Details

Time bar (total: 3.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms282×body80valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0215
1374
2604
31044
41744
52374
62664
73124
83754
95074
106664
1111174
1213414
1315134
1415354
1515354

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.7b
(fma y (/ (- z t) (- z a)) x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
10.0ms
(/ (- z t) (- z a))
1.0ms
(fma y (/ (- z t) (- z a)) x)

series125.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- z t) (- z a))
78.0ms
(fma y (/ (- z t) (- z a)) x)

simplify69.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0260433
1705410
22411410
35001410

prune213.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* (- z t) (/ 1 (- z a)))
1.7b
(fma y (* (- z t) (/ 1 (- z a))) x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 105
Calls
3 calls:
10.0ms
(/ 1 (- z a))
15.0ms
(* (- z t) (/ 1 (- z a)))
1.0ms
(fma y (* (- z t) (/ 1 (- z a))) x)

series163.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- z a))
50.0ms
(* (- z t) (/ 1 (- z a)))
76.0ms
(fma y (* (- z t) (/ 1 (- z a))) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0337585
11465510
25001468

prune300.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.3b
(/ 1 (/ (- z a) (- z t)))
1.7b
(fma y (/ 1 (/ (- z a) (- z t))) x)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
9.0ms
(/ (- z a) (- z t))
17.0ms
(/ 1 (/ (- z a) (- z t)))
1.0ms
(fma y (/ 1 (/ (- z a) (- z t))) x)

series238.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (- z a) (- z t))
100.0ms
(/ 1 (/ (- z a) (- z t)))
93.0ms
(fma y (/ 1 (/ (- z a) (- z t))) x)

simplify82.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06241890
127731707
250031538

prune441.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ y (/ (- z a) (- z t))) x)
0.0b
(/ (- z a) (- z t))
2.1b
(/ y (/ (- z a) (- z t)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
386×times-frac
322×*-un-lft-identity
320×add-sqr-sqrt
156×add-cube-cbrt
98×fma-def
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
18×associate-/r/
10×add-exp-log add-cbrt-cube div-inv
9×flip3-- flip--
8×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 310
Calls
3 calls:
45.0ms
(+ (/ y (/ (- z a) (- z t))) x)
10.0ms
(/ (- z a) (- z t))
13.0ms
(/ y (/ (- z a) (- z t)))

series276.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(+ (/ y (/ (- z a) (- z t))) x)
46.0ms
(/ (- z a) (- z t))
131.0ms
(/ y (/ (- z a) (- z t)))

simplify93.0ms

Algorithm
egg-herbie
Counts
319 → 319
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07161918
131041859
250011857

prune892.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes134.0ms

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 (1.0ms)

IterNodesCost
0156
1156

end0.0ms

sample537.0ms

Algorithm
intervals
Results
278.0ms8774×body80valid