Details

sample71.0ms

Algorithm

intervals

Results

37.0ms

583×

body

valid

simplify75.0ms

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

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: 11.5b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
4.6b	(* j (- (* c a) (* y i)))
4.8b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* c z) (* t i)))

rewrite22.0ms

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

series231.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* y z) (* t a))
65.0ms	(* j (- (* c a) (* y i)))
67.0ms	(* x (- (* y z) (* t a)))
65.0ms	(* b (- (* c z) (* t i)))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	423	552
1	1763	485
2	5002	485

prune377.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	79	17	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	17	97

Merged error: 8.6b

Counts

97 → 17

localize25.0ms

Local error

Found 4 expressions with local error:

5.4b	(* b (- (* c z) (* t i)))
5.5b	(cbrt (* x (- (* y z) (* t a))))
5.5b	(cbrt (* x (- (* y z) (* t a))))
5.5b	(cbrt (* 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:

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

series463.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* b (- (* c z) (* t i)))
135.0ms	(cbrt (* x (- (* y z) (* t a))))
128.0ms	(cbrt (* x (- (* y z) (* t a))))
132.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify110.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	311	542
1	1096	489
2	4134	480
3	5002	477

prune382.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	1	15	16
Picked	0	1	1
Done	0	0	0
Total	68	18	86

Merged error: 8.6b

Counts

86 → 18

localize28.0ms

Local error

Found 4 expressions with local error:

5.4b	(* b (- (* c z) (* t i)))
5.5b	(cbrt (* x (- (* y z) (* t a))))
5.5b	(cbrt (* x (- (* y z) (* t a))))
5.5b	(cbrt (- (* y z) (* t a)))

rewrite23.0ms

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	(* b (- (* c z) (* t i)))
8.0ms	(cbrt (* x (- (* y z) (* t a))))
4.0ms	(cbrt (* x (- (* y z) (* t a))))
4.0ms	(cbrt (- (* y z) (* t a)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* b (- (* c z) (* t i)))
132.0ms	(cbrt (* x (- (* y z) (* t a))))
127.0ms	(cbrt (* x (- (* y z) (* t a))))
109.0ms	(cbrt (- (* y z) (* t a)))

simplify114.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	382	558
1	1275	507
2	4674	493
3	5002	493

prune439.0ms

Filtered

71 candidates to 58 candidates (81.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	16	16
Picked	1	0	1
Done	0	1	1
Total	71	18	89

Merged error: 8.6b

Counts

89 → 18

localize24.0ms

Local error

Found 4 expressions with local error:

5.3b	(cbrt (* b (- (* c z) (* t i))))
5.4b	(* b (- (* c z) (* t i)))
5.4b	(* b (- (* c z) (* t i)))
5.4b	(* b (- (* c z) (* t i)))

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

Counts

4 → 83

Calls

4 calls:

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

series327.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (* b (- (* c z) (* t i))))
65.0ms	(* b (- (* c z) (* t i)))
66.0ms	(* b (- (* c z) (* t i)))
66.0ms	(* b (- (* c z) (* t i)))

simplify99.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	254	602
1	913	531
2	3481	528
3	5001	527

prune554.0ms

Filtered

95 candidates to 64 candidates (67.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	16	16
Picked	1	0	1
Done	0	1	1
Total	94	19	113

Merged error: 8.6b

Counts

113 → 19

regimes935.0ms

Accuracy

8.9% (3.5b remaining)

Error of 12.1b against oracle of 8.6b and baseline of 12.4b

bsearch136.0ms

Steps

Iters	Range		Point
5	1.570725610429074e-220	3.629397847867119e-220	2.858659034271927e-220
7	-5.4092397282851526e-250	-1.1212717228928335e-251	-2.308299151831087e-251

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	69
1	63	69
2	63	69

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19138×

body

valid