Details

Time bar (total: 4.1s)

sample30.0ms

Algorithm
intervals
Results
18.0ms317×body80valid

simplify105.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z x))
6.7b
(/ (* y (- z x)) t)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 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/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
10.0ms
(* y (- z x))
7.0ms
(/ (* y (- z x)) t)

series85.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* y (- z x))
47.0ms
(/ (* y (- z x)) t)

simplify33.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0231226
11033189
25002189

prune103.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
5.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite43.0ms

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)
38.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series642.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt t)
180.0ms
(cbrt t)
181.0ms
(cbrt t)
93.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0480918
12615741
25001706

prune317.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

5.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))
7.5b
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
7.5b
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
7.5b
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×times-frac
35×*-un-lft-identity
34×associate-*r*
25×add-exp-log
23×add-cube-cbrt
20×cbrt-prod
18×add-cbrt-cube
9×cbrt-div
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×frac-times associate-*r/ associate-*l/ add-log-exp
3×pow1/3
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 107
Calls
4 calls:
38.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))
16.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
16.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
16.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))

series469.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))
120.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
129.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))
128.0ms
(cbrt (* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t))))

simplify60.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05371302
126471148
250011089

prune419.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ t (- z x))
10.0ms
(/ y (/ t (- z x)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ t (- z x))
56.0ms
(/ y (/ t (- z x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04811051
121901013
250011004

prune317.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes106.0ms

Accuracy

-22% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 2.2b

bsearch106.0ms

Steps
ItersRangePoint
9
1.3184517243906365e+126
5.416906886348369e+135
3.332766455833534e+135
9
4.0357577402084977e-116
3.072212188147033e-111
3.0458063414716667e-111

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02813
12813

end0.0ms

sample920.0ms

Algorithm
intervals
Results
633.0ms10655×body80valid