Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

284×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.8b	(* y (/ (- z t) (- a t)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

7.0ms	(+ x (* y (/ (- z t) (- a t))))
9.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

series218.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ x (* y (/ (- z t) (- a t))))
58.0ms	(/ (- z t) (- a t))
73.0ms	(* y (/ (- z t) (- a t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	433	776
1	1705	730
2	5002	730

prune372.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
1.8b	(* y (* (- z t) (/ 1 (- a t))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
26×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-*l/` `associate-/r/` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `fma-def` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 141

Calls

4 calls:

4.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
6.0ms	(/ 1 (- a t))
15.0ms	(* (- z t) (/ 1 (- a t)))
14.0ms	(* y (* (- z t) (/ 1 (- a t))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
38.0ms	(/ 1 (- a t))
59.0ms	(* (- z t) (/ 1 (- a t)))
78.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify69.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	468	829
1	2047	715
2	5003	668

prune397.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(* (cbrt (- a t)) (cbrt (- a t)))
6.6b	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
65×	`cbrt-prod`
54×	`associate-r`
50×	`times-frac`
35×	`add-cube-cbrt`
30×	`cbrt-div`
27×	`add-exp-log`
23×	`associate-l`
21×	`distribute-lft-out--`
19×	`difference-of-squares`
18×	`add-cbrt-cube`
15×	`flip3--` `flip--`
13×	`pow1`
10×	`swap-sqr` `associate-/r/` `unswap-sqr`
9×	`frac-times` `prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
5×	`associate-r/` `associate-l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus`

Counts

4 → 185

Calls

4 calls:

4.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
11.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
36.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

series721.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (- a t))
194.0ms	(cbrt (- a t))
163.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
172.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

simplify132.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	762	1976
1	3980	1802
2	5002	1675

prune702.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
3.7b	(cbrt (/ (- z t) (- a t)))
3.7b	(cbrt (/ (- z t) (- a t)))
3.7b	(cbrt (/ (- z t) (- a t)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

24.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
13.0ms	(cbrt (/ (- z t) (- a t)))
8.0ms	(cbrt (/ (- z t) (- a t)))
8.0ms	(cbrt (/ (- z t) (- a t)))

series1.4s

Counts

4 → 12

Calls

4 calls:

216.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
392.0ms	(cbrt (/ (- z t) (- a t)))
400.0ms	(cbrt (/ (- z t) (- a t)))
391.0ms	(cbrt (/ (- z t) (- a t)))

simplify134.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	462	1675
1	1128	1602
2	4083	1588
3	5001	1579

prune651.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes366.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample540.0ms

Algorithm

intervals

Results

281.0ms

8713×

body

valid