Details

sample38.0ms

Algorithm

intervals

Results

17.0ms

417×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	10
1	112	10
2	384	10
3	1568	10
4	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b	(* (- y 1.0) z)
0.0b	(* (- (+ y t) 2.0) b)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*l/`
22×	`add-sqr-sqrt`
19×	`flip3--` `*-un-lft-identity` `flip--`
16×	`associate-l`
13×	`add-log-exp`
12×	`frac-add`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-r`
8×	`frac-sub`
4×	`associate-+l+` `distribute-lft-out--`
3×	`diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `associate--l+`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 97

Calls

4 calls:

10.0ms	(* (- t 1.0) a)
61.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
10.0ms	(* (- y 1.0) z)
53.0ms	(* (- (+ y t) 2.0) b)

series249.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- t 1.0) a)
158.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
29.0ms	(* (- y 1.0) z)
32.0ms	(* (- (+ y t) 2.0) b)

simplify109.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	886	1273
1	4545	1219
2	5001	1219

prune381.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- x (/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b	(* (- (+ y t) 2.0) b)
2.4b	(* (- (* y y) (* 1.0 1.0)) z)
4.9b	(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

rewrite412.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

332.0ms	(+ (- (- x (/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
56.0ms	(* (- (+ y t) 2.0) b)
10.0ms	(* (- (* y y) (* 1.0 1.0)) z)
10.0ms	(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

series340.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(+ (- (- x (/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
26.0ms	(* (- (+ y t) 2.0) b)
46.0ms	(* (- (* y y) (* 1.0 1.0)) z)
60.0ms	(/ (* (- (* y y) (* 1.0 1.0)) z) (+ y 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1013	1868
1	5001	1776

prune444.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y 1.0) z)
0.0b	(* (- (+ y t) 2.0) b)
0.0b	(* (- t 1.0) (sqrt a))
0.2b	(* (* (- t 1.0) (sqrt a)) (sqrt a))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`associate-r`
17×	`associate-l`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`add-cube-cbrt`
10×	`associate-*l/`
7×	`sqrt-prod`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`flip3--` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `unswap-sqr`
3×	`difference-of-squares`
1×	`distribute-lft-out`

Counts

4 → 94

Calls

4 calls:

11.0ms	(* (- y 1.0) z)
53.0ms	(* (- (+ y t) 2.0) b)
15.0ms	(* (- t 1.0) (sqrt a))
20.0ms	(* (* (- t 1.0) (sqrt a)) (sqrt a))

series145.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- y 1.0) z)
32.0ms	(* (- (+ y t) 2.0) b)
44.0ms	(* (- t 1.0) (sqrt a))
40.0ms	(* (* (- t 1.0) (sqrt a)) (sqrt a))

simplify48.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	430	515
1	1792	433
2	5002	429

prune308.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* t (- b a))
0.0b	(+ (* t (- b a)) (* y b))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+l+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

10.0ms	(* t (- b a))
5.0ms	(+ (* t (- b a)) (* y b))

series70.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* t (- b a))
35.0ms	(+ (* t (- b a)) (* y b))

simplify87.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	197	208
1	746	185
2	3052	184
3	5001	184

prune89.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes317.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample959.0ms

Algorithm

intervals

Results

536.0ms	12466×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid