Details

Time bar (total: 25.7s)

sample131.0ms

Algorithm
intervals
Results
74.0ms649×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5001
51898
4721
3290
296
143
023

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
3.5b
(* j (- (* c t) (* i y)))
3.5b
(* x (- (* y z) (* t a)))
4.2b
(* b (- (* c z) (* i a)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×associate-*r/
11×sub-neg
10×distribute-rgt-in pow1 *-un-lft-identity distribute-lft-in add-cbrt-cube add-exp-log add-cube-cbrt
9×associate-*r* associate-*l*
8×flip3-- flip--
6×add-log-exp
4×associate--l+ frac-sub associate--r+
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log
Counts
4 → 96
Calls
4 calls:
52.0ms
(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
23.0ms
(* j (- (* c t) (* i y)))
37.0ms
(* x (- (* y z) (* t a)))
31.0ms
(* b (- (* c z) (* i a)))

series638.0ms

Counts
4 → 12
Calls
4 calls:
322.0ms
(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
122.0ms
(* j (- (* c t) (* i y)))
108.0ms
(* x (- (* y z) (* t a)))
87.0ms
(* b (- (* c z) (* i a)))

simplify1.9s

Counts
108 → 108
Iterations
IterNodes
done5003
22336
1621
0204

prune995.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.8b

localize126.0ms

Local error

Found 4 expressions with local error:

4.2b
(* b (- (* c z) (* i a)))
6.7b
(cbrt (* j (- (* c t) (* i y))))
6.7b
(cbrt (* j (- (* c t) (* i y))))
6.7b
(cbrt (* j (- (* c t) (* i y))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 cbrt-div *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
29.0ms
(* b (- (* c z) (* i a)))
9.0ms
(cbrt (* j (- (* c t) (* i y))))
9.0ms
(cbrt (* j (- (* c t) (* i y))))
9.0ms
(cbrt (* j (- (* c t) (* i y))))

series679.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* b (- (* c z) (* i a)))
203.0ms
(cbrt (* j (- (* c t) (* i y))))
182.0ms
(cbrt (* j (- (* c t) (* i y))))
193.0ms
(cbrt (* j (- (* c t) (* i y))))

simplify2.0s

Counts
69 → 69
Iterations
IterNodes
done5000
33271
2951
1322
0123

prune973.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.8b

localize125.0ms

Local error

Found 4 expressions with local error:

6.7b
(cbrt (* j (- (* c t) (* i y))))
6.7b
(cbrt (* j (- (* c t) (* i y))))
6.7b
(cbrt (* j (- (* c t) (* i y))))
6.7b
(cbrt (* (* (cbrt (* j (- (* c t) (* i y)))) (cbrt (* j (- (* c t) (* i y))))) (cbrt (* j (- (* c t) (* i y))))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
86×cbrt-div
68×associate-*r/
30×flip3-- flip--
28×frac-times
14×associate-*l/
4×cbrt-prod add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube pow1/3 add-exp-log add-cube-cbrt add-log-exp
1×pow3 rem-cbrt-cube
Counts
4 → 69
Calls
4 calls:
8.0ms
(cbrt (* j (- (* c t) (* i y))))
8.0ms
(cbrt (* j (- (* c t) (* i y))))
8.0ms
(cbrt (* j (- (* c t) (* i y))))
78.0ms
(cbrt (* (* (cbrt (* j (- (* c t) (* i y)))) (cbrt (* j (- (* c t) (* i y))))) (cbrt (* j (- (* c t) (* i y))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
514.0ms
(cbrt (* j (- (* c t) (* i y))))
183.0ms
(cbrt (* j (- (* c t) (* i y))))
178.0ms
(cbrt (* j (- (* c t) (* i y))))
150.0ms
(cbrt (* (* (cbrt (* j (- (* c t) (* i y)))) (cbrt (* j (- (* c t) (* i y))))) (cbrt (* j (- (* c t) (* i y))))))

simplify1.4s

Counts
81 → 81
Iterations
IterNodes
done5000
31709
2659
1314
0166

prune1.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.8b

localize72.0ms

Local error

Found 4 expressions with local error:

4.2b
(* b (- (* c z) (* i a)))
6.4b
(cbrt (* x (- (* y z) (* t a))))
6.4b
(cbrt (* x (- (* y z) (* t a))))
6.4b
(cbrt (* x (- (* y z) (* t a))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 cbrt-div *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
22.0ms
(* b (- (* c z) (* i a)))
9.0ms
(cbrt (* x (- (* y z) (* t a))))
15.0ms
(cbrt (* x (- (* y z) (* t a))))
9.0ms
(cbrt (* x (- (* y z) (* t a))))

series690.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* b (- (* c z) (* i a)))
212.0ms
(cbrt (* x (- (* y z) (* t a))))
183.0ms
(cbrt (* x (- (* y z) (* t a))))
195.0ms
(cbrt (* x (- (* y z) (* t a))))

simplify2.0s

Counts
69 → 69
Iterations
IterNodes
done5002
33282
2951
1322
0123

prune715.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 3.8b

regimes2.2s

Accuracy

12.3% (6.4b remaining)

Error of 11.4b against oracle of 4.9b and baseline of 12.3b

bsearch206.0ms

Steps
ItersRangePoint
4
1.2538304085602743e-203
2.5045969638770812e-203
1.2737169257555403e-203
6
-3.2425151790462807e-283
-2.932479106747331e-284
-3.070193068145833e-283

simplify11.0ms

Iterations
IterNodes
done70
170
047

end0.0ms

sample5.0s

Algorithm
intervals
Results
3.7s19204×body80valid