Details

Time bar (total: 32.0s)

sample202.0ms

Algorithm
intervals
Results
112.0ms664×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 4 (750.0ms)

IterNodesCost
02329
14729
211028
333328
4123027
done500027

prune48.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.9b

localize73.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c z) (* i a))
4.9b
(* j (- (* c t) (* i y)))
5.6b
(* b (- (* c z) (* i a)))
5.8b
(* x (- (* y z) (* t a)))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×distribute-rgt-in distribute-lft-in associate-*r* associate-*l*
7×sub-neg prod-diff
6×associate-*r/ add-log-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×fma-neg diff-log
Counts
4 → 100
Calls
4 calls:
18.0ms
(- (* c z) (* i a))
60.0ms
(* j (- (* c t) (* i y)))
58.0ms
(* b (- (* c z) (* i a)))
69.0ms
(* x (- (* y z) (* t a)))

series459.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (* c z) (* i a))
125.0ms
(* j (- (* c t) (* i y)))
129.0ms
(* b (- (* c z) (* i a)))
139.0ms
(* x (- (* y z) (* t a)))

simplify1.7s

Counts
112 → 112
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02001357
15331338
223851211
done50021195

prune1.4s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.0b

localize78.0ms

Local error

Found 4 expressions with local error:

4.9b
(* j (- (* c t) (* i y)))
5.3b
(* z (* b c))
5.8b
(* x (- (* y z) (* t a)))
6.2b
(* (- (* i a)) b)

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log associate-*l* add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
6×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u sub-neg associate-*r/ prod-diff *-commutative log1p-expm1-u add-log-exp
3×unswap-sqr
2×flip3-- flip--
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
Counts
4 → 100
Calls
4 calls:
69.0ms
(* j (- (* c t) (* i y)))
34.0ms
(* z (* b c))
54.0ms
(* x (- (* y z) (* t a)))
23.0ms
(* (- (* i a)) b)

series399.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(* j (- (* c t) (* i y)))
55.0ms
(* z (* b c))
147.0ms
(* x (- (* y z) (* t a)))
57.0ms
(* (- (* i a)) b)

simplify1.8s

Counts
112 → 112
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01991141
15151125
22305993
done5001987

prune1.6s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.0b

localize82.0ms

Local error

Found 4 expressions with local error:

3.7b
(* i (* (- a) b))
4.9b
(* j (- (* c t) (* i y)))
5.3b
(* z (* b c))
5.8b
(* x (- (* y z) (* t a)))

rewrite164.0ms

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
6×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u sub-neg associate-*r/ prod-diff *-commutative log1p-expm1-u add-log-exp
2×flip3-- flip-- unswap-sqr
1×distribute-lft-neg-out distribute-rgt-neg-out
Counts
4 → 97
Calls
4 calls:
33.0ms
(* i (* (- a) b))
50.0ms
(* j (- (* c t) (* i y)))
27.0ms
(* z (* b c))
50.0ms
(* x (- (* y z) (* t a)))

series347.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* i (* (- a) b))
131.0ms
(* j (- (* c t) (* i y)))
46.0ms
(* z (* b c))
119.0ms
(* x (- (* y z) (* t a)))

simplify1.9s

Counts
109 → 109
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02011129
15361109
22338977
done5001963

prune1.5s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.5b

localize81.0ms

Local error

Found 4 expressions with local error:

3.7b
(* i (* (- a) b))
4.8b
(* (* z b) c)
4.9b
(* j (- (* c t) (* i y)))
5.8b
(* x (- (* y z) (* t a)))

rewrite210.0ms

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
6×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u sub-neg associate-*r/ prod-diff *-commutative log1p-expm1-u add-log-exp
2×flip3-- flip-- unswap-sqr
1×distribute-lft-neg-out distribute-rgt-neg-out
Counts
4 → 97
Calls
4 calls:
36.0ms
(* i (* (- a) b))
40.0ms
(* (* z b) c)
59.0ms
(* j (- (* c t) (* i y)))
71.0ms
(* x (- (* y z) (* t a)))

series349.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* i (* (- a) b))
50.0ms
(* (* z b) c)
126.0ms
(* j (- (* c t) (* i y)))
123.0ms
(* x (- (* y z) (* t a)))

simplify2.2s

Counts
109 → 109
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02041132
15511110
22708984
done5000976

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.0b

regimes3.6s

Accuracy

18.8% (8.2b remaining)

Error of 10.7b against oracle of 2.5b and baseline of 12.6b

bsearch1.2s

Steps
ItersRangePoint
8
8.050083740511832e+19
6.312228878391244e+22
8.361824449463839e+21
8
-4.3259479921974044e-185
-1.690356963114757e-189
-3.4045282169254156e-188
6
-4.455127621809834e-118
-6.87380916056806e-119
-2.0482729984780924e-118
7
-1.0639939887806175e-80
-2.2625962914430285e-82
-4.344184810034145e-82
9
-1.88442939759673e+179
-1.5238622156352095e+171
-1.8132182994707265e+172

simplify41.0ms

Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
062224
194222
2110222
3113222
done113222

end0.0ms

sample7.8s

Algorithm
intervals
Results
5.2s18880×body80valid