Details

Time bar (total: 2.4s)

sample27.0ms

Algorithm
intervals
Results
9.0ms278×body80valid

simplify189.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (187.0ms)

IterNodesCost
0316311
1316311

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 10.0b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- associate-/r* flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 44
Calls
2 calls:
2.0ms
(- t (* a z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series27.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- t (* a z))
20.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05108650

prune83.0ms

Filtered
41 candidates to 50 candidates (-22.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New44650
Fresh000
Picked101
Done000
Total45651

Merged error: 1.7b

Counts
51 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* z a))
0.0b
(- (/ t z) a)
2.4b
(/ x (- t (* z a)))
4.5b
(/ y (- (/ t z) a))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
33×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
10×difference-of-squares
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l*
5×distribute-lft-out--
4×pow1 flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 97
Calls
4 calls:
3.0ms
(- t (* z a))
7.0ms
(- (/ t z) a)
4.0ms
(/ x (- t (* z a)))
8.0ms
(/ y (- (/ t z) a))

series34.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- t (* z a))
5.0ms
(- (/ t z) a)
12.0ms
(/ x (- t (* z a)))
10.0ms
(/ y (- (/ t z) a))

simplify52.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051691120

prune118.0ms

Filtered
81 candidates to 109 candidates (-34.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1072109
Fresh145
Picked011
Done000
Total1087115

Merged error: 1.7b

Counts
115 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) a)
0.4b
(/ 1 (/ (- (/ t z) a) y))
2.4b
(/ x (- t (* z a)))
4.3b
(/ (- (/ t z) a) y)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
182×times-frac
171×add-sqr-sqrt
120×*-un-lft-identity
86×add-cube-cbrt
34×difference-of-squares
28×associate-/r*
19×add-exp-log
17×distribute-lft-out--
13×add-cbrt-cube
12×associate-/l*
9×div-exp
7×div-inv
6×add-log-exp
5×pow1 cbrt-undiv
3×flip3-- frac-2neg clear-num associate-/r/ flip--
2×rec-exp 1-exp associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
4 → 198
Calls
4 calls:
7.0ms
(- (/ t z) a)
11.0ms
(/ 1 (/ (- (/ t z) a) y))
4.0ms
(/ x (- t (* z a)))
9.0ms
(/ (- (/ t z) a) y)

series53.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (/ t z) a)
24.0ms
(/ 1 (/ (- (/ t z) a) y))
14.0ms
(/ x (- t (* z a)))
10.0ms
(/ (- (/ t z) a) y)

simplify64.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049622750
149622750

prune173.0ms

Filtered
135 candidates to 210 candidates (-55.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2100210
Fresh055
Picked011
Done011
Total2107217

Merged error: 1.7b

Counts
217 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* z a))
0.1b
(/ 1 (- t (* z a)))
9.8b
(* (- x (* y z)) (/ 1 (- t (* z a))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×flip3-- flip-- add-log-exp
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 87
Calls
3 calls:
3.0ms
(- t (* z a))
6.0ms
(/ 1 (- t (* z a)))
10.0ms
(* (- x (* y z)) (/ 1 (- t (* z a))))

series38.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(- t (* z a))
11.0ms
(/ 1 (- t (* z a)))
20.0ms
(* (- x (* y z)) (/ 1 (- t (* z a))))

simplify44.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050391048

prune80.0ms

Filtered
63 candidates to 96 candidates (-52.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New95196
Fresh134
Picked011
Done022
Total967103

Merged error: 1.7b

Counts
103 → 7

regimes398.0ms

Accuracy

88.1% (0.2b remaining)

Error of 1.7b against oracle of 1.5b and baseline of 3.0b

bsearch39.0ms

Steps
ItersRangePoint
9
1.4758506292475357e-20
1.9402596451271832e-13
1.5071083749195152e-20
7
-27619.89564791414
-167.39586279514575
-171.08486502934178

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03037
13037

end0.0ms

sample741.0ms

Algorithm
intervals
Results
304.0ms8658×body80valid

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