 candidates to 116 candidates (66.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1696175
Fresh235
Picked101
Done000
Total1729181

Merged error: 1.7b

Counts
181 → 9

regimes198.0ms

Accuracy

36.2% (1.1b remaining)

Error of 2.5b against oracle of 1.4b and baseline of 3.1b

bsearch95.0ms

Steps
ItersRangePoint
10
5.687206719409336e-177
2.7105149094062125e-164
1.0627976848142006e-164
9
-3.2895035040335747e-226
-9.710570790803096e-234
-2.8616407758964315e-230

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03214
13214

end0.0ms

sample530.0ms

Algorithm
intervals
Results
276.0ms8747×body80valid