Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

337×

body

valid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	31	4
2	57	4
3	91	4
4	117	4
5	136	4
6	158	4
7	212	4
8	421	4
9	880	4
10	1752	4
11	3021	4
12	4541	4
13	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
6.1b	(* (/ x y) (- z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

7.0ms	(+ (* (/ x y) (- z t)) t)
15.0ms	(* (/ x y) (- z t))

series83.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* (/ x y) (- z t)) t)
52.0ms	(* (/ x y) (- z t))

simplify34.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	314	342
1	1191	302
2	5002	302

prune120.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
3.0b	(* (/ (cbrt x) y) (- z t))
3.4b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
32×	`add-sqr-sqrt`
29×	`associate-l`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`add-cube-cbrt`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `flip3--` `1-exp` `associate-r` `flip--`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 135

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
20.0ms	(* (/ (cbrt x) y) (- z t))
32.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

series618.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt x)
181.0ms	(cbrt x)
168.0ms	(* (/ (cbrt x) y) (- z t))
85.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

simplify93.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	689	1166
1	3520	902
2	5001	763

prune313.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
3.0b	(* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) y) (- z t))
3.4b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) y) (- z t)))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

138×	`add-exp-log`
77×	`prod-exp`
67×	`add-cbrt-cube`
48×	`cbrt-unprod`
38×	`div-exp`
22×	`cbrt-undiv`
15×	`add-sqr-sqrt`
14×	`associate-l`
13×	`*-un-lft-identity`
11×	`pow1` `frac-times` `add-cube-cbrt` `associate-*r/`
10×	`distribute-rgt-in` `distribute-lft-in` `1-exp`
6×	`cbrt-prod` `sub-neg` `flip3--` `times-frac` `associate-r` `flip--`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

0.0ms	(cbrt x)
1.0ms	(cbrt x)
68.0ms	(* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) y) (- z t))
193.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) y) (- z t)))

series633.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt x)
190.0ms	(cbrt x)
173.0ms	(* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) y) (- z t))
87.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) y) (- z t)))

simplify117.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	815	2405
1	4319	1447
2	5001	1111

prune342.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (/ z y) x) (* (/ (- t) y) x)) t)
0.0b	(+ (* (/ z y) x) (* (/ (- t) y) x))
5.4b	(* (/ z y) x)
6.8b	(* (/ (- t) y) x)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

47×	`associate-l`
43×	`add-sqr-sqrt`
41×	`times-frac`
35×	`*-un-lft-identity`
33×	`add-cube-cbrt`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
9×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
8×	`pow1`
6×	`associate-r`
5×	`distribute-lft-neg-out` `distribute-frac-neg`
4×	`associate-*l/` `prod-exp` `sum-log` `cbrt-unprod` `unswap-sqr`
3×	`neg-mul-1`
2×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3-+` `div-exp` `unsub-neg` `pow-prod-down` `*-commutative` `flip-+` `div-inv`
1×	`associate-+l+` `distribute-rgt-out` `frac-add` `distribute-lft-out`

Counts

4 → 117

Calls

4 calls:

24.0ms	(+ (+ (* (/ z y) x) (* (/ (- t) y) x)) t)
4.0ms	(+ (* (/ z y) x) (* (/ (- t) y) x))
8.0ms	(* (/ z y) x)
15.0ms	(* (/ (- t) y) x)

series112.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ (* (/ z y) x) (* (/ (- t) y) x)) t)
42.0ms	(+ (* (/ z y) x) (* (/ (- t) y) x))
18.0ms	(* (/ z y) x)
24.0ms	(* (/ (- t) y) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	522	671
1	1969	613
2	5001	599

prune309.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes176.0ms

Accuracy

-4.1% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.9b

bsearch91.0ms

Steps

Iters	Range		Point
11	6.438687156976213e-62	2.6233719707917346e-42	8.465391618761927e-56
7	7.451969605269513e-285	8.967350983340828e-283	1.9303930253189972e-284

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	11
1	36	11
2	39	11
3	39	11

end0.0ms

sample809.0ms

Algorithm

intervals

Results

541.0ms

10530×

body

valid