Details

sample152.0ms

Algorithm

intervals

Results

82.0ms

626×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (239.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	333	28
4	1229	27
done	5000	27

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
5.4b	(* j (- (* c a) (* y i)))
5.4b	(* b (- (* c z) (* t i)))
5.5b	(* x (- (* y z) (* t a)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-*r/`
11×	`sub-neg` `prod-diff`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
8×	`flip3--` `flip--`
6×	`associate--l+` `associate--r+` `add-log-exp`
4×	`expm1-log1p-u` `frac-sub` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 116

Calls

4 calls:

38.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
42.0ms	(* j (- (* c a) (* y i)))
46.0ms	(* b (- (* c z) (* t i)))
58.0ms	(* x (- (* y z) (* t a)))

series652.0ms

Counts

4 → 12

Calls

4 calls:

366.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
105.0ms	(* j (- (* c a) (* y i)))
92.0ms	(* b (- (* c z) (* t i)))
89.0ms	(* x (- (* y z) (* t a)))

simplify2.1s

Counts

128 → 128

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	247	2235
1	743	2111
2	3703	1993
done	5000	1989

prune973.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.0b

localize35.0ms

Local error

Found 4 expressions with local error:

3.9b	(* i (* y j))
4.4b	(* a (* j c))
5.4b	(* b (- (* c z) (* t i)))
5.5b	(* x (- (* y z) (* t a)))

rewrite145.0ms

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`

Counts

4 → 96

Calls

4 calls:

19.0ms	(* i (* y j))
17.0ms	(* a (* j c))
42.0ms	(* b (- (* c z) (* t i)))
63.0ms	(* x (- (* y z) (* t a)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* i (* y j))
51.0ms	(* a (* j c))
96.0ms	(* b (- (* c z) (* t i)))
100.0ms	(* x (- (* y z) (* t a)))

simplify1.3s

Counts

108 → 108

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	197	1094
1	512	1082
2	2212	948
done	5001	936

prune635.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.3b

localize72.0ms

Local error

Found 4 expressions with local error:

5.5b	(* x (- (* y z) (* t 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))))

rewrite109.0ms

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×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-r` `associate-l`
2×	`sub-neg` `prod-diff`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

60.0ms	(* x (- (* y z) (* t a)))
22.0ms	(cbrt (* x (- (* y z) (* t a))))
12.0ms	(cbrt (* x (- (* y z) (* t a))))
11.0ms	(cbrt (* x (- (* y z) (* t a))))

series686.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* x (- (* y z) (* t a)))
188.0ms	(cbrt (* x (- (* y z) (* t a))))
187.0ms	(cbrt (* x (- (* y z) (* t a))))
204.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify1.1s

Counts

79 → 79

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	116	1156
1	296	1119
2	1149	1017
done	5001	999

prune828.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.3b

localize67.0ms

Local error

Found 4 expressions with local error:

5.5b	(* x (- (* y z) (* t a)))
6.3b	(cbrt (- (* y z) (* t a)))
6.4b	(cbrt (* x (- (* y z) (* t a))))
6.4b	(cbrt (* x (- (* y z) (* t a))))

rewrite98.0ms

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×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-r` `associate-l`
2×	`sub-neg` `prod-diff`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

64.0ms	(* x (- (* y z) (* t a)))
6.0ms	(cbrt (- (* y z) (* t a)))
11.0ms	(cbrt (* x (- (* y z) (* t a))))
13.0ms	(cbrt (* x (- (* y z) (* t a))))

series660.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* x (- (* y z) (* t a)))
156.0ms	(cbrt (- (* y z) (* t a)))
215.0ms	(cbrt (* x (- (* y z) (* t a))))
200.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify955.0ms

Counts

81 → 81

Iterations

Useful iterations: done (951.0ms)

Iter	Nodes	Cost
0	148	1179
1	368	1140
2	1381	1043
done	5000	1021

prune896.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 1.3b

regimes1.6s

Accuracy

14.1% (9.3b remaining)

Error of 11.1b against oracle of 1.8b and baseline of 12.6b

bsearch485.0ms

Steps

Iters	Range	Point
6	2.1455410544957303e+87	1.3320796469174074e+88	4.749658990747299e+87
7	-2.2980806425811264e-259	-7.569017572637672e-261	-1.2148213095888394e-260
8	-1.0636927969358205e+73	-3.015279063312631e+68	-1.0304241060119128e+71

Iters

Range

Point

2.1455410544957303e+87

1.3320796469174074e+88

4.749658990747299e+87

-2.2980806425811264e-259

-7.569017572637672e-261

-1.2148213095888394e-260

-1.0636927969358205e+73

-3.015279063312631e+68

-1.0304241060119128e+71

simplify18.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	57	153
1	90	153
2	96	153
3	97	153
done	97	153

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.4s

19060×

body

valid