Details

sample187.0ms

Algorithm

intervals

Results

69.0ms	675×	body	80	nan
42.0ms	612×	body	80	valid

simplify74.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(exp (/ (* t t) 2.0))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`exp-prod` `associate-r`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-l` `pow-prod-down`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `div-inv`
1×	`frac-2neg` `clear-num` `sqrt-prod` `rem-exp-log` `associate-/l*` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

12.0ms	(/ (* t t) 2.0)
10.0ms	(exp (/ (* t t) 2.0))
167.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
88.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* t t) 2.0)
22.0ms	(exp (/ (* t t) 2.0))
189.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
127.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify51.0ms

Counts: 89 → 89

prune396.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (exp t) (/ t 2.0))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
11×	`associate-r`
10×	`prod-exp` `add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `unpow-prod-down` `associate-*l/`
4×	`pow-pow` `associate-l` `cbrt-unprod`
3×	`pow-to-exp` `exp-prod` `pow-exp` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

7.0ms	(pow (exp t) (/ t 2.0))
129.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
44.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series788.0ms

Counts

3 → 9

Calls

3 calls:

385.0ms	(pow (exp t) (/ t 2.0))
254.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
149.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify60.0ms

Counts: 86 → 86

prune410.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp t) (/ t 2.0))
0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.5b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
24×	`add-sqr-sqrt`
22×	`prod-exp`
20×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
19×	`associate-r`
13×	`pow-unpow`
12×	`pow1` `associate-*l/`
10×	`cbrt-unprod`
9×	`times-frac`
7×	`sqrt-prod`
6×	`unpow-prod-down`
5×	`associate-l`
4×	`pow-to-exp` `pow-pow` `pow-prod-down` `pow-exp` `add-log-exp`
3×	`exp-prod` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr` `sqr-pow`
1×	`div-inv`

Counts

4 → 107

Calls

4 calls:

7.0ms	(pow (exp t) (/ t 2.0))
187.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
44.0ms	(* (- (* x 0.5) y) (sqrt z))
90.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series534.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(pow (exp t) (/ t 2.0))
272.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
62.0ms	(* (- (* x 0.5) y) (sqrt z))
148.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify60.0ms

Counts: 119 → 119

prune456.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.3b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
0.3b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log`
40×	`prod-exp`
34×	`add-cbrt-cube`
31×	`associate-r`
22×	`sqrt-prod`
20×	`pow1` `associate-*l/` `cbrt-unprod`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down`
6×	`associate-l`
4×	`pow-to-exp` `flip3--` `pow-exp` `*-commutative` `flip--` `add-log-exp`
3×	`unpow-prod-down`
2×	`unswap-sqr`
1×	`sqr-pow`

Counts

4 → 113

Calls

4 calls:

697.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
35.0ms	(* (- (* x 0.5) y) (sqrt z))
82.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
264.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series671.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
62.0ms	(* (- (* x 0.5) y) (sqrt z))
198.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
162.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify74.0ms

Counts: 125 → 125

prune399.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes631.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify68.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.1s	18198×	body	80	nan
2.0s	18045×	body	80	valid