Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

274×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

prune2.0ms

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: 12.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) t)
12.1b	(/ (* (- y z) t) (- a z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`pow1` `associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

6.0ms	(* (- y z) t)
9.0ms	(/ (* (- y z) t) (- a z))

series91.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- y z) t)
63.0ms	(/ (* (- y z) t) (- a z))

simplify36.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	256	263
1	1188	226
2	5001	226

prune123.0ms

Filtered

57 candidates to 40 candidates (70.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	5	58

Merged error: 0b

Counts

58 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a z) t)
7.5b	(/ (- y z) (/ (- a z) t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
170×	`add-sqr-sqrt` `*-un-lft-identity`
86×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 175

Calls

2 calls:

9.0ms	(/ (- a z) t)
12.0ms	(/ (- y z) (/ (- a z) t))

series119.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (- a z) t)
93.0ms	(/ (- y z) (/ (- a z) t))

simplify69.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	702	1608
1	2759	1557
2	5002	1556

prune324.0ms

Filtered

181 candidates to 119 candidates (65.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	2	1	3
Picked	0	1	1
Done	1	0	1
Total	183	3	186

Merged error: 0b

Counts

186 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- a z))
7.3b	(* (- y z) (/ t (- a z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-l` `associate-/r*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 83

Calls

2 calls:

5.0ms	(/ t (- a z))
13.0ms	(* (- y z) (/ t (- a z)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ t (- a z))
63.0ms	(* (- y z) (/ t (- a z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	293	474
1	1347	437
2	5002	437

prune158.0ms

Filtered

89 candidates to 64 candidates (71.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	89	3	92

Merged error: 0b

Counts

92 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.8b	(* (/ (- y z) (- a z)) t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

8.0ms	(/ (- y z) (- a z))
12.0ms	(* (/ (- y z) (- a z)) t)

series137.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- y z) (- a z))
92.0ms	(* (/ (- y z) (- a z)) t)

simplify94.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	360	653
1	1125	612
2	4528	611
3	5002	611

prune177.0ms

Filtered

108 candidates to 71 candidates (65.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	108	3	111

Merged error: 0b

Counts

111 → 3

regimes94.0ms

Accuracy

31.1% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 3.1b

bsearch43.0ms

Steps

Iters	Range		Point
9	1.4680312867239858e-303	4.5891941162034246e-296	1.586820151103593e-296

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms

sample520.0ms

Algorithm

intervals

Results

273.0ms	8743×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5