Details

sample77.0ms

Algorithm

intervals

Results

41.0ms

614×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	47	14
1	110	13
2	335	13
3	1059	13
4	3442	13
5	5001	13

prune12.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 10.7b

Counts

2 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
4.1b	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
4.6b	(* b (- (* c z) (* i a)))
5.2b	(* x (- (* y z) (* t a)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l` `add-log-exp`
5×	`sub-neg` `prod-diff`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log` `fma-udef`

Counts

4 → 82

Calls

4 calls:

4.0ms	(- (* y z) (* t a))
1.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* x (- (* y z) (* t a)))

series772.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* y z) (* t a))
590.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
70.0ms	(* b (- (* c z) (* i a)))
68.0ms	(* x (- (* y z) (* t a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	373	645
1	1485	568
2	5001	568

prune449.0ms

Filtered

94 candidates to 71 candidates (75.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	79	15	94
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	81	15	96

Merged error: 4.2b

Counts

96 → 15

localize25.0ms

Local error

Found 4 expressions with local error:

4.1b	(fma (- (* c t) (* i y)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* i a)))))
4.6b	(* b (- (* c z) (* i a)))
5.2b	(* x (fma y z (- (* a t))))
50.2b	(fma (- a) t (* a t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-r/` `prod-diff` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

4 → 70

Calls

4 calls:

1.0ms	(fma (- (* c t) (* i y)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* i a)))))
6.0ms	(* b (- (* c z) (* i a)))
4.0ms	(* x (fma y z (- (* a t))))
1.0ms	(fma (- a) t (* a t))

series3.7s

Counts

4 → 12

Calls

4 calls:

3.5s	(fma (- (* c t) (* i y)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* i a)))))
72.0ms	(* b (- (* c z) (* i a)))
77.0ms	(* x (fma y z (- (* a t))))
28.0ms	(fma (- a) t (* a t))

simplify44.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	315	624
1	1247	538
2	5002	538

prune445.0ms

Filtered

82 candidates to 58 candidates (70.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	4	10	14
Picked	0	1	1
Done	0	0	0
Total	82	15	97

Merged error: 4.2b

Counts

97 → 15

localize24.0ms

Local error

Found 4 expressions with local error:

5.2b	(* x (* (* (cbrt (- (* y z) (* t a))) (cbrt (- (* y z) (* t a)))) (cbrt (- (* y z) (* t a)))))
6.2b	(cbrt (- (* y z) (* t a)))
6.2b	(cbrt (- (* y z) (* t a)))
6.2b	(cbrt (- (* y z) (* t a)))

rewrite37.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 94

Calls

4 calls:

21.0ms	(* x (* (* (cbrt (- (* y z) (* t a))) (cbrt (- (* y z) (* t a)))) (cbrt (- (* y z) (* t a)))))
4.0ms	(cbrt (- (* y z) (* t a)))
4.0ms	(cbrt (- (* y z) (* t a)))
4.0ms	(cbrt (- (* y z) (* t a)))

series462.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* x (* (* (cbrt (- (* y z) (* t a))) (cbrt (- (* y z) (* t a)))) (cbrt (- (* y z) (* t a)))))
125.0ms	(cbrt (- (* y z) (* t a)))
130.0ms	(cbrt (- (* y z) (* t a)))
132.0ms	(cbrt (- (* y z) (* t a)))

simplify103.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	447	1455
1	1202	1325
2	3974	1156
3	5001	1137

prune603.0ms

Filtered

106 candidates to 81 candidates (76.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	3	10	13
Picked	1	0	1
Done	0	1	1
Total	107	14	121

Merged error: 4.2b

Counts

121 → 14

localize27.0ms

Local error

Found 4 expressions with local error:

5.2b	(* x (- (* y z) (* t a)))
6.1b	(cbrt (- (* c z) (* i a)))
6.1b	(cbrt (- (* c z) (* i a)))
6.1b	(cbrt (- (* c z) (* i a)))

rewrite19.0ms

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×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-r` `associate-l`
2×	`sub-neg` `associate-*r/` `prod-diff`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

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

series458.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* x (- (* y z) (* t a)))
130.0ms	(cbrt (- (* c z) (* i a)))
128.0ms	(cbrt (- (* c z) (* i a)))
124.0ms	(cbrt (- (* c z) (* i a)))

simplify107.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	339	646
1	1165	598
2	4162	580
3	5001	580

prune660.0ms

Filtered

85 candidates to 74 candidates (87.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	11	12
Picked	1	0	1
Done	0	1	1
Total	86	13	99

Merged error: 4.2b

Counts

99 → 13

regimes789.0ms

Accuracy

2.7% (6.6b remaining)

Error of 12.0b against oracle of 5.4b and baseline of 12.1b

bsearch104.0ms

Steps

Iters	Range		Point
7	2.384420810269393e+184	8.05149771878197e+185	1.4691275355982526e+185

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	25
1	54	25
2	54	25

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.3s

18952×

body

valid