Details

Time bar (total: 4.2s)

sample26.0ms

Algorithm
intervals
Results
13.0ms284×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

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

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 1.3b

Counts
2 → 1

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)

rewrite13.0ms

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
associate-/r* associate-/l*
add-exp-log add-cbrt-cube
pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
9.0ms
(/ (- z t) (- a t))
1.0ms
(fma y (/ (- z t) (- a t)) x)

series131.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- z t) (- a t))
81.0ms
(fma y (/ (- z t) (- a t)) x)

simplify69.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0258433
1707410
22404410
35003410

prune190.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New62870
Fresh000
Picked011
Done000
Total62971

Merged error: 0.9b

Counts
71 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.2b
(/ 1 (/ (- a t) (- z t)))
1.3b
(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite35.0ms

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
div-exp associate-/l*
flip3-- flip-- div-inv
pow1 cbrt-undiv
expm1-log1p-u log1p-expm1-u add-log-exp
rec-exp frac-2neg 1-exp clear-num associate-/l/
pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
9.0ms
(/ (- a t) (- z t))
13.0ms
(/ 1 (/ (- a t) (- z t)))
1.0ms
(fma y (/ 1 (/ (- a t) (- z t))) x)

series385.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (- a t) (- z t))
144.0ms
(/ 1 (/ (- a t) (- z t)))
191.0ms
(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify90.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06201891
127621708
250021537

prune358.0ms

Filtered
223 candidates to 107 candidates (48.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2221223
Fresh347
Picked101
Done011
Total2266232

Merged error: 0.9b

Counts
232 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ y (/ (- a t) (- z t))) x)
0.0b
(/ (- a t) (- z t))
1.6b
(/ y (/ (- a t) (- z t)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
386×times-frac
322×*-un-lft-identity
320×add-sqr-sqrt
156×add-cube-cbrt
98×fma-def
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
18×associate-/r/
10×add-exp-log add-cbrt-cube div-inv
flip3-- flip--
associate-/l*
add-log-exp
cbrt-undiv div-exp
pow1 expm1-log1p-u log1p-expm1-u
frac-2neg clear-num associate-/l/
+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 310
Calls
3 calls:
44.0ms
(+ (/ y (/ (- a t) (- z t))) x)
9.0ms
(/ (- a t) (- z t))
12.0ms
(/ y (/ (- a t) (- z t)))

series436.0ms

Counts
3 → 9
Calls
3 calls:
225.0ms
(+ (/ y (/ (- a t) (- z t))) x)
49.0ms
(/ (- a t) (- z t))
162.0ms
(/ y (/ (- a t) (- z t)))

simplify93.0ms

Algorithm
egg-herbie
Counts
319 → 319
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07111921
130851862
250011858

prune770.0ms

Filtered
319 candidates to 224 candidates (70.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3172319
Fresh314
Picked011
Done011
Total3205325

Merged error: 0b

Counts
325 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
1.3b
(fma y (* (- z t) (/ 1 (- a t))) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1
associate-*l* associate-/r*
flip3-- div-exp prod-exp associate-/r/ flip--
expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 105
Calls
3 calls:
6.0ms
(/ 1 (- a t))
14.0ms
(* (- z t) (/ 1 (- a t)))
1.0ms
(fma y (* (- z t) (/ 1 (- a t))) x)

series179.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 1 (- a t))
58.0ms
(* (- z t) (/ 1 (- a t)))
83.0ms
(fma y (* (- z t) (/ 1 (- a t))) x)

simplify50.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0333585
11453510
25001468

prune219.0ms

Filtered
114 candidates to 71 candidates (62.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1140114
Fresh022
Picked011
Done022
Total1145119

Merged error: 0b

Counts
119 → 5

regimes159.0ms

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
0115
1115

end0.0ms

sample810.0ms

Algorithm
intervals
Results
546.0ms8691×body80valid
0.0msbody1280valid

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