Details

analyze1.2s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

sample99.0ms

Algorithm

intervals

Results

30.0ms	46×	body	1280	valid
18.0ms	51×	body	640	valid
8.0ms	112×	body	80	valid
7.0ms	43×	body	80	nan
6.0ms	28×	body	320	valid
5.0ms	3×	body	2560	valid
2.0ms	16×	body	160	valid
2.0ms	7×	body	640	nan
1.0ms	4×	body	1280	nan
1.0ms	21×	body	80	overflowed
1.0ms	4×	body	320	nan
1.0ms	5×	body	160	nan

simplify235.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (233.0ms)

Iter	Nodes	Cost
0	3730	13
1	3730	13

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 15.3b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
1.9b	(log (+ 1.0 (- (* y (exp z)) y)))
2.9b	(- (* y (exp z)) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`log-pow`
4×	`log-div` `log-prod` `associate-/l*`
3×	`associate-r` `associate-l` `associate-/r*`
2×	`flip3-+` `div-sub` `flip-+`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

5.0ms	(* y (exp z))
8.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
6.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
5.0ms	(- (* y (exp z)) y)

series65.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
40.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
13.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
7.0ms	(- (* y (exp z)) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5135	1208

prune141.0ms

Filtered

69 candidates to 89 candidates (-29.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Merged error: 3.6b

Counts

90 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ z (/ t z))
3.1b	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
4.0b	(* y (/ z t))
6.0b	(* y (/ z (/ t z)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

154×	`times-frac`
104×	`add-sqr-sqrt`
90×	`add-cube-cbrt` `*-un-lft-identity`
57×	`associate-r`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/r*`
10×	`associate-*r/` `div-inv`
9×	`add-log-exp`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l`
5×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`frac-add`
3×	`sum-log` `associate-/l*`
2×	`flip3-+` `pow-prod-down` `associate-/r/` `*-commutative` `flip-+`
1×	`+-commutative` `associate-+r+` `frac-2neg` `clear-num`

Counts

4 → 184

Calls

4 calls:

6.0ms	(/ z (/ t z))
14.0ms	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
6.0ms	(* y (/ z t))
14.0ms	(* y (/ z (/ t z)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ z (/ t z))
20.0ms	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
5.0ms	(* y (/ z t))
8.0ms	(* y (/ z (/ t z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4964	2144
1	4964	2144

prune284.0ms

Filtered

148 candidates to 196 candidates (-32.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	190	6	196
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	190	11	201

Merged error: 3.5b

Counts

201 → 11

localize25.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (/ z t) (cbrt y))
2.7b	(* (* (cbrt y) (cbrt y)) (* (/ z t) (cbrt y)))
3.1b	(+ (* 1.0 (* (* (cbrt y) (cbrt y)) (* (/ z t) (cbrt y)))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
6.0b	(* y (/ z (/ t z)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
68×	`add-sqr-sqrt`
51×	`associate-r`
49×	`add-cube-cbrt` `*-un-lft-identity`
39×	`add-exp-log`
27×	`add-cbrt-cube`
20×	`pow1`
18×	`prod-exp` `cbrt-unprod`
17×	`associate-l`
10×	`associate-*r/` `pow-prod-down`
9×	`add-log-exp`
7×	`unswap-sqr`
6×	`cbrt-undiv` `div-exp`
5×	`cbrt-prod` `associate-*l/` `div-inv`
4×	`frac-add`
3×	`sum-log` `*-commutative`
2×	`flip3-+` `flip-+`
1×	`+-commutative` `associate-+r+` `associate-/r/`

Counts

4 → 146

Calls

4 calls:

7.0ms	(* (/ z t) (cbrt y))
11.0ms	(* (* (cbrt y) (cbrt y)) (* (/ z t) (cbrt y)))
22.0ms	(+ (* 1.0 (* (* (cbrt y) (cbrt y)) (* (/ z t) (cbrt y)))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
14.0ms	(* y (/ z (/ t z)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (/ z t) (cbrt y))
8.0ms	(* (* (cbrt y) (cbrt y)) (* (/ z t) (cbrt y)))
29.0ms	(+ (* 1.0 (* (* (cbrt y) (cbrt y)) (* (/ z t) (cbrt y)))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
8.0ms	(* y (/ z (/ t z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4953	1751
1	4953	1751

prune229.0ms

Filtered

114 candidates to 158 candidates (-38.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	154	4	158
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	158	11	169

Merged error: 3.5b

Counts

169 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

6.0b	(* y (/ z (/ t z)))
19.3b	(cbrt (* y (/ z t)))
19.3b	(cbrt (* y (/ z t)))
19.3b	(cbrt (* y (/ z t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

69×	`times-frac`
49×	`add-sqr-sqrt`
44×	`associate-r`
40×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*r/` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `cbrt-div` `pow1/3` `div-exp` `associate-l` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative`

Counts

4 → 96

Calls

4 calls:

14.0ms	(* y (/ z (/ t z)))
4.0ms	(cbrt (* y (/ z t)))
4.0ms	(cbrt (* y (/ z t)))
4.0ms	(cbrt (* y (/ z t)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* y (/ z (/ t z)))
23.0ms	(cbrt (* y (/ z t)))
19.0ms	(cbrt (* y (/ z t)))
20.0ms	(cbrt (* y (/ z t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4950	873
1	4950	873

prune133.0ms

Filtered

86 candidates to 108 candidates (-25.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	108	11	119

Merged error: 3.5b

Counts

119 → 11

regimes591.0ms

Accuracy

72% (4.4b remaining)

Error of 8.3b against oracle of 3.9b and baseline of 19.7b

bsearch31.0ms

Steps

Iters	Range		Point
6	-1.1608258378864231e-05	-1.2268198317459513e-06	-1.443750446851244e-06

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	172	48
1	172	48

end0.0ms

sample2.7s

Algorithm

intervals

Results

844.0ms	1418×	body	1280	valid
566.0ms	1630×	body	640	valid
255.0ms	3491×	body	80	valid
191.0ms	846×	body	320	valid
138.0ms	102×	body	2560	valid
73.0ms	1497×	body	80	nan
72.0ms	513×	body	160	valid
57.0ms	235×	body	640	nan
47.0ms	825×	body	80	overflowed
42.0ms	114×	body	1280	nan
34.0ms	205×	body	320	nan
16.0ms	113×	body	160	nan
1.0ms	18×	body	80	invalid
1.0ms	5×	body	320	invalid
0.0ms	1×	body	640	invalid

Details

analyze1.2s

sample99.0ms

simplify235.0ms

prune9.0ms

localize10.0ms

rewrite26.0ms

series65.0ms

simplify53.0ms

prune141.0ms

localize15.0ms

rewrite49.0ms

series36.0ms

simplify66.0ms

prune284.0ms

localize25.0ms

rewrite60.0ms

series62.0ms

simplify54.0ms

prune229.0ms

localize24.0ms

rewrite29.0ms

series70.0ms

simplify62.0ms

prune133.0ms

regimes591.0ms

bsearch31.0ms

simplify4.0ms

end0.0ms

sample2.7s

Profiling