Details

sample76.0ms

Algorithm

intervals

Results

24.0ms	789×	body	80	nan
12.0ms	256×	body	80	valid
0.0ms	1×	body	1280	valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	134	6
3	282	6
4	541	5
5	752	5
6	968	5
7	1199	5
8	1327	5
9	1327	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log t) (+ y z))
0.1b	(fma (log y) x (- (log t) (+ y z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

22.0ms	(- (log t) (+ y z))
0.0ms	(fma (log y) x (- (log t) (+ y z)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- (log t) (+ y z))
47.0ms	(fma (log y) x (- (log t) (+ y z)))

simplify104.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	242	500
1	768	348
2	4200	307
3	5001	307

prune134.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
48×	`prod-diff`
41×	`log-pow`
34×	`pow1`
33×	`add-sqr-sqrt`
32×	`associate-+r+`
31×	`add-cube-cbrt`
28×	`distribute-lft-out`
18×	`log-prod`
12×	`associate--l+` `distribute-lft-out--`
10×	`sqrt-pow1` `pow1/2` `add-log-exp`
9×	`sqrt-prod`
6×	`associate-+l+` `fma-def` `fma-neg`
5×	`sum-log`
4×	`diff-log`
3×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `fma-udef` `associate--r+` `difference-of-squares`

Counts

3 → 137

Calls

3 calls:

27.0ms	(- (log (sqrt t)) (+ y z))
63.0ms	(+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))
0.0ms	(fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z))))

series249.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (log (sqrt t)) (+ y z))
91.0ms	(+ (log (sqrt t)) (- (log (sqrt t)) (+ y z)))
65.0ms	(fma (log y) x (+ (log (sqrt t)) (- (log (sqrt t)) (+ y z))))

simplify43.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	409	1340
1	1196	991
2	5001	893

prune310.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
10.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

299.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
300.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
306.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
292.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	393	1346
1	1556	1220
2	5001	1117

prune342.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.5b	(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.5b	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.5b	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
38×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
14×	`pow1/3`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 111

Calls

4 calls:

5.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
1.0ms	(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
10.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
10.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

303.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
303.0ms	(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
307.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
303.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify70.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	554	1948
1	2161	1781
2	5001	1624

prune461.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes261.0ms

Accuracy

0% (0.0b 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	10	5
1	10	5

end0.0ms

sample2.2s

Algorithm

intervals

Results

753.0ms	23867×	body	80	nan
323.0ms	8024×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	1280	valid