Details

Time bar (total: 7.1s)

sample124.0ms

Algorithm
intervals
Results
53.0ms628×body80valid

simplify119.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (118.0ms)

IterNodesCost
0304729
1304729

prune11.0ms

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: 14.2b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c z) (* i a))
3.3b
(* x (- (* y z) (* t a)))
5.8b
(* j (- (* c t) (* i y)))
8.3b
(* 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×distribute-rgt-in distribute-lft-in associate-*r/ add-log-exp
4×flip3-- flip--
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log
Counts
4 → 84
Calls
4 calls:
4.0ms
(- (* c z) (* i a))
7.0ms
(* x (- (* y z) (* t a)))
7.0ms
(* j (- (* c t) (* i y)))
7.0ms
(* b (- (* c z) (* i a)))

series77.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- (* c z) (* i a))
21.0ms
(* x (- (* y z) (* t a)))
21.0ms
(* j (- (* c t) (* i y)))
23.0ms
(* b (- (* c z) (* i a)))

simplify27.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
050131007

prune218.0ms

Filtered
65 candidates to 96 candidates (-47.7%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New811596
Fresh000
Picked101
Done000
Total821597

Merged error: 6.7b

Counts
97 → 15

localize22.0ms

Local error

Found 4 expressions with local error:

3.3b
(* x (- (* y z) (* t a)))
4.8b
(* i (* j (neg y)))
5.1b
(* c (* j t))
8.3b
(* b (- (* c z) (* i a)))

rewrite27.0ms

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×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
2×flip3-- distribute-rgt-neg-out flip-- unswap-sqr
Counts
4 → 85
Calls
4 calls:
7.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* i (* j (neg y)))
5.0ms
(* c (* j t))
7.0ms
(* b (- (* c z) (* i a)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* x (- (* y z) (* t a)))
7.0ms
(* i (* j (neg y)))
8.0ms
(* c (* j t))
21.0ms
(* b (- (* c z) (* i a)))

simplify36.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04985830
14985830

prune175.0ms

Filtered
62 candidates to 97 candidates (-56.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New93497
Fresh5914
Picked101
Done000
Total9913112

Merged error: 6.2b

Counts
112 → 13

localize23.0ms

Local error

Found 4 expressions with local error:

3.3b
(* x (- (* y z) (* t a)))
5.1b
(* c (* j t))
5.5b
(* (* i j) (neg y))
8.3b
(* b (- (* c z) (* i a)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
17×associate-*r*
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×associate-*l*
8×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×flip3-- flip-- unswap-sqr
1×neg-mul-1 distribute-rgt-neg-out
Counts
4 → 92
Calls
4 calls:
7.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* c (* j t))
7.0ms
(* (* i j) (neg y))
7.0ms
(* b (- (* c z) (* i a)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* c (* j t))
7.0ms
(* (* i j) (neg y))
21.0ms
(* b (- (* c z) (* i a)))

simplify28.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05026875

prune165.0ms

Filtered
68 candidates to 104 candidates (-52.9%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1040104
Fresh01212
Picked011
Done000
Total10413117

Merged error: 6.2b

Counts
117 → 13

localize26.0ms

Local error

Found 4 expressions with local error:

4.4b
(* z (* y x))
5.3b
(* a (* t (neg x)))
5.8b
(* j (- (* c t) (* i y)))
8.3b
(* b (- (* c z) (* i a)))

rewrite27.0ms

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×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
2×flip3-- distribute-rgt-neg-out flip-- unswap-sqr
Counts
4 → 85
Calls
4 calls:
5.0ms
(* z (* y x))
6.0ms
(* a (* t (neg x)))
7.0ms
(* j (- (* c t) (* i y)))
7.0ms
(* b (- (* c z) (* i a)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (* y x))
7.0ms
(* a (* t (neg x)))
21.0ms
(* j (- (* c t) (* i y)))
21.0ms
(* b (- (* c z) (* i a)))

simplify49.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05476830

prune89.0ms

Filtered
59 candidates to 97 candidates (-64.4%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New94397
Fresh01111
Picked101
Done011
Total9515110

Merged error: 5.9b

Counts
110 → 15

regimes1.7s

Accuracy

13.4% (7.9b remaining)

Error of 11.7b against oracle of 3.8b and baseline of 13.0b

bsearch299.0ms

Steps
ItersRangePoint
8
3.5433244699286287e-54
1.545434632988886e-51
5.32068816882659e-52
9
-8.579489161807521e-239
-2.6518578465431815e-244
-2.8667241942738798e-241
5
-4.0055463535402934e-105
-1.6744684301907173e-105
-3.0440038809282484e-105
9
-4.210895740774015e+208
-8.991327736243532e+199
-5.765032285827852e+204

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0126180
1126180

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.6s19364×body80valid

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