Details

Time bar (total: 8.7s)

analyze2.1s (23.9%)

Algorithm
1×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 (1.1%)

Algorithm
1×intervals
Results
29.0ms349×body80invalid
26.0ms256×body80valid

simplify322.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (320.0ms)

IterNodesCost
0495529
1495529

prune12.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 14.1b

Counts
2 → 1

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(- (* c z) (* i a))
4.9b
(* x (- (* y z) (* t a)))
5.1b
(* j (- (* c t) (* i y)))
5.5b
(* b (- (* c z) (* i a)))

rewrite24.0ms (0.3%)

Algorithm
1×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:

6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* j (- (* c t) (* i y)))
4.0ms
(- (* c z) (* i a))

series67.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

19.0ms
(* x (- (* y z) (* t a)))
18.0ms
(* b (- (* c z) (* i a)))
18.0ms
(* j (- (* c t) (* i y)))
12.0ms
(- (* c z) (* i a))

simplify45.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04926937
14926937

prune233.0ms (2.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New741589
Fresh000
Picked101
Done000
Total751590

Merged error: 3.9b

Counts
90 → 15

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.4b
(* a (* t (neg x)))
5.1b
(* j (- (* c t) (* i y)))
5.4b
(* z (* y x))
5.5b
(* b (- (* c z) (* i a)))

rewrite24.0ms (0.3%)

Algorithm
1×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
(* b (- (* c z) (* i a)))
6.0ms
(* j (- (* c t) (* i y)))
5.0ms
(* a (* t (neg x)))
5.0ms
(* z (* y x))

series51.0ms (0.6%)

Counts
4 → 12
Calls

4 calls:

19.0ms
(* b (- (* c z) (* i a)))
18.0ms
(* j (- (* c t) (* i y)))
8.0ms
(* z (* y x))
6.0ms
(* a (* t (neg x)))

simplify33.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05051786

prune205.0ms (2.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh11314
Picked011
Done000
Total9216108

Merged error: 3.6b

Counts
108 → 16

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.9b
(* x (- (* y z) (* t a)))
5.3b
(* i (* j (neg y)))
5.5b
(* b (- (* c z) (* i a)))
5.9b
(* c (* j t))

rewrite24.0ms (0.3%)

Algorithm
1×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)))
6.0ms
(* b (- (* c z) (* i a)))
5.0ms
(* i (* j (neg y)))
5.0ms
(* c (* j t))

series52.0ms (0.6%)

Counts
4 → 12
Calls

4 calls:

22.0ms
(* x (- (* y z) (* t a)))
18.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* i (* j (neg y)))
6.0ms
(* c (* j t))

simplify34.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05175786

prune247.0ms (2.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New86793
Fresh31114
Picked101
Done101
Total9118109

Merged error: 2.1b

Counts
109 → 18

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.7b
(* (* c j) t)
4.9b
(* x (- (* y z) (* t a)))
5.3b
(* i (* j (neg y)))
5.5b
(* b (- (* c z) (* i a)))

rewrite25.0ms (0.3%)

Algorithm
1×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:

7.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* i (* j (neg y)))
5.0ms
(* (* c j) t)

series53.0ms (0.6%)

Counts
4 → 12
Calls

4 calls:

20.0ms
(* x (- (* y z) (* t a)))
18.0ms
(* b (- (* c z) (* i a)))
8.0ms
(* i (* j (neg y)))
6.0ms
(* (* c j) t)

simplify46.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05039787

prune113.0ms (1.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh11617
Picked011
Done000
Total9318111

Merged error: 2.1b

Counts
111 → 18

regimes2.0s (22.8%)

Accuracy

Total 7.3b remaining (78.5%)

Threshold costs 0b (0%)

bsearch118.0ms (1.4%)

Steps
ItersRangePoint
6
3.387611774543322e-11
1.4126256030775598e-10
3.620608584093998e-11
10
-1.4118224876843139e-46
-2.7238862381261633e-58
-2.210704941227226e-47

simplify21.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
092078
192078

end0.0ms (0%)

sample2.7s (31%)

Algorithm
1×intervals
Results
954.0ms11247×body80invalid
699.0ms8000×body80valid

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