Details

Time bar (total: 5.7s)

sample22.0ms

Algorithm
intervals
Results
10.0ms272×body80valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1586
21076
31886
43646
57226
610676
714526
819636
921436
1021456
1121456

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.3b

Counts
2 → 1

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b
(/ (+ (- t z) 1.0) a)
11.1b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
239×*-un-lft-identity
203×times-frac
136×add-sqr-sqrt
87×add-cube-cbrt
44×distribute-lft-out
43×distribute-lft-out--
23×difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×flip3-- frac-2neg clear-num flip--
1×associate-+l- sub-neg flip3-+ diff-log associate-/r/ flip-+ associate--r-
Counts
3 → 192
Calls
3 calls:
29.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
9.0ms
(/ (+ (- t z) 1.0) a)
13.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series243.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
31.0ms
(/ (+ (- t z) 1.0) a)
124.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify77.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
07071950
126291888
250011887

prune366.0ms

Filtered
201 candidates to 119 candidates (59.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1965201
Fresh000
Picked011
Done000
Total1966202

Merged error: 0b

Counts
202 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b
(/ (- y z) (+ (- t z) 1.0))
0.6b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
54×add-sqr-sqrt
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 114
Calls
3 calls:
2.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
14.0ms
(/ (- y z) (+ (- t z) 1.0))
15.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series259.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
52.0ms
(/ (- y z) (+ (- t z) 1.0))
121.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify45.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0436882
11450824
25001823

prune199.0ms

Filtered
123 candidates to 77 candidates (62.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1221123
Fresh224
Picked011
Done011
Total1245129

Merged error: 0b

Counts
129 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b
(/ (- y z) (+ (- t z) 1.0))
0.7b
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
1079×times-frac
929×*-un-lft-identity
570×add-sqr-sqrt
393×add-cube-cbrt
153×distribute-lft-out--
152×distribute-lft-out
83×difference-of-squares
48×div-inv
36×associate-/l*
31×associate-/r/
27×add-exp-log
18×associate-/r*
17×div-exp add-cbrt-cube
15×flip3-+ flip-+
9×cbrt-undiv
5×div-sub add-log-exp
3×pow1 associate-/l/
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip--
1×sub-neg diff-log associate--r-
Counts
3 → 545
Calls
3 calls:
97.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
10.0ms
(/ (- y z) (+ (- t z) 1.0))
27.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series260.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
47.0ms
(/ (- y z) (+ (- t z) 1.0))
128.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify115.0ms

Algorithm
egg-herbie
Counts
554 → 554
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
019257704
150027175

prune714.0ms

Filtered
554 candidates to 225 candidates (40.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New5540554
Fresh022
Picked011
Done022
Total5545559

Merged error: 0b

Counts
559 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
2.5b
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
525×times-frac
460×*-un-lft-identity
346×add-sqr-sqrt
287×cbrt-prod
265×associate-*r*
206×add-cube-cbrt
82×distribute-lft-out--
73×add-exp-log
60×distribute-lft-out
52×difference-of-squares
39×add-cbrt-cube
27×cbrt-undiv div-exp prod-exp cbrt-unprod
13×associate-*l*
12×cbrt-div unswap-sqr
9×associate-/r/
7×div-inv
6×pow1 flip3-+ flip-+
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 365
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
111.0ms
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

series956.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt a)
467.0ms
(cbrt a)
176.0ms
(cbrt a)
139.0ms
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

simplify118.0ms

Algorithm
egg-herbie
Counts
377 → 377
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
018907511
150017157

prune1.1s

Filtered
377 candidates to 239 candidates (63.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3770377
Fresh011
Picked011
Done033
Total3775382

Merged error: 0b

Counts
382 → 5

regimes179.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample578.0ms

Algorithm
intervals
Results
323.0ms8438×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid

Profiling

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