Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

322×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1516
4	404
3	119
2	46
1	22
0	8

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
9.3b	(/ (* x (+ (- y z) 1.0)) z)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

96.0ms	(* x (+ (- y z) 1.0))
39.0ms	(/ (* x (+ (- y z) 1.0)) z)

series157.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* x (+ (- y z) 1.0))
90.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify1.0s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
2	1306
1	280
0	98

prune337.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

1.4b	(fma (/ x z) y (- (/ (* x 1.0) z) x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series90.0ms

Counts

1 → 3

Calls

1 calls:

90.0ms

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

simplify3.2s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	4714
3	503
2	112
1	41
0	24

prune66.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* (+ y 1.0) (/ x z)) x)) (cbrt (- (* (+ y 1.0) (/ x z)) x)))
3.0b	(* (+ y 1.0) (/ x z))
3.0b	(* (+ y 1.0) (/ x z))
3.0b	(* (+ y 1.0) (/ x z))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
45×	`associate-r`
42×	`*-un-lft-identity`
36×	`add-cube-cbrt`
30×	`times-frac`
21×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-l`
17×	`pow1`
16×	`cbrt-prod`
12×	`cbrt-div`
10×	`frac-times` `unswap-sqr`
8×	`associate-*l/`
7×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip3--` `pow1/3` `swap-sqr` `flip-+` `flip--`
5×	`pow-prod-down` `associate-*r/`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `div-inv` `distribute-lft-out`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 167

Calls

4 calls:

139.0ms	(* (cbrt (- (* (+ y 1.0) (/ x z)) x)) (cbrt (- (* (+ y 1.0) (/ x z)) x)))
39.0ms	(* (+ y 1.0) (/ x z))
33.0ms	(* (+ y 1.0) (/ x z))
42.0ms	(* (+ y 1.0) (/ x z))

series537.0ms

Counts

4 → 12

Calls

4 calls:

333.0ms	(* (cbrt (- (* (+ y 1.0) (/ x z)) x)) (cbrt (- (* (+ y 1.0) (/ x z)) x)))
69.0ms	(* (+ y 1.0) (/ x z))
75.0ms	(* (+ y 1.0) (/ x z))
59.0ms	(* (+ y 1.0) (/ x z))

simplify1.8s

Counts

179 → 179

Iterations

Iter	Nodes
done	5002
2	2566
1	536
0	215

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
158×	`*-un-lft-identity`
110×	`add-sqr-sqrt`
78×	`add-cube-cbrt`
32×	`distribute-lft-out--`
30×	`associate-/r*`
16×	`distribute-lft-out` `difference-of-squares`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`

Counts

2 → 159

Calls

2 calls:

40.0ms	(/ z (- (+ 1.0 y) z))
43.0ms	(/ x (/ z (- (+ 1.0 y) z)))

series179.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(/ z (- (+ 1.0 y) z))
83.0ms	(/ x (/ z (- (+ 1.0 y) z)))

simplify1.4s

Counts

165 → 165

Iterations

Iter	Nodes
done	5000
2	3321
1	614
0	234

prune798.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes392.0ms

Accuracy

93% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch88.0ms

Steps

Iters	Range		Point
6	6.189379126574804e+17	8.446000881204414e+18	1.201898336259837e+18
5	-13147460999.383293	-3658128597.9917617	-5596220615.762753

simplify5.0ms

Iterations

Iter	Nodes
done	27
1	27
0	23

end0.0ms

sample1.2s

Algorithm

intervals

Results

555.0ms

10107×

body

valid