Details

Time bar (total: 8.2s)

sample122.0ms

Algorithm
intervals
Results
52.0ms614×body80valid

simplify119.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (117.0ms)

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: 11.1b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
3.5b
(* x (- (* y z) (* t a)))
5.1b
(* j (- (* c a) (* y i)))
5.9b
(* b (- (* c z) (* t i)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
34×associate-*r/
19×flip3-- flip--
16×add-sqr-sqrt
12×frac-add
11×sub-neg
10×pow1 add-exp-log distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in add-cbrt-cube
associate-*r* associate-*l* add-log-exp
frac-sub
associate-+l+
associate-+r+ associate--l+
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
sum-log
+-commutative associate-+l- flip3-+ diff-log flip-+
Counts
4 → 107
Calls
4 calls:
13.0ms
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
9.0ms
(* x (- (* y z) (* t a)))
7.0ms
(* j (- (* c a) (* y i)))
7.0ms
(* b (- (* c z) (* t i)))

series332.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
21.0ms
(* x (- (* y z) (* t a)))
21.0ms
(* j (- (* c a) (* y i)))
21.0ms
(* b (- (* c z) (* t i)))

simplify52.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050553492

prune293.0ms

Filtered
87 candidates to 119 candidates (-36.8%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New9821119
Fresh000
Picked101
Done000
Total9921120

Merged error: 4.0b

Counts
120 → 21

localize22.0ms

Local error

Found 4 expressions with local error:

3.5b
(* x (- (* y z) (* t a)))
5.0b
(* c (* j a))
5.2b
(* i (* (neg y) j))
5.9b
(* b (- (* c z) (* t i)))

rewrite29.0ms

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

series55.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05558831

prune225.0ms

Filtered
65 candidates to 97 candidates (-49.2%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New94397
Fresh21820
Picked101
Done000
Total9721118

Merged error: 3.5b

Counts
118 → 21

localize22.0ms

Local error

Found 4 expressions with local error:

3.5b
(* x (- (* y z) (* t a)))
4.7b
(* b (* t (neg i)))
5.1b
(* j (- (* c a) (* y i)))
5.6b
(* b (* c z))

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

series58.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* x (- (* y z) (* t a)))
7.0ms
(* b (* t (neg i)))
23.0ms
(* j (- (* c a) (* y i)))
7.0ms
(* b (* c z))

simplify36.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04996830
14996830

prune203.0ms

Filtered
65 candidates to 97 candidates (-49.2%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New93497
Fresh61420
Picked101
Done000
Total10018118

Merged error: 1.1b

Counts
118 → 18

localize22.0ms

Local error

Found 4 expressions with local error:

3.5b
(* x (- (* y z) (* t a)))
4.7b
(* (* b c) z)
4.7b
(* b (* t (neg i)))
5.1b
(* j (- (* c a) (* y i)))

rewrite29.0ms

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

series56.0ms

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

simplify37.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05292831

prune105.0ms

Filtered
68 candidates to 97 candidates (-42.6%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New90797
Fresh41317
Picked101
Done000
Total9520115

Merged error: 0.5b

Counts
115 → 20

regimes2.1s

Accuracy

3.1% (11.7b remaining)

Error of 12.4b against oracle of 0.7b and baseline of 12.7b

bsearch495.0ms

Steps
ItersRangePoint
3
3.528964010999325e+276
4.6463450523387755e+276
3.970854927376422e+276
9
3.5005250443935304e+166
2.9086097345228772e+175
1.2308472181377851e+173
5
7.565457221248653e+114
2.3012943149959497e+115
1.0053141711881715e+115
9
6.557756909516507e-24
2.6806195047911837e-16
1.1651153506956796e-16
10
-2.1445575044173838e-299
4.6829595612992834e-303
-2.798889537393456e-301
7
-4.605548108195812e-118
-2.1305666738974316e-120
-3.0683073124079845e-119
5
-3.781390739707417e+23
-1.5225677411045758e+23
-3.135386554209243e+23

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0188293
1188293

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.7s19342×body80valid

Profiling

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