Details

sample45.0ms

Algorithm

intervals

Results

18.0ms

437×

body

valid

simplify38.0ms

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

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

135.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
24.0ms	(* (- t 1.0) a)
6.0ms	(- x (* (- y 1.0) z))
107.0ms	(* (- (+ y t) 2.0) b)

series218.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
26.0ms	(* (- t 1.0) a)
27.0ms	(- x (* (- y 1.0) z))
25.0ms	(* (- (+ y t) 2.0) b)

simplify108.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	832	1265
1	4307	1216
2	5001	1216

prune332.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
22×	`*-un-lft-identity`
18×	`cbrt-prod`
16×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
10×	`add-cbrt-cube`
8×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
6×	`distribute-lft-out--`
4×	`add-log-exp`
3×	`pow1/3` `distribute-lft-out` `difference-of-squares`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 96

Calls

4 calls:

244.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
19.0ms	(cbrt (- (+ y t) 2.0))
17.0ms	(cbrt (- (+ y t) 2.0))
17.0ms	(cbrt (- (+ y t) 2.0))

series344.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
98.0ms	(cbrt (- (+ y t) 2.0))
101.0ms	(cbrt (- (+ y t) 2.0))
101.0ms	(cbrt (- (+ y t) 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	478	1498
1	1296	1311
2	5001	1243

prune377.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (cbrt (- (+ y t) 2.0)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-prod`
29×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
10×	`cbrt-div`
9×	`add-cube-cbrt`
8×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out` `add-log-exp` `difference-of-squares`

Counts

4 → 67

Calls

4 calls:

18.0ms	(cbrt (- (+ y t) 2.0))
17.0ms	(cbrt (- (+ y t) 2.0))
17.0ms	(cbrt (- (+ y t) 2.0))
21.0ms	(cbrt (cbrt (- (+ y t) 2.0)))

series452.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(cbrt (- (+ y t) 2.0))
100.0ms	(cbrt (- (+ y t) 2.0))
100.0ms	(cbrt (- (+ y t) 2.0))
149.0ms	(cbrt (cbrt (- (+ y t) 2.0)))

simplify79.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	317	639
1	800	604
2	2917	583
3	5001	583

prune417.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (- y 1.0) z))
0.0b	(* (- (+ y t) 2.0) b)
2.6b	(* (- (* t t) (* 1.0 1.0)) a)
6.3b	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

6.0ms	(- x (* (- y 1.0) z))
104.0ms	(* (- (+ y t) 2.0) b)
27.0ms	(* (- (* t t) (* 1.0 1.0)) a)
29.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

series137.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- x (* (- y 1.0) z))
23.0ms	(* (- (+ y t) 2.0) b)
40.0ms	(* (- (* t t) (* 1.0 1.0)) a)
50.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	474	593
1	2194	500
2	5002	492

prune281.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes339.0ms

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

sample1.2s

Algorithm

intervals

Results

528.0ms	12574×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid