Details

Time bar (total: 4.5s)

sample23.0ms

Algorithm
intervals
Results
8.0ms281×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0185
1335
2614
31134
41734
52324
62804
73534
84854
96444
1010954
1113194
1214914
1315134
1415134

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
2.2b
(fma (/ y (- z a)) (- z t) x)

rewrite14.0ms

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

series109.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ y (- z a))
80.0ms
(fma (/ y (- z a)) (- z t) x)

simplify128.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (123.0ms)

IterNodesCost
0170266
1464247
21318247
34468246
45001244

prune172.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* y (/ 1 (- z a)))
2.2b
(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- 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 → 99
Calls
3 calls:
16.0ms
(/ 1 (- z a))
32.0ms
(* y (/ 1 (- z a)))
0.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

series147.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (- z a))
32.0ms
(* y (/ 1 (- z a)))
79.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

simplify84.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0288498
11139430
24201384
35002382

prune260.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
2.2b
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- z a))) (- z t) x)

rewrite4.0ms

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 y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- z a))) (- z t) x)

series703.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt y)
196.0ms
(cbrt y)
201.0ms
(cbrt y)
111.0ms
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- z a))) (- z t) x)

simplify45.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
086266
1210235
2810227
35001225

prune500.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (- z t) (/ (- z a) y)) x)
0.0b
(/ (- z a) y)
9.6b
(/ (- z t) (/ (- z a) y))

rewrite202.0ms

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:
130.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
18.0ms
(/ (- z a) y)
35.0ms
(/ (- z t) (/ (- z a) y))

series219.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
30.0ms
(/ (- z a) y)
103.0ms
(/ (- z t) (/ (- z a) y))

simplify101.0ms

Algorithm
egg-herbie
Counts
303 → 303
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
07931747
130171690
250011690

prune818.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0156
1156

end0.0ms

sample611.0ms

Algorithm
intervals
Results
259.0ms8663×body80valid