Details

sample110.0ms

Algorithm

intervals

Results

53.0ms

622×

body

valid

simplify70.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c t) (* i y))
3.3b	(* b (- (* c z) (* i a)))
5.6b	(* j (- (* c t) (* i y)))
6.4b	(* x (- (* y z) (* t a)))

rewrite99.0ms

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:

8.0ms	(- (* c t) (* i y))
27.0ms	(* b (- (* c z) (* i a)))
34.0ms	(* j (- (* c t) (* i y)))
27.0ms	(* x (- (* y z) (* t a)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* c t) (* i y))
75.0ms	(* b (- (* c z) (* i a)))
78.0ms	(* j (- (* c t) (* i y)))
77.0ms	(* x (- (* y z) (* t a)))

simplify46.0ms

Counts: 96 → 96

prune427.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.2b

localize42.0ms

Local error

Found 4 expressions with local error:

1.4b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
2.1b	(* (cbrt b) (- (* c z) (* i a)))
5.6b	(* j (- (* c t) (* i y)))
6.4b	(* x (- (* y z) (* t a)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

66.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
35.0ms	(* (cbrt b) (- (* c z) (* i a)))
27.0ms	(* j (- (* c t) (* i y)))
28.0ms	(* x (- (* y z) (* t a)))

series553.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
296.0ms	(* (cbrt b) (- (* c z) (* i a)))
75.0ms	(* j (- (* c t) (* i y)))
76.0ms	(* x (- (* y z) (* t a)))

simplify73.0ms

Counts: 120 → 120

prune546.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.3b

localize34.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (- b) (* i a))
5.6b	(* j (- (* c t) (* i y)))
5.8b	(* z (* b c))
6.4b	(* x (- (* y z) (* t a)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-l`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
12×	`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`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1`

Counts

4 → 92

Calls

4 calls:

20.0ms	(* (- b) (* i a))
32.0ms	(* j (- (* c t) (* i y)))
16.0ms	(* z (* b c))
27.0ms	(* x (- (* y z) (* t a)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (- b) (* i a))
76.0ms	(* j (- (* c t) (* i y)))
27.0ms	(* z (* b c))
77.0ms	(* x (- (* y z) (* t a)))

simplify57.0ms

Counts: 104 → 104

prune462.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.8b

localize44.0ms

Local error

Found 4 expressions with local error:

6.4b	(* x (- (* y z) (* t a)))
18.7b	(cbrt (* (- b) (* i a)))
18.7b	(cbrt (* (- b) (* i a)))
18.7b	(cbrt (* (- b) (* i a)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

29.0ms	(* x (- (* y z) (* t a)))
12.0ms	(cbrt (* (- b) (* i a)))
12.0ms	(cbrt (* (- b) (* i a)))
12.0ms	(cbrt (* (- b) (* i a)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* x (- (* y z) (* t a)))
110.0ms	(cbrt (* (- b) (* i a)))
110.0ms	(cbrt (* (- b) (* i a)))
109.0ms	(cbrt (* (- b) (* i a)))

simplify77.0ms

Counts: 63 → 63

prune366.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.8b

regimes939.0ms

Accuracy

51.7% (3.2b remaining)

Error of 9.3b against oracle of 6.1b and baseline of 12.6b

bsearch239.0ms

Steps

Iters	Range		Point
5	5.905530184716104e+82	2.3615186684122e+83	6.000359978067976e+82
8	-1.7424057351026483e+22	-1.4748069476452327e+19	-3.841870096156448e+20

simplify2.0ms

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.8s

19110×

body

valid