Details

sample45.0ms

Algorithm

intervals

Results

14.0ms	126×	body	160	valid
7.0ms	130×	body	80	valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	82	36
1	292	36
2	968	36
3	4499	36
4	5002	36

prune4.0ms

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: 13.9b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.1b	(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.4b	(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
13.8b	(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `associate-+r+` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `diff-log` `sum-log` `flip--`

Counts

4 → 83

Calls

4 calls:

5.0ms	(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
5.0ms	(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
3.0ms	(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
3.0ms	(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
30.0ms	(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
313.0ms	(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
830.0ms	(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

simplify66.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	439	1858
1	2031	1698
2	5001	1695

prune407.0ms

Filtered

95 candidates to 76 candidates (80.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	88	7	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	7	96

Merged error: 13.8b

Counts

96 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))
0.4b	(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
13.8b	(- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (/ 1 (exp (pow (fabs x) 2))))))
13.8b	(log (exp (- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (/ 1 (exp (pow (fabs x) 2))))))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
5×	`log-prod`
4×	`flip3-+` `log-pow` `flip-+`
3×	`exp-prod` `associate-r`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `associate-+r+` `distribute-lft-in` `associate-*r/` `exp-sum` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `log-div` `flip3--` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip--` `div-inv`

Counts

4 → 83

Calls

4 calls:

10.0ms	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))
3.0ms	(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
3.0ms	(- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (/ 1 (exp (pow (fabs x) 2))))))
3.0ms	(log (exp (- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (/ 1 (exp (pow (fabs x) 2))))))))

series2.2s

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))
310.0ms	(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
778.0ms	(- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (/ 1 (exp (pow (fabs x) 2))))))
772.0ms	(log (exp (- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (/ 1 (exp (pow (fabs x) 2))))))))

simplify109.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	736	3635
1	3799	3301
2	5001	3301

prune455.0ms

Filtered

95 candidates to 73 candidates (76.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	96	6	102

Merged error: 13.8b

Counts

102 → 6

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))
0.4b	(+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))
13.8b	(- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (/ 1 (exp (pow (fabs x) 2))))))
13.8b	(log (exp (- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (/ 1 (exp (pow (fabs x) 2))))))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
16×	`cbrt-prod`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `cbrt-div`
8×	`add-log-exp`
7×	`flip3-+` `flip-+`
6×	`add-exp-log` `pow1/3` `swap-sqr` `associate-r` `associate-l`
5×	`log-prod`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `log-pow` `add-cbrt-cube` `unswap-sqr`
3×	`exp-prod`
2×	`sub-neg` `associate-r/` `exp-sum` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `log-div` `flip3--` `pow-plus` `exp-diff` `diff-log` `rem-log-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

9.0ms	(* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))
4.0ms	(+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))
3.0ms	(- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (/ 1 (exp (pow (fabs x) 2))))))
4.0ms	(log (exp (- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (/ 1 (exp (pow (fabs x) 2))))))))

series2.0s

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))
313.0ms	(+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))
783.0ms	(- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (/ 1 (exp (pow (fabs x) 2))))))
783.0ms	(log (exp (- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (/ 1 (exp (pow (fabs x) 2))))))))

simplify90.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	541	3734
1	2384	3372
2	5001	3330

prune536.0ms

Filtered

105 candidates to 71 candidates (67.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	104	7	111

Merged error: 13.8b

Counts

111 → 7

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))
0.4b	(+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))
0.5b	(cbrt (pow (- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (/ 1 (exp (pow (fabs x) 2)))))) 3))
13.8b	(- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (/ 1 (exp (pow (fabs x) 2))))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`cbrt-div`
11×	`pow1`
8×	`add-log-exp`
7×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `unswap-sqr`
3×	`unpow-prod-down` `cube-prod`
2×	`cube-div` `flip3--` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up` `flip--`
1×	`+-commutative` `pow2` `cube-mult` `sub-neg` `pow-plus` `diff-log` `unpow3` `prod-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `sqr-pow`

Counts

4 → 98

Calls

4 calls:

9.0ms	(* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))
4.0ms	(+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))
3.0ms	(cbrt (pow (- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (/ 1 (exp (pow (fabs x) 2)))))) 3))
3.0ms	(- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (/ 1 (exp (pow (fabs x) 2))))))

series2.0s

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))
315.0ms	(+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))
790.0ms	(cbrt (pow (- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (/ 1 (exp (pow (fabs x) 2)))))) 3))
782.0ms	(- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (+ 0.254829592 (* (/ 1 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (/ 1 (exp (pow (fabs x) 2))))))

simplify110.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	587	4447
1	2686	4328
2	5001	4289

prune512.0ms

Filtered

110 candidates to 69 candidates (62.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	112	5	117

Merged error: 13.7b

Counts

117 → 5

regimes105.0ms

Accuracy

0% (0.0b remaining)

Error of 13.9b against oracle of 13.9b and baseline of 13.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	49
1	50	49

end0.0ms

sample786.0ms

Algorithm

intervals

Results

440.0ms	3944×	body	160	valid
234.0ms	4056×	body	80	valid