Details

analyze640.0ms

Algorithm: search

sample61.0ms

Algorithm

intervals

Results

27.0ms	67×	body	1280	valid
15.0ms	66×	body	640	valid
4.0ms	29×	body	320	valid
4.0ms	84×	body	80	valid
1.0ms	10×	body	160	valid

simplify435.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	28	7
2	40	7
3	73	7
4	176	7
5	559	7
6	2626	7
7	5001	7

prune5.0ms

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: 42.8b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.0b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
3.7b	(- (exp (* 2.0 x)) 1.0)
3.8b	(- (exp x) 1.0)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
51×	`times-frac`
31×	`sqrt-prod`
27×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`associate-/r/`
2×	`sub-neg` `rem-sqrt-square` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num`

Counts

4 → 123

Calls

4 calls:

9.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
9.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.0ms	(- (exp (* 2.0 x)) 1.0)
6.0ms	(- (exp x) 1.0)

series32.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
8.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
3.0ms	(- (exp (* 2.0 x)) 1.0)
10.0ms	(- (exp x) 1.0)

simplify119.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	387	1380
1	1054	1314
2	4265	1301
3	5001	1293

prune247.0ms

Filtered

92 candidates to 135 candidates (-46.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	2	136

Merged error: 0.0b

Counts

136 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (+ 1.0 (* 0.5 x))) 2.0)
0.0b	(* x (+ 1.0 (* 0.5 x)))
9.4b	(sqrt (+ (* x (+ 1.0 (* 0.5 x))) 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `associate-r` `associate-l` `sqrt-prod` `flip-+`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `sqrt-div` `associate-*r/`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

5.0ms	(+ (* x (+ 1.0 (* 0.5 x))) 2.0)
5.0ms	(* x (+ 1.0 (* 0.5 x)))
5.0ms	(sqrt (+ (* x (+ 1.0 (* 0.5 x))) 2.0))

series17.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ (* x (+ 1.0 (* 0.5 x))) 2.0)
6.0ms	(* x (+ 1.0 (* 0.5 x)))
8.0ms	(sqrt (+ (* x (+ 1.0 (* 0.5 x))) 2.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	308	385
1	1305	364
2	5001	352

prune79.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	59	2	61

Merged error: 0.0b

Counts

61 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0))
0.0b	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
3.8b	(- (exp x) 1.0)
3.8b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
14×	`sqrt-prod`
11×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
9×	`flip3--` `associate-r` `flip--`
8×	`frac-times` `add-cube-cbrt` `associate-/l/` `add-log-exp`
7×	`distribute-lft-out--`
6×	`pow1` `flip3-+` `flip-+`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`sub-neg` `associate-r/` `associate-l/`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `diff-log` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

18.0ms	(/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0))
18.0ms	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
4.0ms	(- (exp x) 1.0)
6.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))

series38.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0))
12.0ms	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
2.0ms	(- (exp x) 1.0)
5.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	481	1464
1	2403	1163
2	5002	1124

prune290.0ms

Filtered

83 candidates to 117 candidates (-41.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0b

Counts

119 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (exp (log (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))))
0.1b	(exp (log (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))))
3.8b	(- (exp x) 1.0)
3.8b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
20×	`sqrt-prod`
19×	`log-prod` `exp-sum`
13×	`difference-of-squares`
12×	`associate-r`
9×	`add-cube-cbrt`
8×	`log-div` `exp-diff` `add-log-exp`
7×	`pow1` `distribute-lft-out--`
6×	`flip3--` `add-cbrt-cube` `flip--`
5×	`add-exp-log` `associate-l`
4×	`frac-times` `exp-prod`
3×	`flip3-+` `flip-+`
2×	`sub-neg` `diff-log` `associate-r/` `associate-l/` `distribute-lft-out` `unswap-sqr`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `rem-exp-log`

Counts

4 → 93

Calls

4 calls:

19.0ms	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (exp (log (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))))
7.0ms	(exp (log (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))))
4.0ms	(- (exp x) 1.0)
8.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))

series23.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (exp (log (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))))
5.0ms	(exp (log (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))))
2.0ms	(- (exp x) 1.0)
5.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	323	1052
1	1258	940
2	5002	906

prune265.0ms

Filtered

68 candidates to 105 candidates (-54.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	105	3	108

Merged error: 0b

Counts

108 → 3

regimes40.0ms

Accuracy

98.8% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 20.9b

bsearch33.0ms

Steps

Iters	Range		Point
10	-0.040642156647001604	-2.424943232386548e-17	-1.4280512546770173e-05

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	20
1	30	20

end0.0ms

analyze447.0ms

Algorithm: search

sample1.6s

Algorithm

intervals

Results

836.0ms	2308×	body	1280	valid
381.0ms	1675×	body	640	valid
125.0ms	797×	body	320	valid
122.0ms	2816×	body	80	valid
40.0ms	404×	body	160	valid
0.0ms	4×	body	80	invalid

Details

analyze640.0ms

sample61.0ms

simplify435.0ms

prune5.0ms

localize12.0ms

rewrite50.0ms

series32.0ms

simplify119.0ms

prune247.0ms

localize7.0ms

rewrite17.0ms

series17.0ms

simplify42.0ms

prune79.0ms

localize14.0ms

rewrite50.0ms

series38.0ms

simplify64.0ms

prune290.0ms

localize16.0ms

rewrite42.0ms

series23.0ms

simplify42.0ms

prune265.0ms

regimes40.0ms

bsearch33.0ms

simplify2.0ms

end0.0ms

analyze447.0ms

sample1.6s

Profiling