Details

Time bar (total: 2.9s)

sample31.0ms

Algorithm
intervals
Results
11.0ms278×body80valid

simplify172.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (170.0ms)

IterNodesCost
0316311
1316311

prune7.0ms

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: 10.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
10.4b
(/ (- x (* y z)) (- t (* a z)))

rewrite11.0ms

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:
3.0ms
(- t (* a z))
7.0ms
(/ (- x (* y z)) (- t (* a z)))

series34.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(- t (* a z))
26.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05108650

prune86.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New44650
Fresh000
Picked011
Done000
Total44751

Merged error: 2.0b

Counts
51 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* z a))
0.0b
(- (/ x (- t (* z a))) (/ y (- (/ t z) a)))
3.2b
(/ y (- (/ t z) a))
4.1b
(/ x (- t (* z a)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
42×*-un-lft-identity
39×times-frac
23×add-cube-cbrt
12×difference-of-squares
9×associate-/r*
8×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp
6×associate-/l*
4×pow1 flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
1×frac-sub
Counts
4 → 102
Calls
4 calls:
3.0ms
(- t (* z a))
30.0ms
(- (/ x (- t (* z a))) (/ y (- (/ t z) a)))
9.0ms
(/ y (- (/ t z) a))
5.0ms
(/ x (- t (* z a)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- t (* z a))
30.0ms
(- (/ x (- t (* z a))) (/ y (- (/ t z) a)))
12.0ms
(/ y (- (/ t z) a))
13.0ms
(/ x (- t (* z a)))

simplify49.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050001458

prune145.0ms

Filtered
86 candidates to 114 candidates (-32.6%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1104114
Fresh055
Picked011
Done011
Total11011121

Merged error: 2.0b

Counts
121 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* z a))) (* y (/ 1 (- (/ t z) a))))
0.7b
(/ 1 (- (/ t z) a))
2.6b
(* y (/ 1 (- (/ t z) a)))
4.1b
(/ x (- t (* z a)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
54×times-frac
49×*-un-lft-identity
34×add-cube-cbrt
24×associate-*r*
19×add-exp-log
14×difference-of-squares
13×add-cbrt-cube
9×associate-/r*
7×pow1 distribute-lft-out--
6×associate-/r/ associate-/l* add-log-exp
5×div-exp
4×flip3-- prod-exp flip--
3×cbrt-undiv associate-*l* div-inv unswap-sqr
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num un-div-inv frac-sub cbrt-unprod
1×sub-neg pow-flip diff-log pow-prod-down *-commutative inv-pow
Counts
4 → 135
Calls
4 calls:
9.0ms
(- (/ x (- t (* z a))) (* y (/ 1 (- (/ t z) a))))
9.0ms
(/ 1 (- (/ t z) a))
15.0ms
(* y (/ 1 (- (/ t z) a)))
5.0ms
(/ x (- t (* z a)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (/ x (- t (* z a))) (* y (/ 1 (- (/ t z) a))))
12.0ms
(/ 1 (- (/ t z) a))
12.0ms
(* y (/ 1 (- (/ t z) a)))
16.0ms
(/ x (- t (* z a)))

simplify52.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049631606
149631606

prune160.0ms

Filtered
94 candidates to 147 candidates (-56.4%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1470147
Fresh088
Picked011
Done022
Total14711158

Merged error: 2.0b

Counts
158 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
1.0b
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (/ t z) a)))
2.4b
(/ (cbrt y) (- (/ t z) a))
4.1b
(/ x (- t (* z a)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
138×add-sqr-sqrt
96×times-frac
86×*-un-lft-identity
60×add-cube-cbrt
56×cbrt-prod
48×associate-*r*
26×difference-of-squares
22×add-exp-log
16×pow1
13×add-cbrt-cube distribute-lft-out--
9×associate-/r* associate-/l*
7×associate-*l* prod-exp cbrt-unprod unswap-sqr
6×pow1/3 swap-sqr associate-/r/
5×pow-prod-down
4×cbrt-undiv div-exp add-log-exp
3×flip3-- flip-- div-inv
2×frac-2neg clear-num pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus associate-*r/
Counts
4 → 196
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
22.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (/ t z) a)))
10.0ms
(/ (cbrt y) (- (/ t z) a))
5.0ms
(/ x (- t (* z a)))

series93.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt y) (cbrt y))
15.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (/ t z) a)))
33.0ms
(/ (cbrt y) (- (/ t z) a))
16.0ms
(/ x (- t (* z a)))

simplify71.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049982196
149982196

prune176.0ms

Filtered
138 candidates to 208 candidates (-50.7%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New2071208
Fresh167
Picked101
Done033
Total20910219

Merged error: 2.0b

Counts
219 → 10

regimes562.0ms

Accuracy

81.7% (0.3b remaining)

Error of 1.9b against oracle of 1.6b and baseline of 3.1b

bsearch49.0ms

Steps
ItersRangePoint
8
602010.8647626698
555912312.1893992
936119.8966691601
9
-2.065122462892346e-125
-8.462279673133754e-132
-5.124176822287798e-131

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02635
12635

end0.0ms

sample880.0ms

Algorithm
intervals
Results
358.0ms8751×body80valid

Profiling

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