Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

351×

body

valid

simplify116.0ms

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: 1.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
5.8b	(* (/ x y) (- z t))

rewrite48.0ms

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:

16.0ms	(+ (* (/ x y) (- z t)) t)
28.0ms	(* (/ x y) (- z t))

series73.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (* (/ x y) (- z t)) t)
44.0ms	(* (/ x y) (- z t))

simplify32.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (7.0ms)

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

prune123.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.8b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod` `frac-times` `associate-*r/`
8×	`distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
5×	`associate-l`
4×	`sub-neg` `flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`times-frac` `associate-r` `*-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
95.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series582.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt x)
167.0ms	(cbrt x)
178.0ms	(cbrt x)
48.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify78.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	590	1382
1	3215	872
2	5001	717

prune245.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

5.8b	(* (/ x y) (- z t))
7.2b	(cbrt (* (/ x y) (- z t)))
7.2b	(cbrt (* (/ x y) (- z t)))
7.2b	(cbrt (* (/ x y) (- z t)))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

235.0ms	(* (/ x y) (- z t))
10.0ms	(cbrt (* (/ x y) (- z t)))
10.0ms	(cbrt (* (/ x y) (- z t)))
11.0ms	(cbrt (* (/ x y) (- z t)))

series369.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (/ x y) (- z t))
108.0ms	(cbrt (* (/ x y) (- z t)))
108.0ms	(cbrt (* (/ x y) (- z t)))
109.0ms	(cbrt (* (/ x y) (- z t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	336	615
1	1217	560
2	5002	554

prune277.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (- z t))
0.0b	(+ (/ (* x (- z t)) y) t)
6.7b	(/ (* x (- z t)) y)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

22.0ms	(* x (- z t))
19.0ms	(+ (/ (* x (- z t)) y) t)
16.0ms	(/ (* x (- z t)) y)

series102.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* x (- z t))
29.0ms	(+ (/ (* x (- z t)) y) t)
41.0ms	(/ (* x (- z t)) y)

simplify33.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	288	331
1	1163	295
2	5001	283

prune106.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes135.0ms

Accuracy

15.1% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.2b

bsearch53.0ms

Steps

Iters	Range		Point
8	-1.7645536767299438e-177	-3.601221515835378e-182	-1.6743717251970545e-177
7	-2.0667419600713012e-82	-1.0129558747111824e-83	-1.329770551630262e-82

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	12
1	25	12

end0.0ms

sample612.0ms

Algorithm

intervals

Results

257.0ms

10607×

body

valid