Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

280×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	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: 0.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.0b	(* y (/ (- z t) (- z a)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
8.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ x (* y (/ (- z t) (- z a))))
44.0ms	(/ (- z t) (- z a))
61.0ms	(* y (/ (- z t) (- z a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune253.0ms

Filtered

122 candidates to 83 candidates (68.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	8	123

Merged error: 0.0b

Counts

123 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
2.1b	(cbrt (/ (- z t) (- z a)))
2.1b	(cbrt (/ (- z t) (- z a)))
2.1b	(cbrt (/ (- z t) (- z a)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

36.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
7.0ms	(cbrt (/ (- z t) (- z a)))
7.0ms	(cbrt (/ (- z t) (- z a)))
7.0ms	(cbrt (/ (- z t) (- z a)))

series562.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
144.0ms	(cbrt (/ (- z t) (- z a)))
140.0ms	(cbrt (/ (- z t) (- z a)))
127.0ms	(cbrt (/ (- z t) (- z a)))

simplify107.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	381	3471
1	1199	3405
2	4304	3218
3	5002	3212

prune679.0ms

Filtered

288 candidates to 176 candidates (61.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	288	8	296

Merged error: 0.0b

Counts

296 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
0.7b	(* (cbrt y) (/ (- z t) (- z a)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
31×	`associate-r`
27×	`times-frac`
20×	`add-cube-cbrt`
14×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`pow1` `associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`pow1/3`
2×	`prod-exp` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `flip3--` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip--` `div-inv`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
15.0ms	(* (cbrt y) (/ (- z t) (- z a)))

series703.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt y)
173.0ms	(cbrt y)
181.0ms	(cbrt y)
177.0ms	(* (cbrt y) (/ (- z t) (- z a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	285	505
1	1245	473
2	5001	467

prune244.0ms

Filtered

100 candidates to 75 candidates (75.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	100	8	108

Merged error: 0b

Counts

108 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt (cbrt y))
0.6b	(cbrt (* (cbrt y) (cbrt y)))
0.6b	(* (cbrt (* (cbrt y) (cbrt y))) (* (cbrt (cbrt y)) (/ (- z t) (- z a))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
13×	`add-exp-log`
9×	`pow1`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`associate-*r/`
1×	`cbrt-undiv` `div-exp` `associate-r` `*-commutative`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))
4.0ms	(cbrt (* (cbrt y) (cbrt y)))
13.0ms	(* (cbrt (* (cbrt y) (cbrt y))) (* (cbrt (cbrt y)) (/ (- z t) (- z a))))

series1.0s

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt y)
253.0ms	(cbrt (cbrt y))
264.0ms	(cbrt (* (cbrt y) (cbrt y)))
355.0ms	(* (cbrt (* (cbrt y) (cbrt y))) (* (cbrt (cbrt y)) (/ (- z t) (- z a))))

simplify102.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	236	472
1	834	399
2	4426	378
3	5001	378

prune190.0ms

Filtered

68 candidates to 54 candidates (79.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	68	8	76

Merged error: 0b

Counts

76 → 8

regimes262.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample512.0ms

Algorithm

intervals

Results

262.0ms	8719×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid