Details

sample44.0ms

Algorithm

intervals

Results

23.0ms

281×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	62	11
1	132	11
2	377	10
3	1105	10
4	3599	10
5	5001	10

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.1b	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
2.3b	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
23.2b	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `fma-udef` `associate-/l`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 59

Calls

4 calls:

0.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.0ms	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
2.0ms	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series946.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
93.0ms	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
113.0ms	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
700.0ms	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify106.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	278	590
1	861	530
2	3620	522
3	5002	520

prune402.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

14.0b	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
14.0b	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
14.0b	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
23.2b	(fma (/ (/ y (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms	(fma (/ (/ y (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
149.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
155.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
734.0ms	(fma (/ (/ y (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	181	755
1	472	661
2	1648	642
3	5002	619

prune433.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.1b	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
2.3b	(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
24.2b	(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `fma-udef`
1×	`associate-/r/`

Counts

4 → 121

Calls

4 calls:

0.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.0ms	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
2.0ms	(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
5.0ms	(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))

series525.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
96.0ms	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
93.0ms	(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
294.0ms	(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))

simplify71.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	526	1835
1	1950	1723
2	5003	1721

prune743.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.1b	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
0.2b	(* (/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) y)
23.2b	(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.0ms	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
7.0ms	(* (/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) y)
2.0ms	(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))

series692.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
95.0ms	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
295.0ms	(* (/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) y)
265.0ms	(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))

simplify56.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	376	1076
1	1257	954
2	5001	950

prune470.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes605.0ms

Accuracy

96.4% (1.0b remaining)

Error of 1.3b against oracle of 0.3b and baseline of 27.8b

bsearch245.0ms

Steps

Iters	Range		Point
7	1.7262777908525187e+22	1.450008995631656e+24	7.728158374204375e+23
9	-3.1652854145858623e+65	-1.058039582006875e+60	-1.4147745277568354e+60

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	19
1	51	19

end0.0ms

sample924.0ms

Algorithm

intervals

Results

611.0ms

8879×

body

valid