Details

sample142.0ms

Algorithm

intervals

Results

77.0ms

601×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	290	29
4	969	29
done	5001	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* i a))
3.1b	(* b (- (* c z) (* i a)))
4.3b	(* j (- (* c t) (* i y)))
4.5b	(* x (- (* y z) (* t a)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

11.0ms	(- (* c z) (* i a))
52.0ms	(* b (- (* c z) (* i a)))
52.0ms	(* j (- (* c t) (* i y)))
58.0ms	(* x (- (* y z) (* t a)))

series331.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* c z) (* i a))
100.0ms	(* b (- (* c z) (* i a)))
102.0ms	(* j (- (* c t) (* i y)))
77.0ms	(* x (- (* y z) (* t a)))

simplify800.0ms

Counts

96 → 96

Iterations

Useful iterations: done (797.0ms)

Iter	Nodes	Cost
0	167	1155
1	459	1141
2	1845	1017
done	5001	1007

prune467.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.4b

localize39.0ms

Local error

Found 4 expressions with local error:

4.5b	(* x (- (* y z) (* t a)))
5.4b	(cbrt (* j (- (* c t) (* i y))))
5.4b	(cbrt (* j (- (* c t) (* i y))))
5.4b	(cbrt (* j (- (* c t) (* i y))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube`
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:

30.0ms	(* x (- (* y z) (* t a)))
16.0ms	(cbrt (* j (- (* c t) (* i y))))
22.0ms	(cbrt (* j (- (* c t) (* i y))))
21.0ms	(cbrt (* j (- (* c t) (* i y))))

series701.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* x (- (* y z) (* t a)))
222.0ms	(cbrt (* j (- (* c t) (* i y))))
192.0ms	(cbrt (* j (- (* c t) (* i y))))
184.0ms	(cbrt (* j (- (* c t) (* i y))))

simplify2.3s

Counts

69 → 69

Iterations

Useful iterations: 3 (990.0ms)

Iter	Nodes	Cost
0	123	1034
1	323	1010
2	1095	910
3	4661	892
done	5000	892

prune514.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.4b

localize47.0ms

Local error

Found 4 expressions with local error:

4.5b	(* x (- (* y z) (* t a)))
5.4b	(cbrt (* j (- (* c t) (* i y))))
5.4b	(cbrt (* j (- (* c t) (* i y))))
6.5b	(cbrt (- (* c t) (* i y)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
5×	`cbrt-prod`
4×	`flip3--` `flip--` `add-log-exp`
3×	`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 → 59

Calls

4 calls:

36.0ms	(* x (- (* y z) (* t a)))
23.0ms	(cbrt (* j (- (* c t) (* i y))))
12.0ms	(cbrt (* j (- (* c t) (* i y))))
6.0ms	(cbrt (- (* c t) (* i y)))

series758.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* x (- (* y z) (* t a)))
206.0ms	(cbrt (* j (- (* c t) (* i y))))
238.0ms	(cbrt (* j (- (* c t) (* i y))))
213.0ms	(cbrt (- (* c t) (* i y)))

simplify885.0ms

Counts

71 → 71

Iterations

Useful iterations: done (882.0ms)

Iter	Nodes	Cost
0	157	1061
1	402	1035
2	1294	940
done	5000	920

prune791.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.4b

localize59.0ms

Local error

Found 4 expressions with local error:

4.5b	(* x (- (* y z) (* t a)))
6.1b	(cbrt (* b (- (* c z) (* i a))))
6.1b	(cbrt (* b (- (* c z) (* i a))))
6.1b	(cbrt (* b (- (* c z) (* i a))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube`
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:

43.0ms	(* x (- (* y z) (* t a)))
14.0ms	(cbrt (* b (- (* c z) (* i a))))
12.0ms	(cbrt (* b (- (* c z) (* i a))))
28.0ms	(cbrt (* b (- (* c z) (* i a))))

series840.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* x (- (* y z) (* t a)))
250.0ms	(cbrt (* b (- (* c z) (* i a))))
229.0ms	(cbrt (* b (- (* c z) (* i a))))
244.0ms	(cbrt (* b (- (* c z) (* i a))))

simplify3.1s

Counts

69 → 69

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	123	1034
1	323	1010
2	1092	910
3	4647	892
done	5001	892

prune550.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.4b

regimes1.7s

Accuracy

31.8% (5.6b remaining)

Error of 10.1b against oracle of 4.4b and baseline of 12.7b

bsearch263.0ms

Steps

Iters	Range		Point
7	2.1280049362181124e-35	3.887321266071713e-33	9.45283446271439e-35
6	-5.807668130004072e-126	-1.1427220485982071e-126	-5.751840893668181e-126

simplify25.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	104
1	86	104
2	108	104
3	109	104
done	109	104

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.9s

19000×

body

valid