Details

sample118.0ms

Algorithm

intervals

Results

84.0ms

569×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* i a))
5.1b	(* x (- (* y z) (* t a)))
6.2b	(* j (- (* c t) (* i y)))
7.2b	(* b (- (* c z) (* i a)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

2.0ms	(- (* c z) (* i a))
10.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* j (- (* c t) (* i y)))
10.0ms	(* b (- (* c z) (* i a)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* c z) (* i a))
67.0ms	(* x (- (* y z) (* t a)))
62.0ms	(* j (- (* c t) (* i y)))
67.0ms	(* b (- (* c z) (* i a)))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	425	552
1	1771	485
2	5002	485

prune399.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 10.9b

localize24.0ms

Local error

Found 4 expressions with local error:

6.5b	(cbrt (* j (- (* c t) (* i y))))
6.5b	(cbrt (* j (- (* c t) (* i y))))
6.5b	(cbrt (* j (- (* c t) (* i y))))
7.2b	(* b (- (* c z) (* i a)))

rewrite26.0ms

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:

4.0ms	(cbrt (* j (- (* c t) (* i y))))
4.0ms	(cbrt (* j (- (* c t) (* i y))))
4.0ms	(cbrt (* j (- (* c t) (* i y))))
10.0ms	(* b (- (* c z) (* i a)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (* j (- (* c t) (* i y))))
131.0ms	(cbrt (* j (- (* c t) (* i y))))
136.0ms	(cbrt (* j (- (* c t) (* i y))))
62.0ms	(* b (- (* c z) (* i a)))

simplify103.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	312	542
1	1097	489
2	4133	480
3	5002	477

prune443.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.9b

localize29.0ms

Local error

Found 4 expressions with local error:

2.8b	(* (cbrt j) (- (* c t) (* i y)))
3.6b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
5.1b	(* x (- (* y z) (* t a)))
7.2b	(* b (- (* c z) (* i a)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

11.0ms	(* (cbrt j) (- (* c t) (* i y)))
26.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
10.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* b (- (* c z) (* i a)))

series508.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt j) (- (* c t) (* i y)))
101.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
70.0ms	(* x (- (* y z) (* t a)))
68.0ms	(* b (- (* c z) (* i a)))

simplify76.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	576	966
1	2591	762
2	5002	699

prune527.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 9.0b

localize30.0ms

Local error

Found 4 expressions with local error:

7.2b	(* b (* (* (cbrt (- (* c z) (* i a))) (cbrt (- (* c z) (* i a)))) (cbrt (- (* c z) (* i a)))))
8.5b	(cbrt (- (* c z) (* i a)))
8.5b	(cbrt (- (* c z) (* i a)))
8.5b	(cbrt (- (* c z) (* i a)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 86

Calls

4 calls:

105.0ms	(* b (* (* (cbrt (- (* c z) (* i a))) (cbrt (- (* c z) (* i a)))) (cbrt (- (* c z) (* i a)))))
2.0ms	(cbrt (- (* c z) (* i a)))
2.0ms	(cbrt (- (* c z) (* i a)))
3.0ms	(cbrt (- (* c z) (* i a)))

series411.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* b (* (* (cbrt (- (* c z) (* i a))) (cbrt (- (* c z) (* i a)))) (cbrt (- (* c z) (* i a)))))
118.0ms	(cbrt (- (* c z) (* i a)))
114.0ms	(cbrt (- (* c z) (* i a)))
117.0ms	(cbrt (- (* c z) (* i a)))

simplify99.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	438	1393
1	1147	1263
2	3744	1156
3	5002	1151

prune495.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 9.0b

regimes1.4s

Accuracy

29.2% (3.6b remaining)

Error of 11.3b against oracle of 7.7b and baseline of 12.8b

bsearch173.0ms

Steps

Iters	Range		Point
6	6.900827181018266e-42	3.51565440839633e-41	1.172141364990428e-41
4	-1.5034349206416147e-70	-8.921736881551108e-71	-1.2754224402772517e-70

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	35
1	66	35
2	73	35
3	73	35

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.8s

19044×

body

valid