Details

sample205.0ms

Algorithm

intervals

Results

179.0ms

691×

body

valid

simplify171.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

170.0ms

(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* b b) (- 1 (* 3 a)))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.1b	(* (* a a) (+ 1 a))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`fma-def`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
6×	`unpow-prod-down` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow`
2×	`associate-+r+` `sub-neg` `flip3-+` `associate-l` `*-commutative` `flip-+` `unpow2` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3--` `pow-exp` `flip--` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

Slowest

98.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
39.0ms	(* (* a a) (+ 1 a))
34.0ms	(* (* b b) (- 1 (* 3 a)))
9.0ms	(pow (+ (* a a) (* b b)) 2)

series324.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

134.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
85.0ms	(* (* b b) (- 1 (* 3 a)))
62.0ms	(* (* a a) (+ 1 a))
42.0ms	(pow (+ (* a a) (* b b)) 2)

simplify7.7s

Counts

68 → 118

Calls

68 calls:

Slowest

323.0ms	(* (* (* b b) (- 1 (* 3 a))) 4)
308.0ms	(* (* b b) (- 1 (* 3 a)))
307.0ms	(* (* b b) (- 1 (* 3 a)))
289.0ms	(- (pow b 2) (* 3 (* a (pow b 2))))
285.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* b b) (- 1 (* 3 a)))
0.2b	(* (* a a) (* a a))
0.2b	(* b (fma b b (* 2 (* a a))))
0.1b	(fma b (* b (fma b b (* 2 (* a a)))) (* (* a a) (* a a)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

122×	`pow1`
36×	`pow-prod-up`
27×	`pow-prod-down`
23×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
13×	`pow2`
12×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `prod-diff`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `fma-udef` `unswap-sqr`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `swap-sqr` `flip--`

Counts

4 → 134

Calls

4 calls:

Slowest

48.0ms	(* (* a a) (* a a))
23.0ms	(* (* b b) (- 1 (* 3 a)))
11.0ms	(* b (fma b b (* 2 (* a a))))
1.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (* (* a a) (* a a)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

121.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (* (* a a) (* a a)))
80.0ms	(* b (fma b b (* 2 (* a a))))
80.0ms	(* (* b b) (- 1 (* 3 a)))
49.0ms	(* (* a a) (* a a))

simplify8.7s

Counts

114 → 146

Calls

114 calls:

Slowest

854.0ms	(* (* (* b b) b) (* (* (fma b b (* 2 (* a a))) (fma b b (* 2 (* a a)))) (fma b b (* 2 (* a a)))))
592.0ms	(* (fma (- a) 3 (* a 3)) (* b b))
406.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (* a a) (* a a)) (* a a)))
344.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))
343.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (* a a) a) (* (* a a) a)))

prune2.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* b b) (- 1 (* 3 a)))
0.2b	(* b (fma b b (* 2 (* a a))))
0.1b	(fma b (* b (fma b b (* 2 (* a a)))) (pow a 4))
0.1b	(* (* a a) (+ 1 a))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`associate-r` `add-cube-cbrt`
7×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`prod-diff`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `fma-udef` `unswap-sqr`
2×	`sub-neg`
1×	`flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out`

Counts

4 → 95

Calls

4 calls:

Slowest

46.0ms	(* (* b b) (- 1 (* 3 a)))
36.0ms	(* (* a a) (+ 1 a))
6.0ms	(* b (fma b b (* 2 (* a a))))
0.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (pow a 4))

series352.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

124.0ms	(fma b (* b (fma b b (* 2 (* a a)))) (pow a 4))
91.0ms	(* b (fma b b (* 2 (* a a))))
77.0ms	(* (* a a) (+ 1 a))
60.0ms	(* (* b b) (- 1 (* 3 a)))

simplify7.2s

Counts

63 → 107

Calls

63 calls:

Slowest

963.0ms	(* (* (* b b) b) (* (* (fma b b (* 2 (* a a))) (fma b b (* 2 (* a a)))) (fma b b (* 2 (* a a)))))
314.0ms	(- (pow b 2) (* 3 (* a (pow b 2))))
307.0ms	(* (* b b) (- 1 (* 3 a)))
285.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))
276.0ms	(* (* b b) (- 1 (* 3 a)))

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize121.0ms

Local error

Found 4 expressions with local error:

17.5b	(cbrt (* (* (* (* a a) (* a a)) (* a a)) (* (* (* a a) (* a a)) (* a a))))
0.3b	(* (* b b) (- 1 (* 3 a)))
0.2b	(* (* a a) (* a a))
0.2b	(* (* a a) (* a a))

rewrite866.0ms

Algorithm

rewrite-expression-head

Rules

231×	`pow1`
72×	`pow-prod-up`
50×	`pow-prod-down`
44×	`pow-sqr`
36×	`pow-plus`
33×	`add-cbrt-cube` `add-exp-log`
26×	`pow2`
19×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative` `unswap-sqr`
2×	`sub-neg` `swap-sqr` `pow3` `associate-*r/`
1×	`cbrt-prod` `flip3--` `pow1/3` `rem-cbrt-cube` `flip--`

Counts

4 → 179

Calls

4 calls:

Slowest

715.0ms	(cbrt (* (* (* (* a a) (* a a)) (* a a)) (* (* (* a a) (* a a)) (* a a))))
51.0ms	(* (* b b) (- 1 (* 3 a)))
47.0ms	(* (* a a) (* a a))
47.0ms	(* (* a a) (* a a))

series219.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(* (* b b) (- 1 (* 3 a)))
57.0ms	(cbrt (* (* (* (* a a) (* a a)) (* a a)) (* (* (* a a) (* a a)) (* a a))))
56.0ms	(* (* a a) (* a a))
35.0ms	(* (* a a) (* a a))

simplify7.6s

Counts

171 → 191

Calls

171 calls:

Slowest

395.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (* a a) (* a a)) (* a a)))
372.0ms	(* (* b b) (- 1 (* 3 a)))
367.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (* a a) a) (* (* a a) a)))
364.0ms	(* (* (* (* a a) a) (* (* a a) a)) (* (* (* a a) (* a a)) (* a a)))
363.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (* a a) (* a a)) (* a a)))

prune3.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes316.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample5.8s

Algorithm

intervals

Results

5.3s

20692×

body

valid