Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

349×

body

valid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 2.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
6.0b	(* (/ x y) (- z t))

rewrite18.0ms

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)
9.0ms	(* (/ x y) (- z t))

series84.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* (/ x y) (- z t)) t)
53.0ms	(* (/ x y) (- z t))

simplify35.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (8.0ms)

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

prune138.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ x y) z) (* (/ x y) (- t)))
0.0b	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
4.0b	(* (/ x y) (- t))
4.7b	(* (/ x y) z)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`associate-l`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
11×	`add-log-exp`
8×	`pow1`
5×	`distribute-rgt-neg-out`
4×	`associate-*l/` `prod-exp` `sum-log` `cbrt-unprod` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3-+` `div-exp` `unsub-neg` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `distribute-lft-out`
1×	`neg-mul-1` `associate-+l+` `frac-add`

Counts

4 → 103

Calls

4 calls:

6.0ms	(+ (* (/ x y) z) (* (/ x y) (- t)))
8.0ms	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
8.0ms	(* (/ x y) (- t))
6.0ms	(* (/ x y) z)

series123.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* (/ x y) z) (* (/ x y) (- t)))
35.0ms	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
22.0ms	(* (/ x y) (- t))
21.0ms	(* (/ x y) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	481	608
1	2207	531
2	5002	529

prune275.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

4.0b	(* (/ x y) (- t))
4.7b	(* (/ x y) z)
4.7b	(* (/ x y) z)
4.7b	(* (/ x y) z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
52×	`associate-l`
40×	`times-frac`
38×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
12×	`pow1`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 136

Calls

4 calls:

8.0ms	(* (/ x y) (- t))
6.0ms	(* (/ x y) z)
7.0ms	(* (/ x y) z)
6.0ms	(* (/ x y) z)

series86.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (/ x y) (- t))
20.0ms	(* (/ x y) z)
20.0ms	(* (/ x y) z)
24.0ms	(* (/ x y) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	334	574
1	1382	514
2	5001	513

prune468.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
2.2b	(* (/ (cbrt x) y) (- z t))
4.5b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

rewrite36.0ms

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
10.0ms	(* (/ (cbrt x) y) (- z t))
14.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

series613.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt x)
188.0ms	(cbrt x)
157.0ms	(* (/ (cbrt x) y) (- z t))
84.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

simplify88.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (77.0ms)

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

prune336.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes197.0ms

Accuracy

-6.8% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.1b

bsearch49.0ms

Steps

Iters	Range		Point
3	-7.174501478461658e-264	-5.349091609446185e-264	-5.91953219351352e-264
9	-1.0649830446260068e-17	-4.441630182910423e-25	-2.6191547899770663e-19

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	11
1	35	11
2	38	11
3	38	11

end0.0ms

sample544.0ms

Algorithm

intervals

Results

290.0ms

10687×

body

valid