Details

sample74.0ms

Algorithm

intervals

Results

33.0ms

567×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	290	29
4	677	29
5	1522	29
6	4421	29
done	5000	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
4.5b	(* b (- (* c z) (* i a)))
4.7b	(* x (- (* y z) (* t a)))
5.1b	(* j (- (* c t) (* i y)))

rewrite161.0ms

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`
9×	`associate-r` `associate-l` `add-log-exp`
8×	`frac-sub`
6×	`associate-+l+`
4×	`associate-+r+` `associate--l+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `flip3-+` `diff-log` `flip-+`

Counts

4 → 107

Calls

4 calls:

76.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
27.0ms	(* b (- (* c z) (* i a)))
25.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* j (- (* c t) (* i y)))

series813.0ms

Counts

4 → 12

Calls

4 calls:

593.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
71.0ms	(* b (- (* c z) (* i a)))
73.0ms	(* x (- (* y z) (* t a)))
76.0ms	(* j (- (* c t) (* i y)))

simplify1.6s

Counts

119 → 119

Iterations

Useful iterations: 2 (483.0ms)

Iter	Nodes	Cost
0	273	3882
1	957	3622
2	4519	3492
done	5000	3492

prune533.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.4b

localize25.0ms

Local error

Found 4 expressions with local error:

4.5b	(* b (- (* c z) (* i a)))
4.7b	(* x (* y z))
5.1b	(* j (- (* c t) (* i y)))
5.5b	(* a (* x t))

rewrite88.0ms

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--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

26.0ms	(* b (- (* c z) (* i a)))
19.0ms	(* x (* y z))
26.0ms	(* j (- (* c t) (* i y)))
15.0ms	(* a (* x t))

series199.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* b (- (* c z) (* i a)))
26.0ms	(* x (* y z))
74.0ms	(* j (- (* c t) (* i y)))
26.0ms	(* a (* x t))

simplify949.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (184.0ms)

Iter	Nodes	Cost
0	173	958
1	436	946
2	1379	806
done	5000	806

prune601.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 3.9b

localize25.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z)))
4.5b	(* b (- (* c z) (* i a)))
5.1b	(* j (- (* c t) (* i y)))
5.5b	(* a (* x t))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
24×	`add-cbrt-cube`
20×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt`
10×	`associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

62.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z)))
27.0ms	(* b (- (* c z) (* i a)))
25.0ms	(* j (- (* c t) (* i y)))
18.0ms	(* a (* x t))

series219.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y z)))
70.0ms	(* b (- (* c z) (* i a)))
73.0ms	(* j (- (* c t) (* i y)))
26.0ms	(* a (* x t))

simplify1.0s

Counts

106 → 106

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	193	1289
1	500	1265
2	1745	959
done	5000	868

prune437.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 2.1b

localize29.0ms

Local error

Found 4 expressions with local error:

5.5b	(* a (* x t))
14.6b	(cbrt (* a (* x t)))
14.6b	(cbrt (* a (* x t)))
14.6b	(cbrt (* a (* x t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 45

Calls

4 calls:

15.0ms	(* a (* x t))
11.0ms	(cbrt (* a (* x t)))
13.0ms	(cbrt (* a (* x t)))
10.0ms	(cbrt (* a (* x t)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* a (* x t))
94.0ms	(cbrt (* a (* x t)))
95.0ms	(cbrt (* a (* x t)))
96.0ms	(cbrt (* a (* x t)))

simplify3.3s

Counts

57 → 57

Iterations

Useful iterations: 4 (2.4s)

Iter	Nodes	Cost
0	73	522
1	170	504
2	546	423
3	1857	408
4	4476	378
done	5000	378

prune307.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.1b

regimes1.3s

Accuracy

6.1% (9.4b remaining)

Error of 12.0b against oracle of 2.6b and baseline of 12.6b

bsearch373.0ms

Steps

Iters	Range		Point
7	9.073969560658251e+92	3.7504172649981864e+94	1.714973672352426e+93
6	7.31029731687051e-302	1.032529379132493e-300	7.448778321262619e-301
9	-1.0707560820963156e-89	-1.6722734236811196e-98	-2.7652078028012978e-96
8	-1.6707285673808966e-40	-6.516412631691457e-45	-7.276076652476423e-42

simplify29.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	205
1	120	205
2	147	205
3	148	205
done	148	205

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s

18997×

body

valid