Details

Time bar (total: 3.4s)

sample21.0ms

Algorithm
intervals
Results
9.0ms350×body80valid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1125764
1238734
1350014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
5.9b
(/ (* y (- z x)) t)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
5.0ms
(+ x (/ (* y (- z x)) t))
10.0ms
(* y (- z x))
6.0ms
(/ (* y (- z x)) t)

series126.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ x (/ (* y (- z x)) t))
35.0ms
(* y (- z x))
52.0ms
(/ (* y (- z x)) t)

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0290325
11223280
25001280

prune128.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
4.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
0.0ms
(cbrt t)
34.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series647.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt t)
178.0ms
(cbrt t)
193.0ms
(cbrt t)
90.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0480918
12615741
25001706

prune329.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z x) t)))
0.0b
(/ (- z x) t)
6.2b
(* y (/ (- z x) t))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
2.0ms
(+ x (* y (/ (- z x) t)))
7.0ms
(/ (- z x) t)
15.0ms
(* y (/ (- z x) t))

series115.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ x (* y (/ (- z x) t)))
26.0ms
(/ (- z x) t)
50.0ms
(* y (/ (- z x) t))

simplify42.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0342498
11398465
25001453

prune193.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (/ 1 (/ t (- z x)))))
0.0b
(/ t (- z x))
0.4b
(/ 1 (/ t (- z x)))
6.2b
(* y (/ 1 (/ t (- z x))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
186×add-sqr-sqrt
174×*-un-lft-identity
122×add-cube-cbrt
68×associate-*r*
36×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip--
7×pow1 cbrt-undiv prod-exp
6×associate-/l* add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 253
Calls
4 calls:
2.0ms
(+ x (* y (/ 1 (/ t (- z x)))))
5.0ms
(/ t (- z x))
10.0ms
(/ 1 (/ t (- z x)))
39.0ms
(* y (/ 1 (/ t (- z x))))

series154.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ x (* y (/ 1 (/ t (- z x)))))
31.0ms
(/ t (- z x))
32.0ms
(/ 1 (/ t (- z x)))
57.0ms
(* y (/ 1 (/ t (- z x))))

simplify82.0ms

Algorithm
egg-herbie
Counts
265 → 265
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07661799
138361592
250011398

prune453.0ms

Filtered
265 candidates to 154 candidates (58.1%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes158.0ms

Accuracy

69.4% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02416
12416

end0.0ms

sample521.0ms

Algorithm
intervals
Results
266.0ms10645×body80valid