Details

sample55.0ms

Algorithm

intervals

Results

15.0ms	304×	body	80	nan
14.0ms	293×	body	80	valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	8
1	89	7
2	291	7
3	898	7
4	2565	7
5	5001	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`log-prod` `add-log-exp`
11×	`add-cube-cbrt`
6×	`pow1` `distribute-rgt-in` `distribute-lft-in` `distribute-lft-out` `associate--r+`
5×	`add-exp-log` `fma-neg` `prod-diff` `add-cbrt-cube`
4×	`associate-r`
3×	`expm1-log1p-u` `diff-log` `associate-l` `sum-log` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

0.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
185.0ms	(- (+ (+ x y) z) (* z (log t)))
8.0ms	(* z (log t))

series167.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
31.0ms	(- (+ (+ x y) z) (* z (log t)))
36.0ms	(* z (log t))

simplify44.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	316	506
1	1388	439
2	5001	421

prune334.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma b (- a 0.5) (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))))
0.0b	(- 1 (log t))
0.1b	(fma z (- 1 (log t)) (+ x y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
7×	`pow1`
4×	`log-pow` `add-log-exp`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `fma-neg` `add-cbrt-cube` `log1p-expm1-u` `associate--r+`
2×	`fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 56

Calls

3 calls:

0.0ms	(fma b (- a 0.5) (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))))
8.0ms	(- 1 (log t))
0.0ms	(fma z (- 1 (log t)) (+ x y))

series285.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(fma b (- a 0.5) (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))))
120.0ms	(- 1 (log t))
43.0ms	(fma z (- 1 (log t)) (+ x y))

simplify165.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	261	516
1	873	360
2	4678	307
3	5001	307

prune331.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt t))
0.1b	(fma z (- 1 (log (sqrt t))) (+ x y))
0.1b	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
0.3b	(* z (log (sqrt t)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
15×	`sqrt-prod`
12×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
10×	`pow1`
7×	`add-exp-log`
6×	`associate-r` `log-pow` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-diff`
2×	`sqrt-pow1` `pow1/2` `fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

2.0ms	(log (sqrt t))
1.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
16.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
19.0ms	(* z (log (sqrt t)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(log (sqrt t))
92.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
125.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
81.0ms	(* z (log (sqrt t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	374	837
1	1294	773
2	5001	741

prune665.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (fma (- z) (* 2 (log (cbrt (sqrt t)))) (fma z (- 1 (log (sqrt t))) (+ x y))) (* z (log (cbrt (sqrt t)))))
0.3b	(* z (log (cbrt (sqrt t))))
0.6b	(cbrt (sqrt t))
0.6b	(cbrt (sqrt t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod` `log-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `pow1/3` `associate-l` `prod-diff`
2×	`log-pow`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

9.0ms	(- (fma (- z) (* 2 (log (cbrt (sqrt t)))) (fma z (- 1 (log (sqrt t))) (+ x y))) (* z (log (cbrt (sqrt t)))))
11.0ms	(* z (log (cbrt (sqrt t))))
1.0ms	(cbrt (sqrt t))
2.0ms	(cbrt (sqrt t))

series670.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(- (fma (- z) (* 2 (log (cbrt (sqrt t)))) (fma z (- 1 (log (sqrt t))) (+ x y))) (* z (log (cbrt (sqrt t)))))
114.0ms	(* z (log (cbrt (sqrt t))))
145.0ms	(cbrt (sqrt t))
148.0ms	(cbrt (sqrt t))

simplify50.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	411	1316
1	1421	1225
2	5002	1161

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes376.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

446.0ms	9163×	body	80	valid
382.0ms	9272×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid