Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

348×

body

valid

simplify155.0ms

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: 2.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
8.3b	(* (/ x y) (- z t))

rewrite49.0ms

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

series77.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (/ x y) (- z t)) t)
45.0ms	(* (/ 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

prune119.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

1.6b	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
11.4b	(cbrt (/ x y))
11.4b	(cbrt (/ x y))
11.4b	(cbrt (/ x y))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod` `cbrt-div`
29×	`frac-times`
27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`associate-*r/`
16×	`pow1` `add-exp-log`
13×	`associate-*l/`
10×	`add-cbrt-cube`
8×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`sub-neg` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 119

Calls

4 calls:

75.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series234.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
59.0ms	(cbrt (/ x y))
77.0ms	(cbrt (/ x y))
53.0ms	(cbrt (/ x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	478	1197
1	1553	1009
2	5001	890

prune326.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 y))
1.6b	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (* (cbrt x) (cbrt (/ 1 y))) (- z t)))
11.4b	(cbrt (/ x y))
11.4b	(cbrt (/ x y))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod` `cbrt-div`
31×	`associate-*r/`
29×	`frac-times`
27×	`times-frac`
25×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
13×	`associate-*l/`
8×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--`
4×	`sub-neg` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 125

Calls

4 calls:

3.0ms	(cbrt (/ 1 y))
135.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (* (cbrt x) (cbrt (/ 1 y))) (- z t)))
2.0ms	(cbrt (/ x y))
3.0ms	(cbrt (/ x y))

series411.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (/ 1 y))
118.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (* (cbrt x) (cbrt (/ 1 y))) (- z t)))
57.0ms	(cbrt (/ x y))
63.0ms	(cbrt (/ x y))

simplify73.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	642	1433
1	2543	1285
2	5001	1261

prune410.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (/ (* x z) y) (/ (* t x) y)) t)
0.0b	(- (/ (* x z) y) (/ (* t x) y))
6.7b	(/ (* x z) y)
7.1b	(/ (* t x) y)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`times-frac` `associate-/r*`
4×	`pow1` `cbrt-undiv` `div-exp` `div-inv`
2×	`sub-neg` `associate-+l+` `frac-2neg` `diff-log` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `distribute-lft-out` `associate-/l*` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3--` `distribute-rgt-out--` `flip3-+` `frac-sub` `flip--` `flip-+` `sub-div` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

92.0ms	(+ (- (/ (* x z) y) (/ (* t x) y)) t)
22.0ms	(- (/ (* x z) y) (/ (* t x) y))
10.0ms	(/ (* x z) y)
11.0ms	(/ (* t x) y)

series111.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (- (/ (* x z) y) (/ (* t x) y)) t)
41.0ms	(- (/ (* x z) y) (/ (* t x) y))
20.0ms	(/ (* x z) y)
18.0ms	(/ (* t x) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	331	474
1	1523	437
2	5001	436

prune194.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes195.0ms

Accuracy

40.6% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.2b

bsearch53.0ms

Steps

Iters	Range		Point
7	2.008912176728533e+28	7.194805236116467e+29	2.083416514538682e+29
5	-10001439636792.152	-3909246627090.811	-4329597223011.1406

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	21
1	39	21

end0.0ms

sample632.0ms

Algorithm

intervals

Results

261.0ms

10668×

body

valid