Details

Time bar (total: 8.5s)

analyze2.2s

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14

sample97.0ms

Algorithm
intervals
Results
30.0ms382×body80invalid
25.0ms256×body80valid

simplify306.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (305.0ms)

IterNodesCost
0495529
1495529

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: 12.7b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* c t) (* i y))
3.9b
(* x (- (* y z) (* t a)))
6.1b
(* j (- (* c t) (* i y)))
6.6b
(* b (- (* c z) (* i a)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
7×sub-neg
6×associate-*r/ add-log-exp
4×flip3-- flip--
3×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log
Counts
4 → 77
Calls
4 calls:
3.0ms
(- (* c t) (* i y))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* j (- (* c t) (* i y)))
9.0ms
(* b (- (* c z) (* i a)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* c t) (* i y))
18.0ms
(* x (- (* y z) (* t a)))
18.0ms
(* j (- (* c t) (* i y)))
18.0ms
(* b (- (* c z) (* i a)))

simplify47.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04926937
14926937

prune222.0ms

Filtered
65 candidates to 89 candidates (-36.9%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New721789
Fresh000
Picked101
Done000
Total731790

Merged error: 4.4b

Counts
90 → 17

localize24.0ms

Local error

Found 4 expressions with local error:

3.9b
(* x (- (* y z) (* t a)))
5.1b
(* i (* j (neg y)))
5.7b
(* c (* j t))
6.6b
(* b (- (* c z) (* i a)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*l*
10×add-cube-cbrt *-un-lft-identity
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×sub-neg associate-*r/ *-commutative add-log-exp
2×distribute-rgt-in flip3-- distribute-lft-in distribute-rgt-neg-out flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
6.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* i (* j (neg y)))
5.0ms
(* c (* j t))
6.0ms
(* b (- (* c z) (* i a)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* i (* j (neg y)))
6.0ms
(* c (* j t))
18.0ms
(* b (- (* c z) (* i a)))

simplify33.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05175786

prune215.0ms

Filtered
62 candidates to 93 candidates (-50.0%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New86793
Fresh41216
Picked101
Done000
Total9119110

Merged error: 4.1b

Counts
110 → 19

localize25.0ms

Local error

Found 4 expressions with local error:

3.9b
(* x (- (* y z) (* t a)))
5.1b
(* i (* j (neg y)))
6.0b
(* (* c j) t)
6.6b
(* b (- (* c z) (* i a)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
8×pow-prod-down prod-exp cbrt-unprod
4×sub-neg associate-*r/ *-commutative add-log-exp
2×distribute-rgt-in flip3-- distribute-lft-in distribute-rgt-neg-out flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
6.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* i (* j (neg y)))
5.0ms
(* (* c j) t)
6.0ms
(* b (- (* c z) (* i a)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* i (* j (neg y)))
5.0ms
(* (* c j) t)
18.0ms
(* b (- (* c z) (* i a)))

simplify48.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05039787

prune198.0ms

Filtered
63 candidates to 93 candidates (-47.6%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New93093
Fresh01818
Picked011
Done000
Total9319112

Merged error: 4.1b

Counts
112 → 19

localize28.0ms

Local error

Found 4 expressions with local error:

6.6b
(* b (- (* c z) (* i a)))
17.1b
(cbrt (* i (* j (neg y))))
17.1b
(cbrt (* i (* j (neg y))))
17.1b
(cbrt (* i (* j (neg y))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×sub-neg associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 49
Calls
4 calls:
6.0ms
(* b (- (* c z) (* i a)))
4.0ms
(cbrt (* i (* j (neg y))))
4.0ms
(cbrt (* i (* j (neg y))))
4.0ms
(cbrt (* i (* j (neg y))))

series92.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* b (- (* c z) (* i a)))
24.0ms
(cbrt (* i (* j (neg y))))
24.0ms
(cbrt (* i (* j (neg y))))
26.0ms
(cbrt (* i (* j (neg y))))

simplify42.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04991567
14991567

prune69.0ms

Filtered
47 candidates to 61 candidates (-29.8%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New60161
Fresh21517
Picked101
Done011
Total631780

Merged error: 3.4b

Counts
80 → 17

regimes1.8s

Accuracy

20.2% (8.1b remaining)

Error of 10.6b against oracle of 2.5b and baseline of 12.7b

bsearch95.0ms

Steps
ItersRangePoint
5
8.349079892079302e+161
2.4705170637776832e+162
8.455721147648853e+161
6
-4.2559546587383792e+96
-9.338766605301684e+95
-1.4924145580725477e+96

simplify18.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
087971
187971

end0.0ms

sample2.6s

Algorithm
intervals
Results
908.0ms11125×body80invalid
667.0ms8000×body80valid

Profiling

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