Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

307×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	943
4	264
3	92
2	34
1	14
0	8

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize17.0ms

Local error

Found 1 expressions with local error:

2.4b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

25.0ms

(* x (- 1.0 (* (- 1.0 y) z)))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(* x (- 1.0 (* (- 1.0 y) z)))

simplify707.0ms

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
2	744
1	188
0	76

prune203.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (- 1.0 y) (* z (- x))))
3.1b	(* (- 1.0 y) (* z (- x)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`distribute-rgt-neg-out`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip3--` `associate-r` `unsub-neg` `*-commutative` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

9.0ms	(+ (* x 1.0) (* (- 1.0 y) (* z (- x))))
53.0ms	(* (- 1.0 y) (* z (- x)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(+ (* x 1.0) (* (- 1.0 y) (* z (- x))))
62.0ms	(* (- 1.0 y) (* z (- x)))

simplify759.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
2	1037
1	250
0	87

prune337.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* z x))
3.6b	(fma z (* y x) (* 1.0 (- x (* z x))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `fma-udef` `flip--`

Counts

2 → 31

Calls

2 calls:

6.0ms	(- x (* z x))
0.0ms	(fma z (* y x) (* 1.0 (- x (* z x))))

series114.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- x (* z x))
77.0ms	(fma z (* y x) (* 1.0 (- x (* z x))))

simplify2.0s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
3	4247
2	558
1	139
0	63

prune185.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (fma z (- 1.0 y) 1.0) (- 1.0 (* (- 1.0 y) z)))
6.1b	(* (* (fma z (- 1.0 y) 1.0) (- 1.0 (* (- 1.0 y) z))) x)
11.3b	(/ (* (* (fma z (- 1.0 y) 1.0) (- 1.0 (* (- 1.0 y) z))) x) (+ 1.0 (* (- 1.0 y) z)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r` `prod-diff` `associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-l` `pow-prod-down` `associate-*l/`
3×	`expm1-log1p-u` `cbrt-undiv` `associate-/r*` `times-frac` `flip3--` `div-exp` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`sub-neg` `associate-/r/` `*-commutative` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

23.0ms	(* (fma z (- 1.0 y) 1.0) (- 1.0 (* (- 1.0 y) z)))
26.0ms	(* (* (fma z (- 1.0 y) 1.0) (- 1.0 (* (- 1.0 y) z))) x)
50.0ms	(/ (* (* (fma z (- 1.0 y) 1.0) (- 1.0 (* (- 1.0 y) z))) x) (+ 1.0 (* (- 1.0 y) z)))

series358.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(* (fma z (- 1.0 y) 1.0) (- 1.0 (* (- 1.0 y) z)))
96.0ms	(* (* (fma z (- 1.0 y) 1.0) (- 1.0 (* (- 1.0 y) z))) x)
170.0ms	(/ (* (* (fma z (- 1.0 y) 1.0) (- 1.0 (* (- 1.0 y) z))) x) (+ 1.0 (* (- 1.0 y) z)))

simplify2.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	4063
1	461
0	169

prune525.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes364.0ms

Accuracy

38.7% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.6b

bsearch100.0ms

Steps

Iters	Range		Point
8	5.463991452275174e-148	3.080469255526081e-145	7.11187704565144e-147
6	-5.876997172477371e-121	-8.006740770585879e-122	-1.044720147495815e-121

simplify12.0ms

Iterations

Iter	Nodes
done	48
3	48
2	44
1	36
0	23

end0.0ms

sample730.0ms

Algorithm

intervals

Results

472.0ms

10171×

body

valid