Details

Time bar (total: 5.6s)

sample22.0ms

Algorithm
intervals
Results
8.0ms279×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
3.8b
(fma (/ y (- z a)) (- z t) x)

rewrite16.0ms

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:
14.0ms
(/ y (- z a))
0.0ms
(fma (/ y (- z a)) (- z t) x)

series96.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ y (- z a))
66.0ms
(fma (/ y (- z a)) (- z t) x)

simplify102.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (97.0ms)

IterNodesCost
0170266
1464247
21318247
34468246
45001244

prune145.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.8b
(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)
0.0ms
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- z a))) (- z t) x)

series621.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt y)
170.0ms
(cbrt y)
182.0ms
(cbrt y)
97.0ms
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- z a))) (- z t) x)

simplify41.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
086266
1210235
2810227
35001225

prune201.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) y)
0.0b
(+ (/ (- z t) (/ (- z a) y)) x)
12.1b
(/ (- z t) (/ (- z a) y))

rewrite187.0ms

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:
17.0ms
(/ (- z a) y)
120.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
32.0ms
(/ (- z t) (/ (- z a) y))

series195.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (- z a) y)
81.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
86.0ms
(/ (- z t) (/ (- z a) y))

simplify79.0ms

Algorithm
egg-herbie
Counts
303 → 303
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07931747
130171690
250011690

prune706.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
3.1b
(/ (cbrt (- z t)) (/ (cbrt (- z a)) y))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
440×times-frac
318×add-sqr-sqrt *-un-lft-identity
295×cbrt-prod
200×add-cube-cbrt
59×distribute-lft-out-- difference-of-squares
28×associate-/r*
10×div-inv
9×add-exp-log
8×cbrt-div associate-/l*
6×add-cbrt-cube
4×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×associate-/l/
1×frac-2neg clear-num associate-/r/
Counts
4 → 330
Calls
4 calls:
4.0ms
(cbrt (- z a))
4.0ms
(cbrt (- z a))
4.0ms
(cbrt (- z a))
35.0ms
(/ (cbrt (- z t)) (/ (cbrt (- z a)) y))

series685.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (- z a))
147.0ms
(cbrt (- z a))
136.0ms
(cbrt (- z a))
260.0ms
(/ (cbrt (- z t)) (/ (cbrt (- z a)) y))

simplify123.0ms

Algorithm
egg-herbie
Counts
342 → 342
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
09974545
138814455
250024283

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01919
11919

end0.0ms

sample651.0ms

Algorithm
intervals
Results
273.0ms8733×body80valid