Details

sample26.0ms

Algorithm

intervals

Results

14.0ms	280×	body	80	valid
0.0ms	1×	body	640	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 1.8b

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))
2.7b	(* y (/ (- z t) (- z a)))

rewrite28.0ms

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)))

series185.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ x (* y (/ (- z t) (- z a))))
42.0ms	(/ (- z t) (- z a))
67.0ms	(* y (/ (- z t) (- z a)))

simplify47.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

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

prune257.0ms

Filtered

122 candidates to 83 candidates (68.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Merged error: 0b

Counts

123 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.3b	(/ 1 (/ (- z a) (- z t)))
2.7b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

2.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
11.0ms	(/ (- z a) (- z t))
12.0ms	(/ 1 (/ (- z a) (- z t)))
29.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series340.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
48.0ms	(/ (- z a) (- z t))
96.0ms	(/ 1 (/ (- z a) (- z t)))
114.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify112.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	954	2831
1	4775	2542
2	5002	2256

prune536.0ms

Filtered

350 candidates to 182 candidates (52.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	349	1	350
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	352	5	357

Merged error: 0b

Counts

357 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- z a)) (- z t)))
0.0b	(/ y (- z a))
11.4b	(* (/ y (- z a)) (- z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

3.0ms	(+ x (* (/ y (- z a)) (- z t)))
5.0ms	(/ y (- z a))
12.0ms	(* (/ y (- z a)) (- z t))

series223.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ x (* (/ y (- z a)) (- z t)))
27.0ms	(/ y (- z a))
116.0ms	(* (/ y (- z a)) (- z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	416	613
1	1659	573
2	5001	573

prune198.0ms

Filtered

111 candidates to 78 candidates (70.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	111	5	116

Merged error: 0b

Counts

116 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
5.8b	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`associate-r`
40×	`cbrt-prod` `times-frac`
30×	`cbrt-div`
28×	`associate-*l/`
26×	`add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
16×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 132

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
29.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

series511.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- z t))
150.0ms	(cbrt (- z t))
148.0ms	(cbrt (- z t))
63.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

simplify85.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	665	1572
1	3178	1420
2	5001	1364

prune347.0ms

Filtered

144 candidates to 103 candidates (71.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	144	5	149

Merged error: 0b

Counts

149 → 5

Details

sample26.0ms

simplify58.0ms

prune2.0ms

localize8.0ms

rewrite28.0ms

series185.0ms

simplify47.0ms

prune257.0ms

localize9.0ms

rewrite76.0ms

series340.0ms

simplify112.0ms

prune536.0ms

localize8.0ms

rewrite24.0ms

series223.0ms

simplify45.0ms

prune198.0ms

localize12.0ms

rewrite45.0ms

series511.0ms

simplify85.0ms

prune347.0ms

regimes256.0ms

bsearch2.0ms

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