Details

Time bar (total: 4.1s)

sample24.0ms

Algorithm
intervals
Results
12.0ms277×body80valid

simplify71.0ms

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

prune6.0ms

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)

rewrite15.0ms

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:
12.0ms
(/ (- z t) (- z a))
0.0ms
(fma y (/ (- z t) (- z a)) x)

series113.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- z t) (- z a))
70.0ms
(fma y (/ (- z t) (- z a)) x)

simplify64.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0260433
1705410
22411410
35001410

prune183.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.2b

localize9.0ms

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)

rewrite43.0ms

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:
12.0ms
(/ (- z a) (- z t))
15.0ms
(/ 1 (/ (- z a) (- z t)))
0.0ms
(fma y (/ 1 (/ (- z a) (- z t))) x)

series219.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (- z a) (- z t))
94.0ms
(/ 1 (/ (- z a) (- z t)))
82.0ms
(fma y (/ 1 (/ (- z a) (- z t))) x)

simplify74.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06241890
127731707
250031538

prune372.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite147.0ms

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:
97.0ms
(+ (/ y (/ (- z a) (- z t))) x)
12.0ms
(/ (- z a) (- z t))
15.0ms
(/ y (/ (- z a) (- z t)))

series244.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(+ (/ y (/ (- z a) (- z t))) x)
44.0ms
(/ (- z a) (- z t))
112.0ms
(/ y (/ (- z a) (- z t)))

simplify83.0ms

Algorithm
egg-herbie
Counts
319 → 319
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
07161918
131041859
250011857

prune762.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z a))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 68
Calls
4 calls:
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))

series569.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (- z a))
146.0ms
(cbrt (- z t))
143.0ms
(cbrt (- z t))
138.0ms
(cbrt (- z t))

simplify60.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0255452
1569432
21542420
35001392

prune334.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
11819

end0.0ms

sample513.0ms

Algorithm
intervals
Results
265.0ms8719×body80valid
0.0ms1×body1280valid