Details

Time bar (total: 5.5s)

sample23.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0205
1364
2594
31034
41734
52364
62654
73114
83754
95114
106744
1111794
1213004
1313084
1413084

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.3b
(fma y (/ (- z t) (- a t)) x)

rewrite30.0ms

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:
27.0ms
(/ (- z t) (- a t))
0.0ms
(fma y (/ (- z t) (- a t)) x)

series137.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- z t) (- a t))
85.0ms
(fma y (/ (- z t) (- a t)) x)

simplify60.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0258433
1707410
22404410
35003410

prune201.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (- a t)) (/ t (- a t)))
0.0b
(/ z (- a t))
0.0b
(/ t (- a t))
1.3b
(fma y (- (/ z (- a t)) (/ t (- a t))) x)

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
713×*-un-lft-identity
703×add-sqr-sqrt
693×times-frac
441×prod-diff
413×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
8×add-exp-log add-cbrt-cube
6×associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 581
Calls
4 calls:
110.0ms
(- (/ z (- a t)) (/ t (- a t)))
12.0ms
(/ z (- a t))
11.0ms
(/ t (- a t))
0.0ms
(fma y (- (/ z (- a t)) (/ t (- a t))) x)

series289.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (/ z (- a t)) (/ t (- a t)))
32.0ms
(/ z (- a t))
48.0ms
(/ t (- a t))
137.0ms
(fma y (- (/ z (- a t)) (/ t (- a t))) x)

simplify176.0ms

Algorithm
egg-herbie
Counts
593 → 593
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0123415689
1329911705
2500211613

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.3b
(fma y (+ (- (* (cbrt z) (* (cbrt z) (/ (cbrt z) (- a t)))) (/ t (- a t))) (* (/ t (- a t)) (+ (- 1) 1))) 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 z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
0.0ms
(fma y (+ (- (* (cbrt z) (* (cbrt z) (/ (cbrt z) (- a t)))) (/ t (- a t))) (* (/ t (- a t)) (+ (- 1) 1))) x)

series719.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt z)
183.0ms
(cbrt z)
186.0ms
(cbrt z)
170.0ms
(fma y (+ (- (* (cbrt z) (* (cbrt z) (/ (cbrt z) (- a t)))) (/ t (- a t))) (* (/ t (- a t)) (+ (- 1) 1))) x)

simplify46.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0107369
1284324
2977305
35002292

prune267.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.3b
(fma y (+ (- (* (/ (* (cbrt z) (cbrt z)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt z) (cbrt (- a t)))) (/ t (- a t))) (* (/ t (- a t)) (+ (- 1) 1))) 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 z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
0.0ms
(fma y (+ (- (* (/ (* (cbrt z) (cbrt z)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt z) (cbrt (- a t)))) (/ t (- a t))) (* (/ t (- a t)) (+ (- 1) 1))) x)

series715.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt z)
181.0ms
(cbrt z)
183.0ms
(cbrt z)
166.0ms
(fma y (+ (- (* (/ (* (cbrt z) (cbrt z)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt z) (cbrt (- a t)))) (/ t (- a t))) (* (/ t (- a t)) (+ (- 1) 1))) x)

simplify44.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0115460
1318401
21188370
35002354

prune282.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes243.0ms

Accuracy

78.3% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 1.3b

bsearch77.0ms

Steps
ItersRangePoint
6
2700937.8939785375
41909398.58013415
7048436.448544466
10
-2.781710563952365e+25
-7908799307012.059
-2.6428557089177172e+23

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample605.0ms

Algorithm
intervals
Results
246.0ms8738×body80valid