Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

322×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2482	4
11	3774	4
12	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.6b	(* (- y x) (/ z t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

2.0ms	(+ x (* (- y x) (/ z t)))
15.0ms	(* (- y x) (/ z t))

series80.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* (- y x) (/ z t)))
45.0ms	(* (- y x) (/ z t))

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune129.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

7.6b	(* (- y x) (/ z t))
8.7b	(cbrt (* (- y x) (/ z t)))
8.7b	(cbrt (* (- y x) (/ z t)))
8.7b	(cbrt (* (- y x) (/ z t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`cbrt-div`
14×	`*-un-lft-identity`
13×	`associate-r`
12×	`add-cube-cbrt`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`pow1`
5×	`associate-l`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`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 → 80

Calls

4 calls:

15.0ms	(* (- y x) (/ z t))
5.0ms	(cbrt (* (- y x) (/ z t)))
5.0ms	(cbrt (* (- y x) (/ z t)))
5.0ms	(cbrt (* (- y x) (/ z t)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (- y x) (/ z t))
139.0ms	(cbrt (* (- y x) (/ z t)))
139.0ms	(cbrt (* (- y x) (/ z t)))
146.0ms	(cbrt (* (- y x) (/ z t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	375	683
1	1475	635
2	5002	623

prune338.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

7.6b	(* (- y x) (/ z t))
8.7b	(cbrt (* (- y x) (/ z t)))
8.7b	(cbrt (* (- y x) (/ z t)))
8.7b	(cbrt (* (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (cbrt z) (cbrt t))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-div`
19×	`add-sqr-sqrt`
15×	`frac-times` `associate-*l/`
14×	`*-un-lft-identity`
13×	`associate-r`
12×	`add-cube-cbrt`
10×	`flip3--` `times-frac` `flip--`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-*r/`
5×	`associate-l`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`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 → 86

Calls

4 calls:

17.0ms	(* (- y x) (/ z t))
5.0ms	(cbrt (* (- y x) (/ z t)))
5.0ms	(cbrt (* (- y x) (/ z t)))
84.0ms	(cbrt (* (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (cbrt z) (cbrt t))))

series464.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (- y x) (/ z t))
137.0ms	(cbrt (* (- y x) (/ z t)))
141.0ms	(cbrt (* (- y x) (/ z t)))
138.0ms	(cbrt (* (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (cbrt z) (cbrt t))))

simplify58.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	487	951
1	1910	883
2	5001	850

prune507.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

7.6b	(* (- y x) (/ z t))
7.6b	(* (- y x) (/ z t))
8.7b	(cbrt (* (- y x) (/ z t)))
8.7b	(cbrt (* (- y x) (/ z t)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
26×	`associate-r`
24×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
14×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-div` `associate-l`
8×	`pow1` `frac-times` `flip3--` `associate-*l/` `flip--`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `cbrt-prod` `pow1/3` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 104

Calls

4 calls:

15.0ms	(* (- y x) (/ z t))
15.0ms	(* (- y x) (/ z t))
8.0ms	(cbrt (* (- y x) (/ z t)))
5.0ms	(cbrt (* (- y x) (/ z t)))

series369.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- y x) (/ z t))
41.0ms	(* (- y x) (/ z t))
145.0ms	(cbrt (* (- y x) (/ z t)))
138.0ms	(cbrt (* (- y x) (/ z t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	375	742
1	1475	682
2	5002	666

prune535.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes271.0ms

Accuracy

-67.6% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	20
1	34	20

end0.0ms

sample525.0ms

Algorithm

intervals

Results

270.0ms

10635×

body

valid