Details

sample86.0ms

Algorithm

intervals

Results

38.0ms

623×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 11.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
3.8b	(* x (- (* y z) (* t a)))
4.0b	(* b (- (* c z) (* i a)))
5.8b	(* j (- (* c t) (* i y)))

rewrite88.0ms

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:

8.0ms	(- (* y z) (* t a))
28.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* b (- (* c z) (* i a)))
25.0ms	(* j (- (* c t) (* i y)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* y z) (* t a))
69.0ms	(* x (- (* y z) (* t a)))
73.0ms	(* b (- (* c z) (* i a)))
72.0ms	(* j (- (* c t) (* i y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

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

prune407.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 7.7b

localize24.0ms

Local error

Found 4 expressions with local error:

1.4b	(* (cbrt x) (- (* y z) (* t a)))
2.8b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.0b	(* b (- (* c z) (* i a)))
5.8b	(* j (- (* c t) (* i y)))

rewrite145.0ms

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:

28.0ms	(* (cbrt x) (- (* y z) (* t a)))
61.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
25.0ms	(* b (- (* c z) (* i a)))
28.0ms	(* j (- (* c t) (* i y)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(* (cbrt x) (- (* y z) (* t a)))
104.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
68.0ms	(* b (- (* c z) (* i a)))
73.0ms	(* j (- (* c t) (* i y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	571	968
1	2533	762
2	5003	699

prune509.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 7.7b

localize27.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (cbrt j) (- (* c t) (* i y)))
3.4b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
3.8b	(* x (- (* y z) (* t a)))
4.0b	(* b (- (* c z) (* i a)))

rewrite142.0ms

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:

28.0ms	(* (cbrt j) (- (* c t) (* i y)))
60.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
25.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* b (- (* c z) (* i a)))

series523.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(* (cbrt j) (- (* c t) (* i y)))
108.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
70.0ms	(* x (- (* y z) (* t a)))
71.0ms	(* b (- (* c z) (* i a)))

simplify79.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (65.0ms)

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

prune538.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 7.4b

localize25.0ms

Local error

Found 4 expressions with local error:

5.8b	(* j (- (* c t) (* i y)))
7.5b	(cbrt (* x (- (* y z) (* t a))))
7.5b	(cbrt (* x (- (* y z) (* t a))))
7.5b	(cbrt (* x (- (* y z) (* t a))))

rewrite59.0ms

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:

25.0ms	(* j (- (* c t) (* i y)))
12.0ms	(cbrt (* x (- (* y z) (* t a))))
10.0ms	(cbrt (* x (- (* y z) (* t a))))
10.0ms	(cbrt (* x (- (* y z) (* t a))))

series702.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* j (- (* c t) (* i y)))
334.0ms	(cbrt (* x (- (* y z) (* t a))))
150.0ms	(cbrt (* x (- (* y z) (* t a))))
146.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify103.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	313	542
1	1108	489
2	4150	480
3	5002	477

prune344.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 7.4b

regimes1.4s

Accuracy

9.5% (4.5b remaining)

Error of 11.9b against oracle of 7.4b and baseline of 12.4b

bsearch147.0ms

Steps

Iters	Range		Point
10	7.653501993338253e+104	1.150476989599119e+115	9.528674436944477e+109

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	44
1	63	44
2	70	44
3	70	44

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s

19149×

body

valid