Details

sample213.0ms

Algorithm

intervals

Results

159.0ms

552×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2726
4	907
3	333
2	110
1	47
0	23

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.9b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* i t) (* z c))
4.1b	(fma (- (* a c) (* i y)) j (fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x)))
4.9b	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
5.6b	(* (- (* z y) (* t a)) x)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-r` `associate-l`
2×	`flip3--` `associate-*l/` `fma-udef` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

16.0ms	(- (* i t) (* z c))
0.0ms	(fma (- (* a c) (* i y)) j (fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x)))
0.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
40.0ms	(* (- (* z y) (* t a)) x)

series1.3s

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* i t) (* z c))
800.0ms	(fma (- (* a c) (* i y)) j (fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x)))
300.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
100.0ms	(* (- (* z y) (* t a)) x)

simplify3.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	5006
3	3388
2	916
1	302
0	126

prune858.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* i t) (* z c))
4.9b	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
5.2b	(* (- (* a c) (* i y)) j)
5.6b	(* (- (* z y) (* t a)) x)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `fma-udef`

Counts

4 → 74

Calls

4 calls:

17.0ms	(- (* i t) (* z c))
0.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
24.0ms	(* (- (* a c) (* i y)) j)
31.0ms	(* (- (* z y) (* t a)) x)

series527.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* i t) (* z c))
266.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
107.0ms	(* (- (* a c) (* i y)) j)
87.0ms	(* (- (* z y) (* t a)) x)

simplify2.6s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	4905
2	1254
1	386
0	153

prune940.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.0b

localize92.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (- (* a c) (* i y)) j)
7.4b	(cbrt (- (* z y) (* t a)))
7.4b	(cbrt (- (* z y) (* t a)))
7.4b	(cbrt (- (* z y) (* t a)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-div` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

36.0ms	(* (- (* a c) (* i y)) j)
11.0ms	(cbrt (- (* z y) (* t a)))
11.0ms	(cbrt (- (* z y) (* t a)))
12.0ms	(cbrt (- (* z y) (* t a)))

series602.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (- (* a c) (* i y)) j)
173.0ms	(cbrt (- (* z y) (* t a)))
194.0ms	(cbrt (- (* z y) (* t a)))
147.0ms	(cbrt (- (* z y) (* t a)))

simplify2.8s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	3251
2	946
1	316
0	123

prune1.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.0b

localize94.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (* (- (* a c) (* i y)) (* (cbrt j) (cbrt j))) (cbrt j))
4.3b	(* (- (* a c) (* i y)) (* (cbrt j) (cbrt j)))
4.9b	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
5.6b	(* (- (* z y) (* t a)) x)

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log`
13×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
10×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-*l/`
7×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`fma-udef`

Counts

4 → 87

Calls

4 calls:

93.0ms	(* (* (- (* a c) (* i y)) (* (cbrt j) (cbrt j))) (cbrt j))
42.0ms	(* (- (* a c) (* i y)) (* (cbrt j) (cbrt j)))
0.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
46.0ms	(* (- (* z y) (* t a)) x)

series782.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (* (- (* a c) (* i y)) (* (cbrt j) (cbrt j))) (cbrt j))
282.0ms	(* (- (* a c) (* i y)) (* (cbrt j) (cbrt j)))
289.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
83.0ms	(* (- (* z y) (* t a)) x)

simplify1.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5003
2	1525
1	462
0	174

prune706.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.0b

regimes1.7s

Accuracy

26.8% (5.6b remaining)

Error of 9.9b against oracle of 4.2b and baseline of 11.9b

bsearch444.0ms

Steps

Iters	Range		Point
7	5.73276585342485e+140	2.2306503042199803e+142	2.3199780976073262e+141
8	-9.859887223720186e+70	-5.389788625707826e+67	-6.951832147058687e+70

simplify14.0ms

Iterations

Iter	Nodes
done	64
1	64
0	43

end0.0ms

sample6.4s

Algorithm

intervals

Results

5.1s

18737×

body

valid