Details

sample26.0ms

Algorithm

intervals

Results

10.0ms

331×

body

valid

simplify588.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1323
4	372
3	113
2	44
1	22
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
10.0b	(/ (* x (+ (- y z) 1.0)) z)

rewrite135.0ms

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×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `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 → 47

Calls

2 calls:

89.0ms	(* x (+ (- y z) 1.0))
45.0ms	(/ (* x (+ (- y z) 1.0)) z)

series101.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* x (+ (- y z) 1.0))
56.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify1.3s

Counts

53 → 53

Iterations

Iter	Nodes
done	5001
2	1245
1	272
0	94

prune246.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.4b	(/ x (/ z (+ (- y z) 1.0)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

30.0ms	(/ z (+ (- y z) 1.0))
34.0ms	(/ x (/ z (+ (- y z) 1.0)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(/ z (+ (- y z) 1.0))
55.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify1.3s

Counts

145 → 145

Iterations

Iter	Nodes
done	5001
2	2565
1	522
0	200

prune763.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x y) z) (* 1.0 (/ x z)))
0.0b	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
6.8b	(/ (* x y) z)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt`
3×	`pow1` `associate-/r*` `times-frac`
2×	`cbrt-undiv` `sum-log` `diff-log` `div-exp`
1×	`+-commutative` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `frac-add` `prod-exp` `associate--l+` `associate-r/` `cbrt-unprod` `flip-+` `div-inv` `flip--` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 49

Calls

3 calls:

12.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
77.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
8.0ms	(/ (* x y) z)

series119.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
44.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
24.0ms	(/ (* x y) z)

simplify1.1s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
2	1308
1	273
0	99

prune313.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ x z) y) (* 1.0 (/ x z)))
0.0b	(- (+ (* (/ x z) y) (* 1.0 (/ x z))) x)
3.7b	(* (/ x z) y)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-l*`
11×	`add-cube-cbrt`
10×	`times-frac` `add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`associate-r`
2×	`sum-log` `diff-log` `associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3-+` `flip3--` `div-exp` `pow-prod-down` `frac-add` `associate--l+` `associate-r/` `-commutative` `flip-+` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 60

Calls

3 calls:

11.0ms	(+ (* (/ x z) y) (* 1.0 (/ x z)))
61.0ms	(- (+ (* (/ x z) y) (* 1.0 (/ x z))) x)
20.0ms	(* (/ x z) y)

series151.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ (* (/ x z) y) (* 1.0 (/ x z)))
50.0ms	(- (+ (* (/ x z) y) (* 1.0 (/ x z))) x)
27.0ms	(* (/ x z) y)

simplify1.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
2	1521
1	304
0	118

prune364.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes241.0ms

Accuracy

92.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch89.0ms

Steps

Iters	Range		Point
7	1.4631997939478662e-73	1.1482561294715716e-71	3.1535422696806213e-72
8	-5.091171567983126e-100	-9.210952666639944e-105	-1.7317453961394377e-102

simplify5.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample970.0ms

Algorithm

intervals

Results

524.0ms

10133×

body

valid