Details

Time bar (total: 3.2s)

sample27.0ms

Algorithm
intervals
Results
15.0ms275×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.8b
(fma y (/ (- z t) (- z a)) x)

rewrite14.0ms

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:
44.0ms
(/ (- z t) (- z a))
70.0ms
(fma y (/ (- z t) (- z a)) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0260433
1705410
22411410
35001410

prune182.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.3b
(/ 1 (/ (- z a) (- z t)))
0.8b
(fma y (/ 1 (/ (- z a) (- z t))) x)

rewrite41.0ms

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))
17.0ms
(/ 1 (/ (- z a) (- z t)))
0.0ms
(fma y (/ 1 (/ (- z a) (- z t))) x)

series212.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (- z a) (- z t))
91.0ms
(/ 1 (/ (- z a) (- z t)))
80.0ms
(fma y (/ 1 (/ (- z a) (- z t))) x)

simplify67.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
06241890
127731707
250031538

prune365.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.6b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
11.0ms
(/ (- z a) (- z t))
14.0ms
(/ y (/ (- z a) (- z t)))

series153.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- z a) (- z t))
113.0ms
(/ y (/ (- z a) (- z t)))

simplify70.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06391797
128671744
250011741

prune452.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
8.9b
(* (/ y (- z a)) (- z t))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
50×*-un-lft-identity
34×add-cube-cbrt
31×times-frac
21×associate-*l*
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 109
Calls
2 calls:
5.0ms
(/ y (- z a))
28.0ms
(* (/ y (- z a)) (- z t))

series138.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ y (- z a))
111.0ms
(* (/ y (- z a)) (- z t))

simplify56.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0473835
11935671
25001665

prune233.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample763.0ms

Algorithm
intervals
Results
502.0ms8692×body80valid
0.0ms1×body160valid