Details

sample138.0ms

Algorithm

intervals

Results

83.0ms

569×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1195
3	333
2	110
1	47
0	23

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c t) (* i y))
4.4b	(* j (- (* c t) (* i y)))
4.9b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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--` `log1p-expm1-u` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 100

Calls

4 calls:

13.0ms	(- (* c t) (* i y))
35.0ms	(* j (- (* c t) (* i y)))
28.0ms	(* b (- (* c z) (* i a)))
21.0ms	(* x (- (* y z) (* t a)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (* c t) (* i y))
102.0ms	(* j (- (* c t) (* i y)))
92.0ms	(* b (- (* c z) (* i a)))
89.0ms	(* x (- (* y z) (* t a)))

simplify974.0ms

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	2430
1	532
0	200

prune1.3s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.2b

localize62.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* j t) c)
4.9b	(* b (- (* c z) (* i a)))
5.0b	(* (* i j) (- y))
6.5b	(* x (- (* y z) (* t a)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-r`
18×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `prod-diff` `associate-r/` `-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 104

Calls

4 calls:

15.0ms	(* (* j t) c)
22.0ms	(* b (- (* c z) (* i a)))
16.0ms	(* (* i j) (- y))
30.0ms	(* x (- (* y z) (* t a)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* j t) c)
104.0ms	(* b (- (* c z) (* i a)))
60.0ms	(* (* i j) (- y))
107.0ms	(* x (- (* y z) (* t a)))

simplify1.8s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	3387
1	600
0	218

prune1.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 1.6b

localize65.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* j t) c)
4.9b	(* b (- (* c z) (* i a)))
5.0b	(* (* i j) (- y))
5.4b	(* (* z y) x)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
19×	`associate-r`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in`
2×	`sub-neg` `prod-diff` `associate-*r/`
1×	`neg-mul-1` `flip3--` `distribute-rgt-neg-out` `flip--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

15.0ms	(* (* j t) c)
22.0ms	(* b (- (* c z) (* i a)))
40.0ms	(* (* i j) (- y))
22.0ms	(* (* z y) x)

series246.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* j t) c)
107.0ms	(* b (- (* c z) (* i a)))
55.0ms	(* (* i j) (- y))
51.0ms	(* (* z y) x)

simplify2.2s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
2	3250
1	537
0	197

prune1.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.1b

localize98.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* i j) (* (cbrt y) (cbrt y)))
4.2b	(* (* j t) c)
4.9b	(* b (- (* c z) (* i a)))
5.4b	(* (* z y) x)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

26.0ms	(* (* i j) (* (cbrt y) (cbrt y)))
25.0ms	(* (* j t) c)
41.0ms	(* b (- (* c z) (* i a)))
15.0ms	(* (* z y) x)

series391.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (* i j) (* (cbrt y) (cbrt y)))
38.0ms	(* (* j t) c)
104.0ms	(* b (- (* c z) (* i a)))
51.0ms	(* (* z y) x)

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	2680
1	516
0	193

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.8b

regimes3.4s

Accuracy

19.4% (9.6b remaining)

Error of 10.6b against oracle of 0.9b and baseline of 12.9b

bsearch648.0ms

Steps

Iters	Range		Point
9	7.70965063228703e-102	5.9127208589062964e-95	2.880247879572148e-95
7	-1.232269303527254e-236	-9.03055492461014e-239	-4.687249819554671e-238
8	-6.317400514192425e-196	-2.5579234629896453e-199	-8.403626242362648e-198
5	-5.287463961727755e+36	-2.6111457092222184e+36	-4.053319781872422e+36

simplify33.0ms

Iterations

Iter	Nodes
done	199
3	199
2	185
1	148
0	85

end0.0ms

sample5.8s

Algorithm

intervals

Results

4.3s

19189×

body

valid