Details

sample40.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	33	10
1	79	10
2	210	10
3	483	10
4	910	10
5	1516	10
6	2818	10
7	5001	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.2b	(+ (* (+ x y) z) (* (+ t y) a))
3.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.6b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-l` `frac-add` `log1p-expm1-u`
3×	`fma-neg` `associate-r` `prod-diff` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `fma-def` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

10.0ms	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
39.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
84.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series862.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (+ x y) z)
56.0ms	(+ (* (+ x y) z) (* (+ t y) a))
110.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
672.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify95.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	568	1186
1	2526	1087
2	5001	1076

prune470.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 10.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.3b	(fma y (- a b) (* a t))
2.8b	(+ (* (+ x y) z) (fma y (- a b) (* a t)))
26.6b	(/ (+ (* (+ x y) z) (fma y (- a b) (* a t))) (+ (+ x t) y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u`
3×	`associate-r` `associate-/l*`
2×	`associate-*l/` `associate-/r/` `fma-udef` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r+` `fma-def` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

10.0ms	(* (+ x y) z)
0.0ms	(fma y (- a b) (* a t))
5.0ms	(+ (* (+ x y) z) (fma y (- a b) (* a t)))
33.0ms	(/ (+ (* (+ x y) z) (fma y (- a b) (* a t))) (+ (+ x t) y))

series474.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (+ x y) z)
35.0ms	(fma y (- a b) (* a t))
114.0ms	(+ (* (+ x y) z) (fma y (- a b) (* a t)))
300.0ms	(/ (+ (* (+ x y) z) (fma y (- a b) (* a t))) (+ (+ x t) y))

simplify60.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	334	876
1	1269	814
2	5002	814

prune359.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 10.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (+ (+ x t) y) (+ (* (+ x y) z) (fma y (- a b) (* a t)))))
1.3b	(fma y (- a b) (* a t))
2.8b	(+ (* (+ x y) z) (fma y (- a b) (* a t)))
26.6b	(/ (+ (+ x t) y) (+ (* (+ x y) z) (fma y (- a b) (* a t))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`div-exp` `associate-/l*`
7×	`flip3-+` `flip-+`
6×	`div-inv` `add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `fma-udef` `associate-/l/`
1×	`+-commutative` `associate-+r+` `pow-flip` `fma-def` `sum-log` `inv-pow`

Counts

4 → 176

Calls

4 calls:

30.0ms	(/ 1 (/ (+ (+ x t) y) (+ (* (+ x y) z) (fma y (- a b) (* a t)))))
0.0ms	(fma y (- a b) (* a t))
5.0ms	(+ (* (+ x y) z) (fma y (- a b) (* a t)))
45.0ms	(/ (+ (+ x t) y) (+ (* (+ x y) z) (fma y (- a b) (* a t))))

series937.0ms

Counts

4 → 12

Calls

4 calls:

664.0ms	(/ 1 (/ (+ (+ x t) y) (+ (* (+ x y) z) (fma y (- a b) (* a t)))))
40.0ms	(fma y (- a b) (* a t))
114.0ms	(+ (* (+ x y) z) (fma y (- a b) (* a t)))
118.0ms	(/ (+ (+ x t) y) (+ (* (+ x y) z) (fma y (- a b) (* a t))))

simplify89.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	509	2798
1	2311	2572
2	5001	2448

prune468.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.1b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.1b

regimes444.0ms

Accuracy

51.2% (11.6b remaining)

Error of 16.0b against oracle of 4.4b and baseline of 28.1b

bsearch138.0ms

Steps

Iters	Range		Point
9	1.301756110167667e+132	1.4581761209996442e+140	1.3202613471666877e+132
9	-2.4059559653057567e+84	-1.5530017370746384e+77	-1.9117574672565738e+83

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	11
1	33	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

790.0ms	7998×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid