Details

sample90.0ms

Algorithm

intervals

Results

53.0ms

672×

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 11.7b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* i a))
3.8b	(* j (- (* c t) (* i y)))
4.8b	(* b (- (* c z) (* i a)))
6.1b	(* x (- (* y z) (* t a)))

rewrite23.0ms

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)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* c z) (* i a))
67.0ms	(* j (- (* c t) (* i y)))
66.0ms	(* b (- (* c z) (* i a)))
66.0ms	(* x (- (* y z) (* t a)))

simplify56.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

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

prune401.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	76	20	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	20	97

Merged error: 6.4b

Counts

97 → 20

localize22.0ms

Local error

Found 4 expressions with local error:

3.8b	(* j (- (* c t) (* i y)))
4.4b	(* b (- (* i a)))
6.1b	(* x (- (* y z) (* t a)))
7.0b	(* b (* c z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

9.0ms	(* j (- (* c t) (* i y)))
5.0ms	(* b (- (* i a)))
6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (* c z))

series184.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* j (- (* c t) (* i y)))
23.0ms	(* b (- (* i a)))
68.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* b (* c z))

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	445	484
1	2066	419
2	5001	419

prune378.0ms

Filtered

100 candidates to 67 candidates (67.0%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	4	15	19
Picked	1	0	1
Done	0	0	0
Total	102	18	120

Merged error: 4.6b

Counts

120 → 18

localize21.0ms

Local error

Found 4 expressions with local error:

3.8b	(* j (- (* c t) (* i y)))
4.4b	(* b (- (* i a)))
4.6b	(* (* b c) z)
6.1b	(* x (- (* y z) (* t a)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

6.0ms	(* j (- (* c t) (* i y)))
5.0ms	(* b (- (* i a)))
5.0ms	(* (* b c) z)
10.0ms	(* x (- (* y z) (* t a)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* j (- (* c t) (* i y)))
23.0ms	(* b (- (* i a)))
29.0ms	(* (* b c) z)
65.0ms	(* x (- (* y z) (* t a)))

simplify61.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	454	485
1	2196	420
2	5002	420

prune422.0ms

Filtered

100 candidates to 67 candidates (67.0%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	99	19	118

Merged error: 4.6b

Counts

118 → 19

localize30.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (* j (- (* c t) (* i y))))
5.5b	(cbrt (* j (- (* c t) (* i y))))
5.5b	(cbrt (* j (- (* c t) (* i y))))
6.1b	(* x (- (* y z) (* t a)))

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:

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

series472.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (* j (- (* c t) (* i y))))
139.0ms	(cbrt (* j (- (* c t) (* i y))))
131.0ms	(cbrt (* j (- (* c t) (* i y))))
68.0ms	(* x (- (* y z) (* t a)))

simplify105.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (98.0ms)

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

prune511.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	17	18
Picked	1	0	1
Done	0	0	0
Total	70	18	88

Merged error: 4.6b

Counts

88 → 18

regimes995.0ms

Accuracy

3.3% (6.5b remaining)

Error of 12.7b against oracle of 6.2b and baseline of 12.9b

bsearch168.0ms

Steps

Iters	Range		Point
8	3.448717813479758e-179	1.9426530365453936e-176	3.969769491423805e-177
5	-7.823262645945e-168	-3.614705509695484e-168	-3.9545558799775763e-168

simplify10.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	60
1	98	60
2	114	60
3	137	60
4	187	60
5	282	60
6	327	60
7	372	60
8	406	60
9	443	60
10	443	60

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.5s

19148×

body

valid

Iter	Nodes	Cost
0	82	60
1	98	60
2	114	60
3	137	60
4	187	60
5	282	60
6	327	60
7	372	60
8	406	60
9	443	60
10	443	60

Iter	Nodes	Cost
0	82	60
1	98	60
2	114	60
3	137	60
4	187	60
5	282	60
6	327	60
7	372	60
8	406	60
9	443	60
10	443	60

Iter	Nodes	Cost
0	82	60
1	98	60
2	114	60
3	137	60
4	187	60
5	282	60
6	327	60
7	372	60
8	406	60
9	443	60
10	443	60