Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

353×

body

valid

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	48	4
3	79	4
4	121	4
5	149	4
6	218	4
7	320	4
8	396	4
9	599	4
10	893	4
11	1267	4
12	2333	4
13	3587	4
14	5002	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: 7.7b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
8.1b	(/ (* (- y x) z) t)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

4.0ms	(+ x (/ (* (- y x) z) t))
6.0ms	(* (- y x) z)
6.0ms	(/ (* (- y x) z) t)

series103.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ x (/ (* (- y x) z) t))
27.0ms	(* (- y x) z)
43.0ms	(/ (* (- y x) z) t)

simplify35.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	283	314
1	1117	267
2	5001	267

prune103.0ms

Filtered

66 candidates to 45 candidates (68.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	4	67

Merged error: 0.0b

Counts

67 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
4.9b	(/ (- y x) (/ t z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

17.0ms	(+ x (/ (- y x) (/ t z)))
8.0ms	(/ (- y x) (/ t z))

series77.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (/ (- y x) (/ t z)))
44.0ms	(/ (- y x) (/ t z))

simplify53.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	609	959
1	2199	914
2	5001	913

prune200.0ms

Filtered

120 candidates to 85 candidates (70.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	119	5	124

Merged error: 0b

Counts

124 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
4.6b	(* (- y x) (/ z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series77.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (* (- y x) (/ z t)))
40.0ms	(* (- y x) (/ z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune86.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	55	5	60

Merged error: 0b

Counts

60 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
5.5b	(/ (/ (- y x) (* (cbrt t) (cbrt t))) (/ (cbrt t) z))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

493×	`times-frac`
229×	`add-sqr-sqrt` `*-un-lft-identity`
183×	`add-cube-cbrt`
99×	`cbrt-prod`
34×	`div-inv`
25×	`add-exp-log`
23×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
18×	`add-cbrt-cube`
13×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
2×	`div-sub` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/r/` `associate-/l/`

Counts

4 → 287

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
19.0ms	(/ (/ (- y x) (* (cbrt t) (cbrt t))) (/ (cbrt t) z))

series615.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt t)
183.0ms	(cbrt t)
177.0ms	(cbrt t)
76.0ms	(/ (/ (- y x) (* (cbrt t) (cbrt t))) (/ (cbrt t) z))

simplify64.0ms

Algorithm

egg-herbie

Counts

299 → 299

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1361	4265
1	5001	3926

prune802.0ms

Filtered

299 candidates to 250 candidates (83.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	299	0	299
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	299	5	304

Merged error: 0b

Counts

304 → 5

Details

sample22.0ms

simplify101.0ms

prune2.0ms

localize6.0ms

rewrite18.0ms

series103.0ms

simplify35.0ms

prune103.0ms

localize9.0ms

rewrite31.0ms

series77.0ms

simplify53.0ms

prune200.0ms

localize6.0ms

rewrite13.0ms

series77.0ms

simplify36.0ms

prune86.0ms

localize10.0ms

rewrite40.0ms

series615.0ms

simplify64.0ms

prune802.0ms

regimes94.0ms

bsearch2.0ms

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