Details

sample79.0ms

Algorithm

intervals

Results

35.0ms

498×

body

valid

simplify150.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.3b	(* (* x 18.0) y)
3.5b	(* (* (* x 18.0) y) z)
4.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

17.0ms	(* (* j 27.0) k)
17.0ms	(* (* x 18.0) y)
51.0ms	(* (* (* x 18.0) y) z)
205.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* j 27.0) k)
19.0ms	(* (* x 18.0) y)
29.0ms	(* (* (* x 18.0) y) z)
107.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	406	472
1	2141	393
2	5001	393

prune339.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

localize30.0ms

Local error

Found 4 expressions with local error:

4.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
9.4b	(cbrt (* (* j 27.0) k))
9.4b	(cbrt (* (* j 27.0) k))
9.4b	(cbrt (* (* j 27.0) k))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 51

Calls

4 calls:

205.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
12.0ms	(cbrt (* (* j 27.0) k))
12.0ms	(cbrt (* (* j 27.0) k))
12.0ms	(cbrt (* (* j 27.0) k))

series391.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
94.0ms	(cbrt (* (* j 27.0) k))
95.0ms	(cbrt (* (* j 27.0) k))
96.0ms	(cbrt (* (* j 27.0) k))

simplify160.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	249	426
1	897	377
2	4340	353
3	5002	353

prune366.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x 18.0) y)
0.4b	(* j (* 27.0 k))
3.5b	(* (* (* x 18.0) y) z)
4.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

17.0ms	(* (* x 18.0) y)
15.0ms	(* j (* 27.0 k))
52.0ms	(* (* (* x 18.0) y) z)
204.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
29.0ms	(* (* (* x 18.0) y) z)
106.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	398	471
1	2030	392
2	5001	392

prune338.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.2b

localize31.0ms

Local error

Found 4 expressions with local error:

4.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.9b	(cbrt (* t (- (* (* (* x 18.0) y) z) (* a 4.0))))
4.9b	(cbrt (* t (- (* (* (* x 18.0) y) z) (* a 4.0))))
4.9b	(cbrt (* t (- (* (* (* x 18.0) y) z) (* a 4.0))))

rewrite410.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

201.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
69.0ms	(cbrt (* t (- (* (* (* x 18.0) y) z) (* a 4.0))))
68.0ms	(cbrt (* t (- (* (* (* x 18.0) y) z) (* a 4.0))))
70.0ms	(cbrt (* t (- (* (* (* x 18.0) y) z) (* a 4.0))))

series730.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
209.0ms	(cbrt (* t (- (* (* (* x 18.0) y) z) (* a 4.0))))
194.0ms	(cbrt (* t (- (* (* (* x 18.0) y) z) (* a 4.0))))
204.0ms	(cbrt (* t (- (* (* (* x 18.0) y) z) (* a 4.0))))

simplify52.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	286	744
1	1134	671
2	5002	665

prune416.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 2.2b

regimes1.3s

Accuracy

40.3% (2.2b remaining)

Error of 4.2b against oracle of 2.0b and baseline of 5.7b

bsearch112.0ms

Steps

Iters	Range		Point
6	5.709923882411486e-121	3.939585198432468e-120	8.244554571449029e-121
2	-7.983123365808197e-93	-7.335944495100085e-93	-7.520011916688034e-93

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	25
1	72	25
2	75	25
3	75	25

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.0s

16109×

body

valid