Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

285×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	4

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: 9.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
9.0b	(/ (* x (- y z)) (- t 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-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 55

Calls

2 calls:

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

series97.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* x (- y z))
64.0ms	(/ (* x (- y z)) (- t z))

simplify48.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	264	276
1	1209	239
2	5001	239

prune111.0ms

Filtered

61 candidates to 40 candidates (65.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	53	8	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	8	62

Merged error: 0.0b

Counts

62 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- y z))
2.1b	(/ x (/ (- t z) (- y z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

8.0ms	(/ (- t z) (- y z))
12.0ms	(/ x (/ (- t z) (- y z)))

series193.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- t z) (- y z))
144.0ms	(/ x (/ (- t z) (- y z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	633	1784
1	2863	1733
2	5001	1730

prune586.0ms

Filtered

200 candidates to 133 candidates (66.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	196	4	200
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	201	7	208

Merged error: 0b

Counts

208 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- t z))
2.2b	(* x (/ (- y z) (- t z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
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-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

11.0ms	(/ (- y z) (- t z))
14.0ms	(* x (/ (- y z) (- t z)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- y z) (- t z))
61.0ms	(* x (/ (- y z) (- t z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	349	647
1	1396	606
2	5001	606

prune235.0ms

Filtered

108 candidates to 70 candidates (64.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	108	7	115

Merged error: 0b

Counts

115 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ 1 (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z))))) (/ x (cbrt (/ (- t z) (- y z)))))
3.3b	(cbrt (/ (- t z) (- y z)))
3.3b	(cbrt (/ (- t z) (- y z)))
3.3b	(cbrt (/ (- t z) (- y z)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

275×	`times-frac`
262×	`add-sqr-sqrt`
234×	`*-un-lft-identity`
192×	`cbrt-prod`
110×	`add-cube-cbrt`
107×	`associate-r`
60×	`distribute-lft-out--` `difference-of-squares`
49×	`add-exp-log`
20×	`prod-exp`
18×	`add-cbrt-cube`
16×	`associate-/r/`
15×	`div-exp`
12×	`unswap-sqr`
10×	`associate-l`
8×	`cbrt-div` `cbrt-unprod` `div-inv`
7×	`cbrt-undiv`
6×	`pow1` `flip3--` `flip--`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 281

Calls

4 calls:

62.0ms	(* (/ 1 (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z))))) (/ x (cbrt (/ (- t z) (- y z)))))
7.0ms	(cbrt (/ (- t z) (- y z)))
7.0ms	(cbrt (/ (- t z) (- y z)))
7.0ms	(cbrt (/ (- t z) (- y z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (/ 1 (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z))))) (/ x (cbrt (/ (- t z) (- y z)))))
304.0ms	(cbrt (/ (- t z) (- y z)))
290.0ms	(cbrt (/ (- t z) (- y z)))
309.0ms	(cbrt (/ (- t z) (- y z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1122	4420
1	5001	4092

prune835.0ms

Filtered

293 candidates to 208 candidates (71.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	293	0	293
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	293	7	300

Merged error: 0b

Counts

300 → 7

regimes109.0ms

Accuracy

-1.1% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch85.0ms

Steps

Iters	Range		Point
11	6.913030277819514e-210	1.0102709383013121e-189	2.6664903317211886e-202
11	-6.595834979536958e-117	-1.698231642237559e-137	-2.3765987627577737e-131

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample603.0ms

Algorithm

intervals

Results

309.0ms

8763×

body

valid

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	4

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	4

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	4