Details

sample72.0ms

Algorithm

intervals

Results

38.0ms

577×

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: 11.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c z) (* i a))
4.7b	(* j (- (* c t) (* i y)))
4.7b	(* b (- (* c z) (* i a)))
5.2b	(* x (- (* y z) (* t a)))

rewrite24.0ms

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:

3.0ms	(- (* c z) (* i a))
6.0ms	(* j (- (* c t) (* i y)))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* x (- (* y z) (* t a)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* c z) (* i a))
68.0ms	(* j (- (* c t) (* i y)))
67.0ms	(* b (- (* c z) (* i a)))
67.0ms	(* x (- (* y z) (* t a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

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

prune426.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.1b

localize24.0ms

Local error

Found 4 expressions with local error:

4.7b	(* b (- (* c z) (* i a)))
7.5b	(cbrt (- (* y z) (* t a)))
7.5b	(cbrt (- (* y z) (* t a)))
7.5b	(cbrt (- (* y z) (* t a)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

6.0ms	(* b (- (* c z) (* i a)))
3.0ms	(cbrt (- (* y z) (* t a)))
3.0ms	(cbrt (- (* y z) (* t a)))
4.0ms	(cbrt (- (* y z) (* t a)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* b (- (* c z) (* i a)))
112.0ms	(cbrt (- (* y z) (* t a)))
117.0ms	(cbrt (- (* y z) (* t a)))
112.0ms	(cbrt (- (* y z) (* t a)))

simplify104.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	312	590
1	1053	543
2	3722	525
3	5001	519

prune477.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 7.1b

localize25.0ms

Local error

Found 4 expressions with local error:

5.2b	(* x (- (* y z) (* t a)))
5.5b	(cbrt (* j (- (* c t) (* i y))))
5.5b	(cbrt (* j (- (* c t) (* i y))))
5.5b	(cbrt (* j (- (* c t) (* i y))))

rewrite21.0ms

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:

6.0ms	(* x (- (* y z) (* t a)))
4.0ms	(cbrt (* j (- (* c t) (* i y))))
5.0ms	(cbrt (* j (- (* c t) (* i y))))
5.0ms	(cbrt (* j (- (* c t) (* i y))))

series477.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* x (- (* y z) (* t a)))
139.0ms	(cbrt (* j (- (* c t) (* i y))))
136.0ms	(cbrt (* j (- (* c t) (* i y))))
139.0ms	(cbrt (* j (- (* c t) (* i y))))

simplify108.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	314	542
1	1109	489
2	4150	480
3	5001	477

prune462.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 7.1b

localize33.0ms

Local error

Found 4 expressions with local error:

5.2b	(* x (- (* y z) (* t a)))
5.5b	(cbrt (* j (- (* c t) (* i y))))
5.5b	(cbrt (* j (- (* c t) (* i y))))
6.7b	(cbrt (- (* c t) (* i y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
5×	`cbrt-prod`
4×	`flip3--` `flip--` `add-log-exp`
3×	`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 → 59

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(cbrt (* j (- (* c t) (* i y))))
5.0ms	(cbrt (* j (- (* c t) (* i y))))
3.0ms	(cbrt (- (* c t) (* i y)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* x (- (* y z) (* t a)))
134.0ms	(cbrt (* j (- (* c t) (* i y))))
137.0ms	(cbrt (* j (- (* c t) (* i y))))
118.0ms	(cbrt (- (* c t) (* i y)))

simplify116.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	392	558
1	1295	507
2	4702	495
3	5002	493

prune413.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 7.0b

regimes1.3s

Accuracy

-6.2% (4.5b remaining)

Error of 12.6b against oracle of 8.1b and baseline of 12.3b

bsearch203.0ms

Steps

Iters	Range		Point
6	1.2851029801585344e-129	1.5095874509358695e-128	1.3447208315976225e-129
10	-2.5799640052418466e-113	-3.3117496423123305e-126	-3.373588334677838e-126

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	52
1	64	52
2	64	52

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s

18962×

body

valid