Details

sample182.0ms

Algorithm

intervals

Results

98.0ms

573×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (331.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	333	28
4	909	27
5	2811	27
done	5000	27

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c t) (* i y))
4.7b	(* x (- (* y z) (* t a)))
6.4b	(* b (- (* c z) (* i a)))
8.0b	(* j (- (* c t) (* i y)))

rewrite108.0ms

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:

9.0ms	(- (* c t) (* i y))
31.0ms	(* x (- (* y z) (* t a)))
36.0ms	(* b (- (* c z) (* i a)))
29.0ms	(* j (- (* c t) (* i y)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* c t) (* i y))
129.0ms	(* x (- (* y z) (* t a)))
94.0ms	(* b (- (* c z) (* i a)))
92.0ms	(* j (- (* c t) (* i y)))

simplify3.1s

Counts

112 → 112

Iterations

Useful iterations: 2 (355.0ms)

Iter	Nodes	Cost
0	200	1357
1	476	1338
2	1364	1195
3	4998	1195
done	5000	1195

prune760.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.6b

localize43.0ms

Local error

Found 4 expressions with local error:

4.7b	(* x (- (* y z) (* t a)))
5.5b	(* t (* j c))
6.0b	(* i (* j y))
6.4b	(* b (- (* c z) (* i a)))

rewrite165.0ms

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:

42.0ms	(* x (- (* y z) (* t a)))
31.0ms	(* t (* j c))
36.0ms	(* i (* j y))
52.0ms	(* b (- (* c z) (* i a)))

series368.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* x (- (* y z) (* t a)))
36.0ms	(* t (* j c))
43.0ms	(* i (* j y))
128.0ms	(* b (- (* c z) (* i a)))

simplify1.8s

Counts

108 → 108

Iterations

Useful iterations: 2 (349.0ms)

Iter	Nodes	Cost
0	196	1094
1	469	1082
2	1454	936
done	5000	936

prune701.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.5b

localize47.0ms

Local error

Found 4 expressions with local error:

4.7b	(* (* t j) c)
4.7b	(* x (- (* y z) (* t a)))
6.0b	(* i (* j y))
6.4b	(* b (- (* c z) (* i a)))

rewrite156.0ms

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`

Counts

4 → 96

Calls

4 calls:

36.0ms	(* (* t j) c)
54.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* i (* j y))
33.0ms	(* b (- (* c z) (* i a)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* t j) c)
120.0ms	(* x (- (* y z) (* t a)))
50.0ms	(* i (* j y))
103.0ms	(* b (- (* c z) (* i a)))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: 2 (328.0ms)

Iter	Nodes	Cost
0	199	1097
1	477	1083
2	1545	937
done	5000	937

prune795.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.4b

localize57.0ms

Local error

Found 4 expressions with local error:

4.7b	(* (* t j) c)
4.7b	(* x (- (* y z) (* t a)))
5.0b	(* (* i j) y)
6.4b	(* b (- (* c z) (* i a)))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l` `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:

35.0ms	(* (* t j) c)
53.0ms	(* x (- (* y z) (* t a)))
35.0ms	(* (* i j) y)
43.0ms	(* b (- (* c z) (* i a)))

series383.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* t j) c)
141.0ms	(* x (- (* y z) (* t a)))
55.0ms	(* (* i j) y)
124.0ms	(* b (- (* c z) (* i a)))

simplify1.5s

Counts

108 → 108

Iterations

Useful iterations: 2 (378.0ms)

Iter	Nodes	Cost
0	201	1100
1	484	1084
2	1642	938
done	5000	938

prune543.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.4b

regimes1.6s

Accuracy

9.6% (8.5b remaining)

Error of 11.8b against oracle of 3.3b and baseline of 12.7b

bsearch746.0ms

Steps

Iters	Range		Point
10	2.610760928854144e+253	3.386644589850816e+269	2.6490666153897312e+253
9	-2.427745121287546e-254	-3.113888893808521e-261	-2.084139175117578e-260
7	-4.0504560254265596e-144	-1.3844680013122537e-145	-3.030521279964127e-144
7	-4.8089663841541e+98	-2.8520938882348484e+96	-3.778273061350026e+98

simplify28.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	65	179
1	109	177
2	136	177
3	137	177
done	137	177

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.5s

18917×

body

valid