Details

Time bar (total: 5.8s)

sample22.0ms

Algorithm
intervals
Results
11.0ms284×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0175
1325
2604
31124
41724
52314
62794
73524
84854
96484
1010744
1113584
1213994
1313994

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
2.9b
(fma (/ y (- a t)) (- z t) x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
5.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- z t) x)

series194.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ y (- a t))
167.0ms
(fma (/ y (- a t)) (- z t) x)

simplify101.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune153.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.7b
(/ 1 (/ (- a t) y))
2.9b
(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
101×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
10×add-cbrt-cube
8×div-exp associate-/l*
6×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×flip3-- pow-flip div-sub associate-/r/ flip-- fma-udef inv-pow
Counts
3 → 152
Calls
3 calls:
11.0ms
(/ (- a t) y)
9.0ms
(/ 1 (/ (- a t) y))
0.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

series273.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- a t) y)
69.0ms
(/ 1 (/ (- a t) y))
178.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04621073
11927947
25001836

prune291.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (- z t) (/ (- a t) y)) x)
0.0b
(/ (- a t) y)
11.8b
(/ (- z t) (/ (- a t) y))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
370×times-frac
306×*-un-lft-identity
304×add-sqr-sqrt
152×add-cube-cbrt
100×fma-def
76×distribute-lft-out-- difference-of-squares
22×associate-/r*
14×div-inv
10×add-exp-log add-cbrt-cube associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 expm1-log1p-u div-sub log1p-expm1-u
2×flip3-- frac-2neg clear-num associate-/r/ flip--
1×+-commutative associate-+l- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 294
Calls
3 calls:
87.0ms
(+ (/ (- z t) (/ (- a t) y)) x)
9.0ms
(/ (- a t) y)
15.0ms
(/ (- z t) (/ (- a t) y))

series208.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ (/ (- z t) (/ (- a t) y)) x)
25.0ms
(/ (- a t) y)
97.0ms
(/ (- z t) (/ (- a t) y))

simplify79.0ms

Algorithm
egg-herbie
Counts
303 → 303
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07911747
130181690
250011690

prune717.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (/ (- z t) (- a t)) (/ 1 y)) x)
0.0b
(/ (- z t) (- a t))
1.9b
(/ (/ (- z t) (- a t)) (/ 1 y))

rewrite390.0ms

Algorithm
rewrite-expression-head
Rules
2073×times-frac
1320×*-un-lft-identity
1318×add-sqr-sqrt
754×add-cube-cbrt
408×fma-def
282×distribute-lft-out-- difference-of-squares
93×div-inv
58×associate-/r/
36×associate-/l*
29×flip3-- flip--
27×add-exp-log
18×associate-/r*
17×div-exp add-cbrt-cube
9×cbrt-undiv
5×div-sub add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u associate-/l/
2×rec-exp frac-2neg 1-exp clear-num
1×+-commutative associate-+l- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 951
Calls
3 calls:
244.0ms
(+ (/ (/ (- z t) (- a t)) (/ 1 y)) x)
15.0ms
(/ (- z t) (- a t))
27.0ms
(/ (/ (- z t) (- a t)) (/ 1 y))

series232.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(+ (/ (/ (- z t) (- a t)) (/ 1 y)) x)
46.0ms
(/ (- z t) (- a t))
98.0ms
(/ (/ (- z t) (- a t)) (/ 1 y))

simplify115.0ms

Algorithm
egg-herbie
Counts
960 → 960
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
021727115
150016615

prune2.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample508.0ms

Algorithm
intervals
Results
262.0ms8712×body80valid
0.0ms1×body160valid