Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

289×

body

valid

simplify57.0ms

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: 1.3b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.8b	(* y (/ (- z t) (- z a)))

rewrite26.0ms

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:

8.0ms	(/ (- z t) (- z a))
14.0ms	(* y (/ (- z t) (- z a)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (- z t) (- z a))
64.0ms	(* y (/ (- z t) (- z a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	351	647
1	1392	606
2	5002	606

prune229.0ms

Filtered

108 candidates to 71 candidates (65.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	5	109

Merged error: 0b

Counts

109 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- z a))
0.0b	(- (/ z (- z a)) (/ t (- z a)))
0.0b	(/ z (- z a))
1.8b	(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
66×	`times-frac`
32×	`distribute-lft-out--`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`associate-r`
12×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-out--` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

5.0ms	(/ t (- z a))
26.0ms	(- (/ z (- z a)) (/ t (- z a)))
5.0ms	(/ z (- z a))
34.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

series309.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ t (- z a))
105.0ms	(- (/ z (- z a)) (/ t (- z a)))
44.0ms	(/ z (- z a))
132.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

simplify48.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	429	888
1	1588	838
2	5002	838

prune353.0ms

Filtered

156 candidates to 110 candidates (70.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	157	4	161

Merged error: 0b

Counts

161 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

1.8b	(* y (/ (- z t) (- z a)))
7.1b	(cbrt (* y (/ (- z t) (- z a))))
7.1b	(cbrt (* y (/ (- z t) (- z a))))
7.1b	(cbrt (* y (/ (- z t) (- z a))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

14.0ms	(* y (/ (- z t) (- z a)))
8.0ms	(cbrt (* y (/ (- z t) (- z a))))
8.0ms	(cbrt (* y (/ (- z t) (- z a))))
8.0ms	(cbrt (* y (/ (- z t) (- z a))))

series516.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* y (/ (- z t) (- z a)))
158.0ms	(cbrt (* y (/ (- z t) (- z a))))
126.0ms	(cbrt (* y (/ (- z t) (- z a))))
131.0ms	(cbrt (* y (/ (- z t) (- z a))))

simplify50.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	292	542
1	1195	482
2	5001	476

prune281.0ms

Filtered

92 candidates to 70 candidates (76.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	92	4	96

Merged error: 0b

Counts

96 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
11.0b	(* (/ y (- z a)) (- z t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 87

Calls

2 calls:

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

series148.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ y (- z a))
114.0ms	(* (/ y (- z a)) (- z t))

simplify46.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	341	497
1	1399	459
2	5001	459

prune216.0ms

Filtered

93 candidates to 65 candidates (69.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0b

Counts

97 → 4

regimes161.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample515.0ms

Algorithm

intervals

Results

268.0ms

8784×

body

valid